Swapnil Kumar Sharma Model Rocketry

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    MODEL ROCKETRYAn Interesting Educational Tool

    -by

    Swapnil Kumar Sharma Former Child Scientist

    Trained and Developed by:

    Voluntary Institute for Community Applied Science VICAS, India

    HD-86, ADA Colony, Naini, Allahabad, Uttar Pradesh PIN: 211008

    e-mail: [email protected]

    Visit us at: www.vicasindia.com OR http://vicasindia.blogspot.com

    Cellphone No.: +91 94509 61953

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    THINGS TO LEARN AND UNDERSTAND BY THE MODEL ROCKETRY ACTIVITY

    Through this activity the participants will easily understand the concepts of Physics, Chemistry, and

    Mathematics and will know some facts about space which are as follows:

    PHYSICS:

    How Thrust helps a rocket to fly?

    Practical aspect of Center of Gravity and Center of Pressure i.e. how they are related with

    each other, their role and importance in a flight of a rocket. How to find the Center of Gravity

    and Center of Pressure of an object?

    Factor affecting the flight of a Rocket and how? Brief discussion on the wind, gravitational pull,

    air friction and thrust and their role.

    How stability is attained and its role?

    How to determine and check whether an object is balanced/stable by Center of Gravity and

    Center of Pressure. Practical application of Newtons Third Law.

    Practical application and realization of force, mass and acceleration with their relation

    (Newtons Second Law).

    Application of equations of motion i.e. v = u + at, S = u + at2 and v2 = u2 + 2aS

    CHEMISTRY:

    Learn and understand the types of fuels used in propellants.

    Role of Oxidizer and fuel and basic difference between them.

    MATHEMATICS:

    Practical application of Trigonometry and Geometry in real life.

    Calculating in determining the approximate height of a flying object in free space with the help

    of geometry.

    SPACE:

    By the videos being displayed the students will get a feel of different situations and conditions

    faced by the astronauts in space.

    Biological effects on the body of the astronauts in space and detail discussion on their cause. Technical aspect of countdown before any launch.

    Comparison between a Model Rocket & Real Rocket and Rocket & Airplane.

    TEAM WORK:

    Experience of working in a team/group while developing model rocket.

    Experience of coordinating with different teams/groups while the launch of model rocket i.e. at

    the time of launch there are two recording teams, two tracking teams, one launching team

    monitored and instructed by the resource person.

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    THRUST:

    Thrust (T):

    This is the instantaneous force or push produced at a

    given time by the operating engine. It is measured in

    Newtons.

    The Thrust may or may not remain constant throughout

    the operation of the engine but follows curve path.

    Thrust of the Engine:

    This is the reaction Produced due the action of the ho

    gases coming out of the nozzle. This force acts in the

    direction opposite of the gas coming out.

    Maximum Thrust:

    It is the highest amount of push produced by the engine

    during the whole operation.

    Burn out Time or Thrust Duration (tB):

    It is the length of the time for which thrust is produced by

    the engine i.e. the time from state of ignition to the time

    when the ceases to produce thrust.

    The instant when the engine ceases to produce thrust is

    known as 'Burn Out'

    Total Thrust:

    It is the total impulse by the engine. If the thrust duration

    is broken in small time intervals and thrust is found out for

    every small interval, then sum of the products of the smal

    time interval and thrust at that time upto all small time

    intervals give the total thrust.

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    Average Thrust (Tav):

    It is the equivalent constant thrust which would act for the same total duration and produces same

    amount of total thrust. It is the total thrust divided by the burn out time.

    CENTER OF GRAVITY AND CENTER OF PRESSURE:

    Center of Gravity/Balancing point:

    The center of gravity is a geometric property of any object. The center of gravity is the average

    location of the weight of an object. We can completely describe the motion of any object through

    space in terms of the translation of the center of gravity of the object from one place to another and

    the rotation of the object about its center of gravity if it is free to rotate. If the object is confined to

    rotate about some other point, like a hinge, we can still describe its motion. In flight, both

    airplanes and rockets rotate about their centers of gravity

    The center of mass ormass center is the mean location of all the mass in a system. In the case of

    a rigid body, the position of the center of mass is fixed in relation to the body. In the case of a loose

    distribution of masses in free space, such as shot from a shotgun or the planets of the solar system,

    the position of the center of mass is a point in space among them that may not correspond to the

    position of any individual mass. The use of the mass center often allows the use of

    simplified equations of motion, and it is a convenient reference point for many other calculationsin physics, such as angular momentum or the moment of inertia. In many applications, such as orbita

    mechanics, objects can be replaced by masses located at their mass centers for the purposes of

    analysis.

