a child is twirling a 0.0120 kg ball on a string in ahorizontal circle whose rad

Question

a child is twirling a 0.0120 kg ball on a string in ahorizontal circle whose radius is 0.100 m. the ball travels oncearound the circle in 0.500 s. a). determine the centripetal force acting on the ball. b). if the speed is doubled, does the centripetal forcedouble? if not, by what factor does the centripetal forceincrease? a child is twirling a 0.0120 kg ball on a string in ahorizontal circle whose radius is 0.100 m. the ball travels oncearound the circle in 0.500 s. a). determine the centripetal force acting on the ball. b). if the speed is doubled, does the centripetal forcedouble? if not, by what factor does the centripetal forceincrease?

Explanation / Answer

Since the radius and the time for one revolution is given, wecan first find the speed, v, by using: v = circumference of circle / time for1 revol     =    2 r   /  t   .   Since r and t are given, you cancalculate v. then,   centripetal force   = mv2 / r ,   where m, v, and r are known, so thecentripetal force can be calculated. PART B>>>    Fc isdirectly proportional to the SQUARE of v. so, if v is doubled, then Fc will bequadrupled,   ie , four times larger.

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