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# sinusoidal transverse wave travels on a string. The string ISBN: 9780321675460 31

## Solution for problem 69P Chapter 15

University Physics | 13th Edition

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Problem 69P

sinusoidal transverse wave travels on a string. The string has length 8.00 m and mass 6.00 g. The wave speed is 30.0 m/s, and the wavelength is 0.200 m. (a) If the wave is to have an average power of 50.0 W, what must be the amplitude of the wave? (b) For this same string, if the amplitude and wavelength are the same as in part (a), what is the average power for the wave if the tension is increased such that the wave speed is doubled?

Step-by-Step Solution:

Solution 69P Problem (a) Step 1: Length of the string L = 8.00 m -3 Mass of the string m = 6.00 g or 6.00 x 10 Kg Wave speed v = 30.0 m/s Wavelength = 0.200 m P av = 50.0 W Step 2: To find the Amplitude (A) of the wave Expression for average power 1 2 P av= 2F A ----(1) Where F - tension in the string, - angular frequency of the wave Wave speed v = F ----(2) Mass per unit length of the string () = L -----(3) Angular frequency = 2 -----(4) Step 3: From equation (1) A = 2P av-----(5) F From equation (2) F = (v) -----(6) Step 4: Equation (5)...

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##### ISBN: 9780321675460

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