    The term center of mass is often used interchangeably with center of gravity, but they are

    physically different concepts. They happen to coincide in a uniform gravitational field, but where

    gravity is not uniform center of gravity refers to the mean location of the gravitational force acting on

    a body. This results in small but measurable gravitational torque that must be accounted for in the

    operation of artificial satellites.

    The center of mass of a body does not generally coincide with its geometric center, and this property

    can be exploited. Engineers try to design a sports cars center of mass as low as possible to make

    the car handle better. When high jumpers perform a Fosbury Flop, they bend their body in such a

    way that it is possible for the jumper to clear the bar while his or her center of mass does not.

    The center of momentum frame is an inertial frame defined as the inertial frame in which the center of

    mass of a system is at rest. A specific center of momentum frame in which the center of mass is not

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    only at rest, but also at the origin of the coordinate system, is sometimes called the center of mass

    frame, or center of mass coordinate system.

    Center of Pressure:

    As an object moves through a fluid, the velocity of the fluid varies around the surface of the object

    The variation of velocity produces a variation of pressure on the surface of the object. Integrating the

    pressure times the surface area around the body determines the aerodynamic force on the object

    We can consider this single force to act through the average location of the pressure on the surface

    of the object. We call the average location of the pressure variation the center of pressure in the

    same way that we call the average location of the weight of an object the center of gravity. The

    aerodynamic force can then be resolved into two components, lift and drag, which act through the

    center of pressure in flight.

    Determining the center of pressure is very important for any flying object. To trim an airplane, or to

    provide stability for a model rocket or a kite, it is necessary to know the location of the center ofpressure of the entire aircraft.

    Calculation of cp:

    The figure shows a simplified version of the calculation procedure that you can use to calculate the cp

    of a model rocket. We assume that we already know the projected area and location, relative to some

    reference location, of each of the major parts of the rocket: the nose, body tube, and fins. The

    projected area A of the rocket is the sum of the projected area a of the components.

    A = a(nose) + a(tube) + a(fins)

    Since the center of pressure is an average location of the projected area, we can say that the area of

    the whole rocket times the location of the center of pressure cp is equal to the sum of the projected

    area of each component times the distance dof that component from the reference location.

    A * cp = [a * d](nose) + [a * d](tube) + [a * d](fins)

    The location of each component is the distance of each components center of pressure from the

    reference line. So you must calculate or determine the center of pressure of each of the components

    For example, the projected area of the body tube is a rectangle. The center of pressure is on the axis,

    half way between the end planes.

    Mechanically determining of Center of Gravity and Center of Pressure:

    For a model rocket, there is a simple mechanical way to determine the center of pressure for each

    component or for the entire rocket. Make a two dimensional tracing of the shape of the component, or

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    rocket, on a piece of cardboard and cut out the shape. Hang the cut out shape by a string, and

    determine the point at which it balances. This is just like balancing a pencil with a string! The point at

    which the component, or rocket, is balanced is the center of pressure. You obviously could not use

    this procedure for a very large rocket like the Space Shuttle. But it works quite well for a model.

    Relation between Center of Gravity and Center of Pressure:

    As a model rocket flies through the air, aerodynamic forces act on al

    parts of the rocket. In the same way that the weight of all the rocke

    components acts through the center of gravity(cg), the aerodynamic

    forces act through a single point called the center of pressure (cp).

    The relation between center of gravity and center of pressure plays a

    major role in the stability of the model rocket. Therefore it is said that

    the difference of the distance of center of gravity from the bottom of the model rocket to the distance of the

    center of pressure from the bottom of the rocket must be less than the diameter of the tube of the mode

    rocket.

    FACTORS AFFECTING THE FLIGHT OF A ROCKET:

    Thrust:

    It is the force which moves a rocket through the air. Thrust is used to overcome the drag of a rocket,

    and to overcome the weight of a rocket. Thrust is generated by the engines of the rocket throughsome kind of propulsion system.

    Thrust is a mechanical force, so the propulsion system must be in physical contact with a working

    fluid to produce thrust. Thrust is generated most often through the reaction of accelerating a mass of

    gas. Since thrust is a force, it is a vector quantity having both a magnitude and a direction. The

    engine does work on the gas and accelerates the gas to the rear of the engine; the thrust is

    generated in the opposite direction from the accelerated gas. The magnitude of the thrust depends

    on the amount of gas that is accelerated and on the difference in velocity of the gas through the

    engine.

