While lifeguarding, Jenny is twirling a whistle in uniform circularmotion next t

Question

While lifeguarding, Jenny is twirling a whistle in uniform circularmotion next to

herself (the whistle is moving in a vertical plane). The radius ofthe circular path is 55cm.

Thecord slips from her hands and the whistle moves off tangentially,with the initial

velocity of the whistle making an angle of 30º with thehorizontal direction. The whistle

lands a horizontal distance of 15m away from where it slipped(assume it returned to the

same height from which it left uniform circular motion). What wasthe period of the

whistle while in uniform circular motion?

Explanation / Answer

let the initial velocity of he whistle be u and is given to be at an angle of 30 degrees above horizontal hence the range is given by u2sin 60/9.8=15 u=13m/sec   hence 2r/u =period=0.265sec

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