Explanation Given data: The equation of variation of pressure is, Δ P = ( 2.0 N/m 2 ) cos [ 2 π ( t 0.010 s − x 3.4 m ) ] . Formula used: The wave equation for any sinusoidal wave is, y = A cos [ 2 π ( t T − x λ ) ] Here, y is the displacement of the wave, A is the amplitude of the wave, T is the time period of the wave, t is the time, λ is the wave length of the wave, and x is the position. The wave length in terms of time period is, λ = T v Here, λ is the wave length of the wave, T is the time period of the wave, and v is the velocity of the wave. Explanation: The expression for wave sinusoidal wave is give as, y = A cos [ 2 π ( t T − x λ ) ] The equation of variation of pressure is: Δ P = ( 2.0 N/m 2 ) cos [ 2 π ( t 0.010 s − x 3.4 m ) ] . Comparing both the above equations. The amplitude is A = 2.0 N/m 2 , the time period is T = 0.010 s , and the wavelength is λ = 3.4 m . Consider the given equation of variation of pressure. Δ P = ( 2.0 N/m 2 ) cos [ 2 π ( t 0.010 s − x 3.4 m ) ] At the starting point, t = 0 s and the displacement of the wave is x = 0 m . Substitute, 0 s for t and 0 m for x . Δ P = ( 2

2nd Edition

ISBN: 9780134601823

Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan

Publisher: Pearson,

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Chapter 11, Problem 7P

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Information about the wave, if the equation below describes the variation of pressure at different positions and the time period of the sound wave:

ΔP=(2.0 N/m2)cos[2π(t0.010 s−x3.4 m)]

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Information about the wave, if the equation below describes the variation of pressure at different positions and the time period of the sound wave: Δ P = ( 2.0 N/m 2 ) cos [ 2 π ( t 0.010 s − x 3.4 m ) ]

Solution Summary: The author explains the wave equation for any sinusoidal wave: y=Amathrmcosleft.

Information about the wave, if the equation below describes the variation of pressure at different positions and the time period of the sound wave:

ΔP=(2.0 N/m2)cos[2π(t0.010 s−x3.4 m)]

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Chapter 11 Solutions

Information about the wave, if the equation below describes the variation of pressure at different positions and the time period of the sound wave: Δ P = ( 2.0 N/m 2 ) cos [ 2 π ( t 0.010 s − x 3.4 m ) ]

Solution Summary: The author explains the wave equation for any sinusoidal wave: y=Amathrmcosleft.

Information about the wave, if the equation below describes the variation of pressure at different positions and the time period of the sound wave: ΔP=(2.0 N/m2)cos[2π(t0.010 s−x3.4 m)]

Want to see the full answer?

Chapter 11 Solutions

Information about the wave, if the equation below describes the variation of pressure at different positions and the time period of the sound wave:

ΔP=(2.0 N/m2)cos[2π(t0.010 s−x3.4 m)]