    The physics involved in the generation of thrust is introduced in middle school and studied in some

    detail in high school and college. To accelerate the gas, we have to expend energy. The energy is

    generated as heat by the combustion of some fuel. The thrust equation describes how the

    acceleration of the gas produces a force. The type of propulsion system used on an aircraft may vary

    from airplane to airplane and each device produces thrust in a slightly different way.

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    It is a reaction force described quantitatively by Newtons second and third laws. When a system

    expels or accelerates mass in one direction the accelerated mass will cause a proportional but

    opposite force on that system.

    A rocket is propelled forward by a thrust force equal in magnitude, but opposite in direction, to the

    time-rate of momentum change of the exhaust gas accelerated from the combustion chamber through

    the rocket engine nozzle. This is the exhaust velocity with respect to the rocket, times the time-rate atwhich the mass is expelled, or in mathematical terms:

    T = (dm/dt)v

    where:

    T is the thrust generated (force)

    dm/dt is the rate of change of mass with respect to time (mass flow rate of exhaust);

    v is the speed of the exhaust gases measured relative to the rocket.

    For vertical launch of a rocket the initial thrust must be more than the weight.

    Thrust at zero speed is zero power. Power requires work to be done, so zero velocity indicates zero

    work and zero power. Therefore the power of a rocket or aircraft engine is thrust times forward speed.

    Power (watts) = thrust (newtons) x speed (metres/second)

    Gravitational Pull:

    The attraction that one object has for another object due to the invisible force of gravity. The mass ofan object affects its gravitational pull. In context of a rocket it is very important factor as the rocket has

    to move above in the space working against the gravitational pull of the earth and to make it to the

    space it has to overcome the gravitational pull of it.

    Air Friction/Resistance (Drag Force):

    Astrodynamic drag force is sometimes called air resistance orair friction refers to forces tha

    oppose the relative motion of an object through air. Drag forces act in a direction opposite to the

    oncoming moving velocity.

    Unlike other resistive forces such as dry friction, which is nearlyindependent of velocity, drag forces depend on velocity.

    For a solid object moving through air, the drag is the component of the net aerodynamic force acting

    opposite to the direction of the movement. The component perpendicular to this direction is

    considered lift. Therefore drag opposes the motion of the object, and in a powered vehicle it is

    overcome by thrust.

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    In astrodynamics, and depending on the situation, atmospheric drag can be regarded as an

    inefficiency requiring expense of additional energy during launch of the space object or as a bonus

    simplifying return from orbit.

    In order to reduce the drag force we have to make the consideration in designing the shape of the

    nose and fins of a rocket.

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    Wind:

    In order to maintain the stability of a rocket to move in the desired path it is best that not to make a

    launch of a rocket where the flow of wind is not favorable to us i.e. if the wind is blowing at very high

    speed then the launching of the rocket must not be done. It is also safe not to launch rocket when its

    cloudy and raining. The rocket must be launched in an open space i.e. ground for the security

    reasons.

    STABILITY:

    In order to fly a straight and predictable trajectory, A Model Rocket must be stable. Basic Rule of

    Stability

    A Model Rocket will be Stable if its center of Pressure is behind its center of gravity. Rockets Motion

    is a simultaneous combination of Translational and Rotational Motion.

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    S.NO. TRANSLATIONAL MOTION ROTATIONAL MOTION

    01. Always points same direction Always points different direction

    02. Three forces give us this motion

    Weight, Drag, Engines thrust

    One force gives this force Wind Force

    03. Act through center of gravity of Rocket Act perpendicular to the Rockets

    center line

    04. Gives how high & how Far away lands Gives Stability of the Model Rocket

    Stability depends on following factors:

    1. Static Margin Difference between Center of Pressure & Center of Gravity.

    2. Speed

    Determine whether the rocket is balance/stable or not:

    To determine this just tie the thread at the center of the gravity point determined by balancing thehanging model rocket through thread. Now try to swing the model rocket above your head and try to

    notice the direction of the movement of the model rocket that whether it is moving at which of the

    following conditions:

    a) with nose at the front

    b) fins at the front

    c) at some angle with nose pointing upwards

    d) at some angle with fins pointing upwards

    If the model rocket is moving in the pattern a and c then the model rocket is balance or else there is

    some error while the development of the model rocket.

