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We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude...

We consider transverse waves on a string that have a wave speed of 8.00 m/s, amplitude 0.0700 m, and wavelength 0.320 m. The waves travel in the -x-direction, and at t=0 the x=0 end of the string has its maximum upward displacement. Find the transverse displacement of a particle at x=0.360 m at time t =0.150 s. Give your answer in centimeters.

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Answer #1

Wave number, k = 2 pi/0.32 = 19.63 rad/m

Angular Frequency, f = 2 pi (8/0.32) = 157.1 rad/s

Displacement = 0.07 cos(19.63 x 0.36 + 157.1 x 0.15) = 0.05 m = 5 cm

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