Homework 1

# Homework 1 - Michael Yagudayev 106180606 ESE 319 Homework...

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Michael Yagudayev 106180606 ESE 319 Homework #1 1.1 – A 4-kHz sound wave traveling in the x -direction in air was observed to have a differential pressure p ( x , t ) = 5 N/m 2 at x = 0 and t = 25 μ s. If the reference phase of p ( x , t ) is 42°, find a complete expression for p ( x , t ). The velocity of sound in air is 330 m/s. 1.4 – Two waves, y 1 ( t ) and y 2 ( t ), have identical amplitudes and oscillate at the same frequency, but y 2 ( t ) leads y 1 y ( t ) by a phase angle of 60°. If 1 ( t ) = 4cos(2 π × 10 3 write the expression appropriate for y t ) 2 y ( t ) and plot both functions over the time span from 0 to 2ms. 2 ( t ) = 4cos(2 π × 10 3 t + (π /3)) 1.7 – Two waves on a string are given by the following functions: y 1 y ( x , t ) = 3cos(20 t – 30 x ) (cm) 2 where x is in centimeters. The waves are said to interfere constructively when their superposition | y ( x , t ) = -3cos(20 t + 30 x ) (cm) s | = | y 1 + y 2 | is a maximum, and they interfere destructively when

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## This note was uploaded on 02/24/2010 for the course ESE 319 taught by Professor Dhadwal during the Fall '08 term at SUNY Stony Brook.

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Homework 1 - Michael Yagudayev 106180606 ESE 319 Homework...

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