chapt20 - Saturday Physics Chapter 20 Assignment is due at...

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Saturday Physics Chapter 20 Assignment is due at 1pm on Thursday, December 30, 2004. Problem Description: Introduction to wave notation: find relationships between the various kinematic variables: wavelength, frequency, period, and velocity. Wave Notation It is of fundamental importance in many areas of physics to be able to deal with waves. This problem will lead you to understand the relationship of variables related to wave propagation: frequency, wavelength, velocity of propagation, and related variables. Note that these are kinematic variables that relate to the wave's propagation and do not depend on its amplitude. A. Traveling waves propagate with a fixed speed usually denoted as (but sometimes ). The waves are called _______________ if their waveform repeats every time interval . periodic The fundamental relationship among frequency, wavelength, and velocity is . This relationship may be visualized as follows: In 1 s, cycles of the wave move past an observer. In this same second the wavetrain moves a distance . Solve this equation to find an expression for the wavelength . Express your answer in terms of the velocity and the frequency . = v/f B. If the velocity of the wave remains constant, then as the frequency of the wave is increased, the wavelength ___________.
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decreases C. The difference between the frequency and the frequency is that is measured in cycles per second or hertz (abbreviated Hz) whereas the units for are ___________. Give your answer in one word. Watch your spelling to avoid a mistake! radians per second D. Find an expression for the period of a wave in terms of other kinematic variables. Express your answer in terms of any of , , , and simple constants such as . = 1/f or 2*pi/omega E. What is the relationship between and ? 2*pi*f F. What is the simplest relationship between the wavenumber and just one of the other kinematic variables? Express your answer using only one of the other kinematic variables plus constants like . = 2*pi/lambda Problem Description: Identify independant variables and parameters in the standard travelling wave; find phase, wavelength, period, and velocity of the wave using omega and k. Standard Expression for a Traveling Wave Learning Goal: To understand the standard formula for a sinusoidal traveling wave.
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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. A. Which of the following are independent variables?
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chapt20 - Saturday Physics Chapter 20 Assignment is due at...

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