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Lesson_5.3_Homework - Lesson 5.3 Homework 1 A transverse...

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Lesson 5.3 Homework 1. A transverse wave pulse on a string is represented by the wave function 3 2 2 0.125 ( , ) 1.8 ( 5 ) m y x t m x t = + - (i) What is the velocity of the pulse? (ii) Plot the wave function for t = 0, 1 and 2 s using the same axes (iii) What is the amplitude of the wave? (iv) Repeat (i), (ii) and (iii) above for 3 2 2 0.125 ( , ) 1.8 ( 5 ) m y x t m x t = + + 2. One end of a stretched string is moved up and down 5 times a second so that wave pulses move along the rope with a speed of 10 ms -1 in the positive x-direction. If the maximum displacement of the string is 10 cm, write down a wave equation to represent the propagation of these pulses along the rope. 3. A transverse wave on a string is described by the wave function y(x,t) = 0.3 sin(12.57x – 251t). Find (i) the amplitude of the wave? (ii) the wave number k (iii) the wavelength (iv) the angular frequency (v) the frequency and the period of the wave (vi) the velocity of the wave (vii) the displacement of the wave at x = 3.0 m at t = 2.0 s.
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