    Before coming to the conclusion regarding the stability of the rocket try to repeat the swing test for at

    least 5 times and make a note of the pattern of the movement. For a stable rocket at least 4 out of 5

    times must satisfy the conditions of stability.

    Newtons Second Law of Motion:

    The change of momentum of a body is proportional to the impulse impressed on the body, andhappens along the straight line on which that impulse is impressed.

    Force = Mass * Acceleration

    2nd Law in simple terms:

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    The change is the direction of the acceleration is proportional to the force applied to the mass

    Basically, i see a ball rolling towards me. I push it really hard; it will roll away really fast. Or i can push

    it really lightly and it will roll away really slowly.

    Newton's Second Law provides a relationship between the unbalanced force on the object, the mass

    of the object and the acceleration that is produced: unbalanced force = mass x acceleration or F =

    ma.

    The unbalanced force F is measured in newtons (N), the mass m is measured in kilograms (kg) and

    acceleration a is measured in metres per second per second (m/s2).

    Newton's Second Law of Motion is concerned with the effect that unbalanced forces have on motion

    Unbalanced force acting on an object causes it to accelerate. There are two points to note about the

    acceleration of an object when an unbalanced force acts on it:

    The bigger the unbalanced force acting on the object the bigger the acceleration of the object. The

    more mass the object has the more inclined it is to resist any change in its motion. For example, if

    you apply the same unbalanced force to a mass of 1000 kg and a mass of 1 kg, the acceleration

    (change in motion) of the 1000 kg mass will be much less than that of the 1 kg mass.

    Newtons Third Law of Motion:

    For every action there is an equal and opposite re-action. What does this mean? This means that forevery force there is a reaction force that is equal in size, but opposite in direction. That is to say that

    whenever an object pushes another object it gets pushed back in the opposite direction equally hard.

    Let's study how a rocket works on Newton's Third Law.

    The rocket's action is to push down on the

    ground with the force of its powerfu

    engines, and the reaction is that the

    ground pushes the rocket upwards with an

    equal force.

    Three Equations of Motion:

    Rockets are propelled by the momentum reaction of the exhaust gases expelled from the tail. Since

    these gases arise from the reaction of the fuels carried in the rocket, the mass of the rocket is not

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    constant, but decreases as the fuel is expended. The equation of motion for a rocket projected

    vertically upward in a uniform gravitational field, neglecting atmospheric friction, is:

    Where ,

    m is the mass of the rocket and

    v is the velocity of the escaping gases relative to the rocket.

    The variable quantities in a uniformly accelerated rectilinear motion are time, speed, distance covered

    and acceleration. Simple relations exist between these quantities. These relations are expressed in

    terms of equations called equations of motion

    The equations of motion are:

    (1) v = u + at

    (3) v2 - u2 = 2aS

    Derivation of the First Equation of Motion

    Consider a particle moving along a straight line with uniform acceleration 'a'. At t = 0, let the particlebe at A and u be its initial velocity and when t = t, v be its final velocity.

    v = u + at I equation of motion

    Second Equation of Motion

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    From equations (1) and (2)

    The first equation of motion is v = u + at.

    Substituting the value of v in equation (3), we get

    Third Equation of Motion

    The first equation of motion is v = u + at.

    v - u = at ... (1)

    From equation (2) and equation (3) we get,

    Multiplying equation (1) and equation (4) we get,

    (v - u) (v + u) = 2aS

    [We make use of the identity a2 - b2 = (a + b) (a - b)]

    v2 - u2 = 2aS III equation of motion

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    DERIVATIONS OF EQUATIONS OF MOTION (GRAPHICALLY)

    First Equation of Motion

    Graphical Derivation of First Equation

    Consider an object moving with a uniform velocity u in a

    straight line. Let it be given a uniform acceleration a at time t =0 when its initial velocity is u. As a result of the acceleration,

    its velocity increases to v (final velocity) in time t and S is the

    distance covered by the object in time t.

    The figure shows the velocity-time graph of the motion of the

    object.

    Slope of the v - t graph gives the acceleration of the moving

    object.

    Thus, acceleration = slope = AB =

    v - u = at

    v = u + at I equation of motion

    Second Equation of Motion

    Let u be the initial velocity of an object and 'a' the acceleration produced in the body. The distance

    travelled S in time t is given by the area enclosed by the velocity-time graph for the time interval 0 to t

    Graphical Derivation of Second Equation

    Distance travelled S = area of the trapezium ABDO

    = area of rectangle ACDO + area of DABC

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    (v = u + at I eqn of motion; v - u = at)

    Third Equation of Motion

    Let 'u' be the initial velocity of an object and a be the acceleration produced in the body. The distance

    travelled 'S' in time 't' is given by the area enclosed by the v - t graph.

