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Consider the surface density wave 01 = 010e²(wt+30-ar³/4) " where t is time, the azimuthal angle, which increases clockwise, and r the radial coordi- nate. w is the angular frequency (w > 0), a is a positive constant. 010 is the amplitude of the wave. 1. Using mathematical arguments show whether the pattern described by σ 1 is rotating clockwise or anticlockwise. 2. Using mathematical arguments show whether the pattern described by σ is a trailing or a leading spiral.

Consider the surface density wave 01 = 010e²(wt+30-ar³/4) " where t is time, the azimuthal angle, which increases clockwise, and r the radial coordi- nate. w is the angular frequency (w > 0), a is a positive constant. 010 is the amplitude of the wave. 1. Using mathematical arguments show whether the pattern described by σ 1 is rotating clockwise or anticlockwise. 2. Using mathematical arguments show whether the pattern described by σ is a trailing or a leading spiral.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Consider the surface density wave 01 = 010e²(wt+30-ar³/4) " where t is time, the azimuthal angle, which increases clockwise, and r the radial coordi- nate. w is the angular frequency (w > 0), a is a positive constant. 010 is the amplitude of the wave. 1. Using mathematical arguments show whether the pattern described by σ 1 is rotating clockwise or anticlockwise.
Transcribed Image Text:Consider the surface density wave 01 = 010e²(wt+30-ar³/4) " where t is time, the azimuthal angle, which increases clockwise, and r the radial coordi- nate. w is the angular frequency (w > 0), a is a positive constant. 010 is the amplitude of the wave. 1. Using mathematical arguments show whether the pattern described by σ 1 is rotating clockwise or anticlockwise.
2. Using mathematical arguments show whether the pattern described by σ is a trailing or a leading spiral.
Transcribed Image Text:2. Using mathematical arguments show whether the pattern described by σ is a trailing or a leading spiral.
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