# ps11b29 - Ph 111.01 November 12, 2008 PS 11b (29) Problem...

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Ph 111.01 November 12, 2008 PS 11b (29) Problem 1. A hand holding a rope moves up and down to create a transverse wave on the rope. The hand completes an oscillation in 2 s, and the wave travels along the string at 0.5 m/s. The amplitude of the wave is 0.09 m. a.) Find the frequency at which the crests pass a given point in space. Hz b.) Find the distance between two adjacent crests on the wave. m c.) There is a blue spot drawn onto the rope with a magic marker. Find the distance this spot travels in one period. m d.) If the mass per unit length of the string is 5 ·10 -4 kg/m, what is the tension in the string? N Solution. The equation for a transverse wave on a string is the "harmonic wave function," () 22 ,c o s yxt A x t T π λ ⎛⎞ =− ⎜⎟ ⎝⎠ . (a) We are given the period T, from which we can calculate the frequency f: 11 0.5 Hz 2 s f T == = (b) This is the wavelength , which we can calculate from the frequency and the wave velocity v: ( ) 0.5 m/s 1.0 m 0.5 Hz v f = (c) This has to do with the amplitude, given as A = 0.09 m. During one period, the spot

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## This note was uploaded on 05/13/2010 for the course PHYSICS 111 taught by Professor Staff during the Fall '08 term at S.F. State.

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ps11b29 - Ph 111.01 November 12, 2008 PS 11b (29) Problem...

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