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# A certain transverse wave is described by Determine the

ISBN: 9780321675460 31

## Solution for problem 8E Chapter 15

University Physics | 13th Edition

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Problem 8E

A certain transverse wave is described by Determine the wave’s (a) amplitude; (b) wavelength; (c) frequency; (d) speed of propagation; (e) direction of propagation.

Step-by-Step Solution:

Solution 8E Step 1: The amplitude of the wave is given by A = 6.50 mm Step 2 : The wavenumber of the wave is k = 28.0 cm = 0.28 m We can find the wavelength using = 2/k Substitute for k We get = 2/ 28 cm 3 = 0.224 cm = 2.2 × 10 m 3 Hence we have the wavelength of the wave as 2.2 × 10 m Step 3 : Angular velocity of the wave is given by t = 0.0360 s The frequency is given by f = 1/t Substituting values we get f = 1/0.0360 f = 27.8 Hz Hence the frequency of the wave is 27.8 Hz

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