Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path...

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Notes from 12/9 Kathia

Transcript of Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path...

Page 1: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Notes from 12/9Kathia

Page 2: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

• ac: the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

• Centripetal acceleration is always directed toward the center of a circle.

Centripetal Acceleration

CENTRIPETAL ACCELERATION

ac vt

2

r

centripetal acceleration = (tangential speed)2

radius of circular path

Given in Eqtn sheet

Page 3: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Calculating Centripetal Acceleration

• Calculating Centripetal Acceleration

Page 4: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Example1

• A 1.5kg ball moves in a circle that is 3m in radius at a speed of 9.8m/s. Calculate its centripetal acceleration.

Page 5: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Example2

• What is the Centripetal acceleration of a person standing at the Earth's equator (r = 6.38x106m)?

Page 6: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Calculating Tangential Speed

Page 7: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Example3

• A physics student riding in a sports car noticed the fuzzy dice in his friend’s car to make a 45 degree angle with the vertical. Find the tangential speed of the car if the car is making a turn on a road that follows a curve with a 50m radius.

Page 8: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Calculating Radius of uniform circular motion.

Page 9: Notes from 12/9 Kathia. a c : the acceleration of an object moving in a uniform circular path (constant speed / radius) is due to a change in direction.

Example4

• A quarter placed on a turntable has a centripetal acceleration of 2.0m/s/s and a tangential speed of 0.57m/s. How far is the quarter from the center of the turntable?


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