    Graphical Derivation of Third Equation

    S = area of the trapezium OABD.

    Substituting the value of t in equation (1) we get,

    2aS = (v + u) (v - u)

    (v + u)(v - u) = 2aS [using the identity a2 - b2 = (a+b) (a-b)]

    v2 - u2 = 2aS III Equation of Motion

    FUELS USED AS PROPELLANT

    Rocket propellant is mass that is stored in some form of propellant tank, prior to being used as the

    propulsive mass that is ejected from a rocket engine in the form of a fluid jet to produce thrust. A fuelpropellant is often burned with an oxidizer propellant to produce large volumes of very hot gas. These

    gases expand and push on a nozzle, which accelerates them until they rush out of the back of

    the rocket at extremely high speed, making thrust. Sometimes the propellant is not burned, but can

    be externally heated for more performance. For smaller attitude control thrusters, a compressed gas

    escapes the spacecraft through a propelling nozzle.

    Chemical rocket propellants are most commonly used, which undergo exothermic chemica

    reactions which produce hot gas which is used by a rocket for propulsive purposes.

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    Rockets create thrust by expelling mass backwards in a high speed jet (see Newton's Third Law).

    Chemical rockets, the subject of this article, create thrust by reacting propellants within a combustion

    chamber into a very hot gas at high pressure, which is then expanded and accelerated by passage

    through a nozzle at the rear of the rocket. The amount of the resulting forward force, known as thrust,

    that is produced is the mass flow rate of the propellants multiplied by their exhaust velocity (relative to

    the rocket), as specified by Newton's third law of motion. Thrust is therefore the equal and opposite

    reaction that moves the rocket, and not by interaction of the exhaust stream with air around the

    rocket. Equivalently, one can think of a rocket being accelerated upwards by the pressure of the

    combusting gases against the combustion chamber and nozzle. This operational principle stands in

    contrast to the commonly-held assumption that a rocket "pushes" against the air behind or below it.

    Rockets in fact perform better in outer space (where there is nothing behind or beneath them to push

    against), because there is a reduction in air pressure on the outside of the engine, and because it is

    possible to fit a longer nozzle without suffering from flow separation.

    The maximum velocity that a rocket can attain in the absence of any external forces is primarily a

    function of its mass ratio and its exhaust velocity. The relationship is described by the rocketequation: Vf= Veln(M0 / Mf). The mass ratio is just a way to express what proportion of the rocket is

    propellant (fuel/oxidizer combination) prior to engine ignition. Typically, a single-stage rocket might

    have a mass fraction of 90% propellant, 10% structure, and hence a mass ratio of 10:1 . The impulse

    delivered by the motor to the rocket vehicle per weight of fuel consumed is often reported as the

    rocket propellant's specific impulse. A propellant with a higher specific impulse is said to be more

    efficient because more thrust is produced while consuming a given amount of propellant.

    Lower stages will usually use high-density (low volume) propellants because of their lighter tankage

    to propellant weight ratios and because higher performance propellants require higher expansionratios for maximum performance than can be attained in atmosphere. Thus, the Apollo-Saturn V first

    stage used kerosene-liquid oxygen rather than the liquid hydrogen-liquid oxygen used on its upper

    stages Similarly, the Space Shuttle uses high-thrust, high-density solid rocket boosters for its lift-off

    with the liquid hydrogen-liquid oxygen SSMEs used partly for lift-off but primarily for orbital insertion.

    CHEMICAL PROPELLANTS

    There are three main types of propellants: solid, liquid, and hybrid.

    Solid propellants

    Solid propellants (and almost all rocket propellants) consist of an oxidizer and a fuel. In the case of

    gunpowder, the fuel is charcoal, the oxidizer is potassium nitrate, and sulfur serves as a catalyst.

    (Note: sulfur is not a true catalyst in gunpowder as it is consumed to a great extent into a variety of

    reaction products such as K2S. The sulfur acts mainly as a sensitizer lowering threshold of ignition.)

    During the 1950s and 60s researchers in the United States developed what is now the standard high-

    energy solid rocket fuel, Ammonium Perchlorate Composite Propellant (APCP). This mixture is

    primarily ammonium perchlorate powder (an oxidizer), combined with fine aluminum powder (a fuel)

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    held together in a base of PBAN or HTPB (rubber-like fuels). The mixture is formed as a liquid, and

    then cast into the correct shape and cured into a rubbery solid.

