Uniform circular motion (UCM) describes the motion of an object that moves at a constant speed along a circular path. While the object's speed remains constant, its direction of motion continuously changes. For UCM to occur, the net force on the object must be directed toward the center of the circle and be large enough to cause centripetal acceleration, which changes the direction of motion but not the speed. Key formulas define centripetal force, speed, and acceleration for objects in UCM.

1. Uniform Circular Motion

3. Uniform= SAME Circular= ALONG A CIRCULAR PATH

4. Conditions Describing UCM Speed IS EQUAL to the Constant Velocity IS NOT EQUAL to the Constant This is because the direction is changing. = THE CONSTANT!

6. During UCM the sum of all the forces acting on the object (Fnet does not equal zero) and the object is accelerating.

7. Incase of UCM the vectors for acceleration and force point towards the center .

8. Formulas Describing UCM

9. Centripetal Force Fc= Centripetal force m= mass ac= centripetal acceleration Centripetal force is any force (or combination of forces) that makes an object move in UCM

10. Speed Formula IS EQUAL TO Distance= Time= T

11. Radius of the circle (r) and time (t) it takes to complete a full circle are known. This time is called period of rotation (T). V= speed of UCM r= radius T= period of rotation

12. Centripetal Acceleration = centripetal acceleration v = speed r = radius