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Find the magnitude of the angular momentum of the second

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 39E Chapter 10

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 39E

Find the magnitude of the angular momentum of the second hand on a clock about an axis through the center of the clock face. The clock hand has a length of 15.0 cm and a mass of 6.00 g. Take the second hand to be a slender rod rotating with constant angular velocity about one end.

Step-by-Step Solution:
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Solution 39E Mathematically, the equation for angular momentum is given by L = I , where I is the moment of inertia of the second hand and is the angular velocity of the hand. Now, the hand is a rod rotating with constant angular velocity about one end. Therefore, 2 its moment of inertia is I = ML3 , where M is the mass of the hand and L is its length. Given, M = 6.00 g = 6.00 × 10 3kg = 0.006 kg L = 15.0 cm = 0.15 m 2 2 The moment of inertia of the hand is I = 0.006 kg×(0.15) m= 4.5 × 10 5kg.m 2 3 The second hand takes 60 s to make one complete revolution, therefore its angular speed is, = 2/T = 2 × 3.14/60 rad/s = 0.104 rad/s Now, substituting the values if I and in L = I , we get Angular momentum L = 4.5 × 10 5kg.m × 0.104 rad/s = 0.468 × 10 5 kg.m /s 6 2 L = 4.68 × 10 kg.m/s This is the required value of angular momentum of the second hand.

Step 2 of 3

Chapter 10, Problem 39E is Solved
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Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

University Physics was written by and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: clock, hand, angular, length, constant. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The answer to “Find the magnitude of the angular momentum of the second hand on a clock about an axis through the center of the clock face. The clock hand has a length of 15.0 cm and a mass of 6.00 g. Take the second hand to be a slender rod rotating with constant angular velocity about one end.” is broken down into a number of easy to follow steps, and 56 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. Since the solution to 39E from 10 chapter was answered, more than 548 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 39E from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM.

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