What should you do to the length of the string of a simple pendulum to (a) double its frequency; (b) double its period; (c) double its angular frequency?
Solution 12DQ Introduction We have to discuss how to change the length of a simple pendulum to achieve the given condition. Step 1 (a) The frequency of a simple pendulum is given by f = 2 L Hence we can see that the frequency is inversely proportional to the square root of the length of the pendulum. Hence to double the frequency we have to decrease the length by four times. Step 2 (b) The period of oscillation of simple pendulum is given by T = 2 L g So the period is directly proportional to the square root of the the length of the pendulum. Hence to double the period, we have to increase the length by four times.
Textbook: University Physics
Author: Hugh D. Young, Roger A. Freedman
This full solution covers the following key subjects: Double, its, frequency, Pendulum, length. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 12DQ from 14 chapter was answered, more than 404 students have viewed the full step-by-step answer. The answer to “What should you do to the length of the string of a simple pendulum to (a) double its frequency; (b) double its period; (c) double its angular frequency?” is broken down into a number of easy to follow steps, and 28 words. The full step-by-step solution to problem: 12DQ from chapter: 14 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. 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.