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# A certain alarm clock ticks four times each second, with ISBN: 9780321675460 31

## Solution for problem 41E Chapter 14

University Physics | 13th Edition

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Problem 41E

A certain alarm clock ticks four times each second, with each tick representing half a period. The balance wheel consists of a thin rim with radius 0.55 cm, connected to the balance shaft by thin spokes of negligible mass. The total mass of the balance wheel is 0.90 g. (a) What is the moment of inertia of the balance wheel about its shaft? (b) What is the torsion constant of the coil spring (Fig. 14.19)?

Step-by-Step Solution:

Solution 41E The number of ticks per second tells us the time period(T) and therefore the frequency. 2 We can use the formulae I= MR (thin rim) to find the moment of inertia(I) of the balance wheel about its shaft . Then equation T=2 I allows us to calculate the torsion constant . Step 1 of 2: Ticks four times each second implies 0.25 s per tick. Each tick is half a period, so T = 0.50s and f =1/T = 1/0.5= 2 Hz 2 3 2 2 8 2 Thin rim implies I=MR =(0.90× 10 ) × (0.55 × 10 ) = 2.7× 10 kg m

Step 2 of 2

##### ISBN: 9780321675460

This full solution covers the following key subjects: balance, wheel, thin, shaft, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 41E from 14 chapter was answered, more than 294 students have viewed the full step-by-step answer. The answer to “A certain alarm clock ticks four times each second, with each tick representing half a period. The balance wheel consists of a thin rim with radius 0.55 cm, connected to the balance shaft by thin spokes of negligible mass. The total mass of the balance wheel is 0.90 g. (a) What is the moment of inertia of the balance wheel about its shaft? (b) What is the torsion constant of the coil spring (Fig. 14.19)?” is broken down into a number of easy to follow steps, and 75 words. The full step-by-step solution to problem: 41E from chapter: 14 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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A certain alarm clock ticks four times each second, with