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## Uniform Circular Motion

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### Uniform Circular Motion

If you twirl a ball held by an unstretchable string, the ball moves in a circle (with your body as the center).

If you keep rotating the string at a constant rate, the velocity of the ball will have a constant magnitude (speed) but a variable direction (instantaneous tangent to the circular path). Acceleration $\underset{}{\rightarrow}$ is not zero.
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### Re: Uniform Circular Motion

Centripetal accleration
$a_c = \frac{v^2}{r}$
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### Re: Uniform Circular Motion

Centripetal Force
Magnitude: The centripetal force is the name given to the net force required to keep an object of mass m, moving at a speed v, on a circular path of radius r, and it has a magnitude of
-image removed-
Direction: The centripetal force always points toward the center of the circle and continually changes direction as the object moves.
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