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assign92k6 - Physics 153 Assignment 9 Due Friday by 5:30pm...

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Physics 153 Assignment 9 Due Friday November 24, 2006 by 5:30pm 1. Power is to be transmitted along a stretched wire by means of transverse harmonic waves. The wave speed is 10 m/s , and the linear mass density os 0 . 01 kg/m . The power source oscillates with an amplitude of 0 . 50 mm . (a) What average power is transmitted if the frequency is 400 Hz ? The power can increased by changing the tension, the frequency or the amplitude. (b) How would each of these quantities have to be changed to increase the power by a factor of 100, if only one quantity is changed? (c) Which of these quantities would be easiest to change? 2. A standing wave is given by: y ( x, t ) = 0 . 02 sin( π 2 x ) cos(40 πt ), where x and y are in meters and t is in seconds. (a) Write wave functions for the traveling waves that superimpose to the given standing wave. (b) What is the distance between the nodes of the standing wave. What is (c) the velocity and (d) the acceleration of a rope segment at x = 1 m ?
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