Circular Motion and Force

Questions and Answers

deg/s

m/s

rad/s (correct)

The distance traveled in one rotation

The speed of an object in circular motion

The acceleration of an object in a straight line

The duration for one full rotation (correct)

Friction alone

Any force directed toward the center of the circle (correct)

Gravity only

Only the tension in a string

Centripetal acceleration does not change an object's speed Signup and view all the answers

Friction Signup and view all the answers

The tension in the string becomes zero. Signup and view all the answers

When the particle is moving along the outside of the loop. Signup and view all the answers

The normal force from the loop. Signup and view all the answers

When the particle's speed becomes zero. Signup and view all the answers

It indicates when the particle loses contact with the loop. Signup and view all the answers

Study Notes

Angular velocity is the rate of change in angle with respect to time, measured in radians per second (rad/s) and represented by the symbol ω.

Periodic time is the time taken for one full revolution to occur, measured in seconds (s) and represented by the symbol T.

Centripetal acceleration is the force responsible for keeping an object moving in a circular path, constantly changing direction.
Centripetal force is directed towards the center of the circle and is the source of centripetal acceleration.
Possible sources of centripetal force include:
- Tension
- Weight
- Reaction force
- Friction

String tension is continuously changing.
If tension reaches 0, the string is said to have gone slack.
A particle reaching the top of a string will cause it to go slack at that point if it only just reaches the top.

A particle moving on a loop experiences a reaction force with the surface.
To find when a particle falls off a loop, determine when the reaction force becomes zero.
The reaction force (R) acts opposite to the centripetal force when a particle moves on a loop.
The reaction force (R) provides the centripetal force when a particle moves inside a loop.
Another method to determine when a particle loses contact with the inside of a loop is to find when its speed becomes zero.