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10 Nov 2019

This is problem #10 in the book College Physics 8th ed by Youngand Geller. The textbook solution given on Cramster is incorrect.The question is as follows:

A wall clock on Planet X has two hands that are aligned at midnightand turn in the same direction at uniform rates, one at4.34×10-2 and the other at 1.51×10-2 . At howmany seconds after midnight are these hands first aligned and nextaligned?

Part A: tFirst=____________s

Part B: tSecond=___________s

I know that the "uniform rate" of each hand is their ω. What Itried to do to solve the problem was to simply add .0434rad forevery passing second and .0151rad for the same time. For examplethe table I made is:

Time passing(s) locationof big hand (.0434rad/s) location of small hand (0151 rad/s)

1s .0434 .0151

2s .0868 .0302

3s .1302 .0453

.........etc.

I did this same thing all the way through 60 seconds and thehands never lined up at the same location. This was a very tediousprocess and I still didn't get the answer. Please help. Thanks.

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Casey Durgan
Casey DurganLv2
25 Jan 2019

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