A Derived Quantity is a Physics Quantity That is Not a Base Quantity

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A derived quantity is a Physics quantity that is not a base quantity. It is the quantities which

derived from the base quantities through multiplying and/or dividing them.

Example

(S peed is derived from

dividing distance by time.)

Derived Unit The derived unit is a combination of base units through multiplying and/or dividing them.

Example 1

Find the derived unit of density.

Answer



Unit Conversion

Area and Volume

Example 2

C onvert the unit of length, area and volume below to the units given.

a) 7.2 m = ____________cm

b) 0.32 m2

= ____________cm2

c) 0.0012 m3

= ____________cm3

d) 5.6 cm = ____________m

e) 350 cm2 = ____________m2

f) 45000 cm3

= ____________m3

Answer

a) 7.2 m = 7.2 x 102 cm

b) 0.32 m2

= 0.32 x 104

cm2

= 3.2 x 103

cm2

c) 0.0012 m3

= 0.0012 x 106

cm3

= 1.2 x 103

cm3

d) 5.6 cm = 5.6 x 10-2

m

e) 350 cm2 = 350 x 10-4 m2 = 3.5 x 10-2 m2



f) 45000 cm3

= 45000 x 10-6

m3

= 4.5 x 10-2

m3

Speed

Example 3

C omplete the following unit conversion

a) 12 kmh-1

= __________ ms-1

b) 12 ms-1 = __________ kmh-1

Answer

a){\rm{ 12kmh}}^{{\rm{ - 1}}} {\rm{ = }}{{{\rm{12km}}} \over {{\rm{1h}}}}{\rm{ =

}}{{{\rm{12,000m}}} \over {{\rm{60 \times 60s}}}}{\rm{ = }}{{{\rm{10}}} \over

{\rm{3}}}{\rm{ms}}^{{\rm{ - 1}}}

b){\rm{ 12ms}}^{{\rm{ - 1}}} {\rm{ = }}{{{\rm{12m}}} \over {{\rm{1s}}}}{\rm{ = }}{{{{{\rm{12}}}

\over {{\rm{1000}}}}{\rm{km}}} \over {{{\rm{1}} \over {{\rm{60 \times 60}}}}{\rm{h}}}}{\rm{ =

43}}{\rm{.2kmh}}^{{\rm{ - 1}}}

Prefixes are the preceding factor used to represent very small and very large physical

quantities in SI units.

Conversion of prefixes

Prefixes to Normal Number Example 1

The frequency of the radio wave is 350M Hz. What is the frequency of the radio wave

in Hz?

Answ er

Mega (M) = 1,000,000 or 10 6

Therefore,

350MHz = 250 x 106Hz



Example 1

ategorize each quantity elo as eing either a vector or a scalar.

Speed, velocity, acceleration, distance, displacement, energy, electrical charge,

density, volume, length, momentum, time, temperature, force, mass, po er, ork,

impulse.

Answer:

Scalar Quantities:

y speed

y distance

y energy

y electrical charge

y density

y volume

y length

y time

y temperature

y mass

y po er

y ork

Vector Quantities

y velocity

y acceleration

y displacement

y momentum

y force

y impulse

A Derived Quantity is a Physics Quantity That is Not a Base Quantity

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