Question: As a longitudinal wave passes through a medium, a particle making up the medium with an equilibrium position of x = 1.01 m undergoes simple harmonic motion described by the equation s(t) = 2.33 cos (3.67t+2.400) cm. The wavelength is 49.0 cm. Part 1) What is the maximum speed of a particle making up the medium? Umax = m/s Part 2) What is the wave speed? U= m/s Part 3) Write an equation to describe the wave as a function of x and t, where x is in m and t is in s. The wave is travelling in the positive direction. s(x, t) = sin m

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Chapter1: Units, Trigonometry. And Vectors
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Question:
As a longitudinal wave passes through a medium, a particle making up the medium with an equilibrium position of x = 1.01 m undergoes
simple harmonic motion described by the equation s(t) = 2.33 cos(3.67t +2.400) cm. The wavelength is 49.0 cm.
Part 1)
What is the maximum speed of a particle making up the medium?
m/s
Umax
Part 2)
What is the wave speed?
U=
m/s
Part 3)
Write an equation to describe the wave as a function of x and t, where x is in m and t is in s. The wave is travelling in the positive direction.
s(x, t) =
sin
m
A correct answer is 0.0855, which can be typed in as follows:
0.0855
A correct answer is 0.286, which can be typed in as follows:
0.286
A correct answer is 0.0233, which can be typed in as follows:
0.0233
A correct answer is 12.8 x 3.67t+-13.8, which can be typed in as follows:
12.8*x-3.67*+-13.8
Transcribed Image Text:Question: As a longitudinal wave passes through a medium, a particle making up the medium with an equilibrium position of x = 1.01 m undergoes simple harmonic motion described by the equation s(t) = 2.33 cos(3.67t +2.400) cm. The wavelength is 49.0 cm. Part 1) What is the maximum speed of a particle making up the medium? m/s Umax Part 2) What is the wave speed? U= m/s Part 3) Write an equation to describe the wave as a function of x and t, where x is in m and t is in s. The wave is travelling in the positive direction. s(x, t) = sin m A correct answer is 0.0855, which can be typed in as follows: 0.0855 A correct answer is 0.286, which can be typed in as follows: 0.286 A correct answer is 0.0233, which can be typed in as follows: 0.0233 A correct answer is 12.8 x 3.67t+-13.8, which can be typed in as follows: 12.8*x-3.67*+-13.8
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