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I need some explanation for how to do these first, I\'m very confused. Please do

ID: 2093811 • Letter: I

Question

I need some explanation for how to do these first, I'm very confused. Please don't just give an answer or numbers. Be very detailed please.



1. It is noon. All three hands of your watch are in the 12 o'clock position. After how many seconds will the second hand for the first time be again in the same position as the minute hand?(Note that unlike with the previous "catching up" problems for linear motion, the total "distance" moved in radians will never be the same. What is the requirement for the difference in angular displacements, such that they end up in the same position on the dial of the watch?)



2.






3. A solid sphere rolls on a level surface at a speed of 1.89 m/s. What is the ratio of its rotational kinetic energy to its translational kinetic energy.


Is it 2/5? or does the number matter? i tried 5/2 and it was not correct.

Explanation / Answer

For the second hand, ws = (?/30) rad/sec For the minute hand, wm = (?/1800) rad/sec The angle for the second hand to catch the minute hand: (?/1800)*t = (?/30)*t - 2? Solving for t, t = 61.017 sec