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Get Full Access to University Physics - 13 Edition - Chapter 14 - Problem 45e
Get Full Access to University Physics - 13 Edition - Chapter 14 - Problem 45e

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# You pull a simple pendulum 0.240 m long to the side

ISBN: 9780321675460 31

## Solution for problem 45E Chapter 14

University Physics | 13th Edition

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University Physics | 13th Edition

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Problem 45E

You pull a simple pendulum 0.240 m long to the side through an angle of 3.50o and release it. (a) How much time does it take the pendulum bob to reach its highest speed? (b) How much time does it take if the pendulum is released at an angle of 1.75o instead of 3.50o?

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Solution 45E The time period of a simple pendulum is given by = 2 g …..(1) Given, L = 0.240 m We know, g = 9.8 m/s 2 Substituting these values in equation (1), we get T = 2 09.80s T = 0.98 s (a) Now, the pendulum will have the highest speed when it is passing the equilibrium position. When the period is T. the pendulum will pass through the equilibrium at time T/4. Therefore, the time taken by the pendulum to reach its highest speed position is = T/4 = 0.98/4 s = 0.245 s 0.25 s (b) From equation (1), we find that the period of oscillation of the pendulum does not depend on the angle of release. So, even if the release angle is less in the second case, the pendulum will take approximate 0.25 s to reach the position of highest speed.

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##### ISBN: 9780321675460

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. The full step-by-step solution to problem: 45E from chapter: 14 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: Pendulum, much, angle, take, its. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 45E from 14 chapter was answered, more than 457 students have viewed the full step-by-step answer. The answer to “You pull a simple pendulum 0.240 m long to the side through an angle of 3.50o and release it. (a) How much time does it take the pendulum bob to reach its highest speed? (b) How much time does it take if the pendulum is released at an angle of 1.75o instead of 3.50o?” is broken down into a number of easy to follow steps, and 54 words.

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