    Advantages

    Solid fueled rockets are much easier to store and handle than liquid fueled rockets, which makes

    them ideal for military applications. In the 1970s and 1980s the U.S. switched entirely to solid-fuelled

    ICBMs: the LGM-30 Minuteman and LG-118A Peacekeeper (MX). In the 1980s and 1990s, theUSSR/Russia also deployed solid-fuelled ICBMs (RT-23, RT-2PM, and RT-2UTTH), but retains two

    liquid-fuelled ICBMs (R-36 and UR-100N). All solid-fuelled ICBMs on both sides have three initial

    solid stages and a precision maneuverable liquid-fuelled bus used to fine tune the trajectory of the

    reentry vehicle.

    Their simplicity also makes solid rockets a good choice whenever large amounts of thrust are needed

    and cost is an issue. The Space Shuttle and many other orbital launch vehicles use solid fuelled

    rockets in their first stages (solid rocket boosters) for this reason.

    Disadvantages

    Relative to liquid fuel rockets, solid rockets have a number of disadvantages. Solid rockets have a

    lower specific impulse than liquid fueled rockets. It is also difficult to build a large mass ratio solid

    rocket because almost the entire rocket is the combustion chamber, and must be built to withstand

    the high combustion pressures. If a solid rocket is used to go all the way to orbit, the payload fraction

    is very small. (For example, the Orbital Sciences Pegasus rocket is an air-launched three-stage solid

    rocket orbital booster. Launch mass is 23,130 kg, low earth orbit payload is 443 kg, for a payload

    fraction of 1.9%. Compare to a Delta IV Medium, 249,500 kg, payload 8600 kg, payload fraction 3.4%

    without air-launch assistance.)A drawback to solid rockets is that they cannot be throttled in real time, although a predesigned thrus

    schedule can be created by altering the interior propellant geometry.

    Solid rockets can often be shut down before they run out of fuel. Essentially, the rocket is vented or

    an extinguishant injected so as to terminate the combustion process. In some cases termination

    destroys the rocket, and then this is typically only done by a Range Safety Officer if the rocket goes

    awry. The third stages of the Minuteman and MX rockets have precision shutdown ports which, when

    opened, reduce the chamber pressure so abruptly that the interior flame is blown out. This allows a

    more precise trajectory which improves targeting accuracy.

    Finally, casting very large single-grain rocket motors has proved to be a very tricky business. Defects

    in the grain can cause explosions during the burn, and these explosions can increase the burning

    propellant surface enough to cause a runaway pressure increase, until the case fails.

    Liquid propellants

    Current Types

    The most common liquid propellants in use today:

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    LOX and kerosene (RP-1). Used for the lower stages of most Russian and Chinese boosters, the

    first stages of the Saturn V and Atlas V, and all stages of the developmental Falcon 1and Falcon

    9. Very similar to Robert Goddard's first rocket. This combination is widely regarded as the most

    practical for boosters that lift off at ground level and therefore must operate at full atmospheric

    pressure.

    LOX and liquid hydrogen, used in the Space Shuttle orbiter, the Centaur upper stage of the Atlas

    V, Saturn V upper stages, the newer Delta IV rocket, the H-IIA rocket, and most stages of the

    European Ariane rockets.

    Nitrogen tetroxide (N2O4) and hydrazine (N2H4), MMH, or UDMH. Used in military, orbital and

    deep space rockets, because both liquids are storable for long periods at reasonable

    temperatures and pressures. N2O4/UDMH is the main fuel for the Proton rocket. This combination

    is hypergolic, making for attractively simple ignition sequences. The major inconvenience is that

    these propellants are highly toxic, hence they require careful handling.

    Monopropellants such as hydrogen peroxide, hydrazine and nitrous oxide are primarily used

    for attitude control and spacecraft station-keeping where their long-term storability, simplicity of

    use and ability to provide the tiny impulses needed, outweighs their lower specific impulse as

    compared to bipropellants. Hydrogen peroxide is also used to drive the turbopumps on the first

    stage of the Soyuz launch vehicle.

    Advantages

    Liquid fueled rockets have better specific impulse than solid rockets and are capable of being

    throttled, shut down, and restarted. Only the combustion chamber of a liquid fueled rocket needs to

    withstand combustion pressures and temperatures and they can be regeneratively cooled by the

    liquid propellant. On vehicles employing turbopumps, the propellant tanks are at very much less

    pressure than the combustion chamber, and thus can be built far more lightly than a solid propellant

    rocket case, permitting a higher mass ratio. For these reasons, most orbital launch vehicles use liquid

    propellants.

