# Physics

A child is twirling a 0.0120-kg plastic ball on a string in a horizontal circle whose radius is 0.100 m. The ball travels once around the circle in 0.500 s.
(a)
Determine the centripetal force acting on the ball.
(b)
If the speed is doubled, does the centripetal force double? If not, by what factor does the centripetal force increase?

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1. omega = radians/s = 2 pi/.5 = 4 pi

Ac = omega^2 R = (4 pi)^2 * .1

F = m Ac = .012 (4 pi)^2 (.1)

increases as omega^2 so 2^2 = 4 times

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