Mastering Physics 3

Mastering Physics 3 - Course PHYSICS260 Assignment 3 Due at...

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Course PHYSICS260 Assignment 3 Due at 11:00pm on Wednesday, February 20, 2008 Standard Expression for a Traveling Wave Description: Identify independant variables and parameters in the standard travelling wave; find phase, wavelength, period, and velocity of the wave using omega and k. Learning Goal: To understand the standard formula for a sinusoidal traveling wave. One formula for a wave with a y displacement (e.g., of a string) traveling in the x direction is . All the questions in this problem refer to this formula and to the wave it describes. Part A Which of the following are independent variables? Hint A.1 What are independent variables? Independent variables are those that are freely varied to control the value of the function. The independent variables typically appear on the horizontal axis of a plot of the function. ANSWER: only only only only only and and and and Part B Which of the following are parameters that determine the characteristics of the wave? Hint B.1 What are parameters? Parameters are constants that determine the characteristics of a particular function. For a wave these include the amplitude, frequency, wavelength, and period of the wave.
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ANSWER: only only only only only and and and and Part C What is the phase of the wave? Hint C.1 Definition of phase The phase is the argument of the trig function, which is expressed in radians. Express the phase in terms of one or more given variables ( , , , , and ) and any needed constants like . ANSWER: = Part D What is the wavelength of the wave? Hint D.1 Finding the wavelength Consider the form of the wave at time . The wave crosses the y axis, sloping upward at . The wavelength is the x position at which the wave next crosses the y axis, sloping upward (i.e., the length of one complete cycle of oscillation). Express the wavelength in terms of one or more given variables ( , , , , and ) and any needed constants like . ANSWER: = Part E What is the period of this wave? Express the period in terms of one or more given variables ( , , , , and ) and any needed constants like . ANSWER: = Part F
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What is the speed of propagation of this wave? Hint F.1 How to find If you've done the previous parts of this problem, you have found the wavelength and the period of this wave. The speed of propagation is a function of these two quantities: . Express the speed of propagation in terms of one or more given variables ( , , , , and ) and any needed constants like . ANSWER: = The Doppler Effect on a Train Description: Find the frequency heard by a listener in motion with respect to the source of sound that is itself moving.
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This homework help was uploaded on 04/09/2008 for the course PHYS 260 taught by Professor Chen during the Spring '08 term at Maryland.

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Mastering Physics 3 - Course PHYSICS260 Assignment 3 Due at...

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