    The primary performance advantage of liquid propellants is due to the oxidizer. Several practical

    liquid oxidizers (liquid oxygen, nitrogen tetroxide, and hydrogen peroxide) are available which have

    much better specific impulse than the ammonium perchlorate used in most solid rockets, when paired

    with comparable fuels. These facts have led to the use of hybrid propellants: a storable oxidizer used

    with a solid fuel, which retain most virtues of both liquids (high ISP) and solids (simplicity).

    While liquid propellants are cheaper than solid propellants, for orbital launchers, the cost savings do

    not, and historically have not mattered; the cost of propellant is a very small portion of the overall cost

    of the rocket.

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    Disadvantages

    The main difficulties with liquid propellants are also with the oxidizers. These are generally at least

    moderately difficult to store and handle due to their high reactivity with common materials, may have

    extreme toxicity (nitric acids), moderately cryogenic (liquid oxygen), or both (liquid fluorine, FLOX- a

    fluorine/LOX mix). Several exotic oxidizers have been proposed: liquid ozone (O3), ClF3, and ClF5, al

    of which are unstable, energetic, and toxic.

    Liquid fuelled rockets also require potentially troublesome valves and seals and thermally stressed

    combustion chambers, which increase the cost of the rocket. Many employ specially designed

    turbopumps which raise the cost enormously due to difficult fluid flow patterns that exist within the

    casings.

    Gas propellants

    A gas propellant usually involves some sort of compressed gas. However, due to the low density and

    high weight of the pressure vessel, gases see little current use, but are sometimes used for vernier

    engines, particularly with inert propellants.

    GOX was used as one of the propellant for the Buran program for the orbital manoeuvring system.

    Hybrid propellants

    A hybrid rocket usually has a solid fuel and a liquid or gas oxidizer. The fluid oxidizer can make it

    possible to throttle and restart the motor just like a liquid fuelled rocket. Hybrid rockets are also

    cleaner than solid rockets because practical high-performance solid-phase oxidizers all contain

    chlorine, versus the more benign liquid oxygen or nitrous oxide used in hybrids. Because just one

    propellant is a fluid, hybrids are simpler than liquid rockets.

    Hybrid motors suffer two major drawbacks. The first, shared with solid rocket motors, is that the

    casing around the fuel grain must be built to withstand full combustion pressure and often extreme

    temperatures as well. However, modern composite structures handle this problem well, and when

    used with nitrous oxide and a solid rubber propellent ( HTPB ) , relatively small percentage of fuel is

    needed anyway, so the combustion chamber is not especially large.

    The primary remaining difficulty with hybrids is with mixing the propellants during the combustion

    process. In solid propellants, the oxidizer and fuel are mixed in a factory in carefully controlled

    conditions. Liquid propellants are generally mixed by the injector at the top of the combustion

    chamber, which directs many small swift-moving streams of fuel and oxidizer into one another. Liquid

    fuelled rocket injector design has been studied at great length and still resists reliable performance

    prediction. In a hybrid motor, the mixing happens at the melting or evaporating surface of the fuel.

    The mixing is not a well-controlled process and generally quite a lot of propellant is left unburned [3]

    which limits the efficiency and thus the exhaust velocity of the motor. Additionally, as the burn

    continues, the hole down the center of the grain (the 'port') widens and the mixture ratio tends to

    become more oxidiser rich.

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    There has been much less development of hybrid motors than solid and liquid motors. For military

    use, ease of handling and maintenance have driven the use of solid rockets. For orbital work, liquid

    fuels are more efficient than hybrids and most development has concentrated there. There has

    recently been an increase in hybrid motor development for nonmilitary suborbital work:

    The Reaction Research Society, although known primarily for their work with liquid rocket

    propulsion, has a long history of research and development with hybrid rocket propulsion.

    Several universities have recently experimented with hybrid rockets. Brigham Young University,

    the University of Utah and Utah State University launched a student-designed rocket called Unity

    IV in 1995 which burned the solid fuel hydroxy-terminated polybutadiene (HTPB) with an oxidizer

    of gaseous oxygen, and in 2003 launched a larger version which burned HTPB with nitrous

    oxide. Stanford University researches nitrous-oxide/paraffin hybrid motors.

