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 Page 2


Centripetal 
forces keep 
these children 
moving in a 
circular path.
Page 3


Centripetal 
forces keep 
these children 
moving in a 
circular path.
Objectives: After completing this 
module, you should be able to:
• Apply your knowledge of centripetal 
acceleration and centripetal force to the 
solution of problems in circular motion.
• Define and apply concepts of frequency and 
period, and relate them to linear speed.
• Solve problems involving banking angles, the 
conical pendulum, and the vertical circle.
Page 4


Centripetal 
forces keep 
these children 
moving in a 
circular path.
Objectives: After completing this 
module, you should be able to:
• Apply your knowledge of centripetal 
acceleration and centripetal force to the 
solution of problems in circular motion.
• Define and apply concepts of frequency and 
period, and relate them to linear speed.
• Solve problems involving banking angles, the 
conical pendulum, and the vertical circle.
Uniform Circular Motion
Uniform circular motion is motion along a 
circular path in which there is no change in 
speed, only a change in direction.
Constant force 
toward center. 
Constant velocity 
tangent to path.
v
F
c
Question: Is there an outward force on the ball?
Page 5


Centripetal 
forces keep 
these children 
moving in a 
circular path.
Objectives: After completing this 
module, you should be able to:
• Apply your knowledge of centripetal 
acceleration and centripetal force to the 
solution of problems in circular motion.
• Define and apply concepts of frequency and 
period, and relate them to linear speed.
• Solve problems involving banking angles, the 
conical pendulum, and the vertical circle.
Uniform Circular Motion
Uniform circular motion is motion along a 
circular path in which there is no change in 
speed, only a change in direction.
Constant force 
toward center. 
Constant velocity 
tangent to path.
v
F
c
Question: Is there an outward force on the ball?
Uniform Circular Motion (Cont.)
The question of an outward force can be 
resolved by asking what happens when the 
string breaks! 
When central force is removed, 
ball continues in straight line.
v
Ball moves tangent to 
path, NOT outward as 
might be expected.
Centripetal force is needed to change direction.
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