    The Rochester Institute of Technology is currently creating a HTPB hybrid rocket to launch smal

    payloads into space and to several near Earth objects. Its first launch is scheduled for Summer2007.

    Scaled Composites SpaceShipOne, the first private manned spacecraft, is powered by a hybrid

    rocket burning HTPB with nitrous oxide. The hybrid rocket engine was manufactured

    by SpaceDev. SpaceDev partially based its motors on experimental data collected from the testing

    of AMROC's (American Rocket Company) motors at NASA's Stennis Space Center's E1 test

    stand. Motors ranging from as small as 1000 lbf (4.4 kN) to as large as 250,000 lbf (1.1 MN) thrust

    were successfully tested. SpaceDev purchased AMROCs assets after the company was shut

    down for lack of funding.

    Inert propellants

    Some rocket designs have their propellants obtain their energy from non chemical or even external

    sources. For example water rockets use the compressed gas, typically air, to force the water out of

    the rocket.

    Solar thermal rockets and Nuclear thermal rockets typically propose to use liquid hydrogen for

    an Isp(Specific Impulse) of around 600-900 seconds, or in some cases water that is exhausted as

    steam for an Isp of about 190 seconds.Additionally for low performance requirements such as attitude jets, inert gases such as nitrogen have

    been employed.

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    Determining the Height of an object in free space using Trigonometry and Geometry:

    The height of an object in the free space can be determined using two methods one is the

    Trigonometric and another is the Geometry with the help of the tracking instrument.

    Trigonometric method:

    Just stand at the distance of 100m apart from the launching point of the model rocket. The tracking

    team must be ready with their tracking instrument which has protector attached with it to make the

    record of the angle. As soon as the model rocket is launched the tracking team must move their

    hands in line of the height attained by the rocket. The angle recorded in the tracking instrument must

    be kept in the equation:

    tan = Pependicular /Base

    where

    = the angle recorded in the tracking instrument

    Base = 100m

    Perpendicular = the height of the object from the groundMake sure that the model rocket launched was whether stable or unstable at the time of flight

    because we have to take the record of the model rockets which goes straight in the sky.

    Geometric Method:

    This method is more accurate then the Trigonometric method but requires 4 teams i.e. 2 tracking

    teams and 2 recording teams. In this method the two tracking teams takes their position 100m apart

    from the launching point lying diagonal with

    each other and the other two corners are

    taken by the recording team which make

    sure that the model rocket launched was

    whether stable or unstable at the time of

    flight. This method is based on the theory of

    similar triangles. Just scale the 100m+100m

    distances apart on the graph paper taking

    launching point as the center on the paper

    The angle recorded by the tracking teams of

    the maximum height attained by the rocket isthen plotted on the graph paper on the either

    sides and is extended. The point at which the

    two lines intersect is the required point. The

    length the perpendicular dropped from the

    point to the base is the height attained by the

    model rocket as shown in the figure.

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    Biological Effects on the body of the Astronauts:

    Due to the absent of the gravitational pull in the space it is found that there is increase in the height of

    the body of Astronauts present in the space up to 4-6 inches in size. In order to incorporate this

    serious threat they are suppose to do the exercises in the space shuttle.

    Technological aspect of COUNTDOWN:

    The fact is that each and every major and minor components installed in the rocket are assigned

    some numbers ranging from 1 to total number of components like 1,2,3,4,5,274 and while

    countdown every component is tested and checked and in case if found that any of the component is

    not functioning in the desired manner then the launch is stopped at once and is postpone for some

    time till the problem is sort out. When the countdown reaches 1 successfully then finally the launch

    takes place.

    Difference between the Model Rocket and the Real Rocket:

    S.NO. MODEL ROCKET REAL ROCKET01. 4 forces throughout flight 4 forces during atmospheric flight

    02. All of flight in atmosphere Short time in atmosphere

    03. Aerodynamics very important Aerodynamics less important

    04. Very short powered flight Long powered flight

    05. Solid rocket engine Liquid or solid rocket engine

    06. No control Active control

    07. Low speed High speed

    08. Inexpensive materials Expensive materials

    09. Card sheet and paper Aluminum, titanium, nickel alloy

    Difference between the Rocket and the Aircraft:

    S.NO. AIRCRAFT ROCKET

    01. Designed and developed to fly in

    atmosphere

    Designed and developed to fly in

    space.

    02. All of flight in atmosphere Short time in atmosphere

    03. Aerodynamics very important Aerodynamics less important

    04. Liquid fuel engine Liquid or solid rocket engine