A transverse wave is travelling on a string towards the left (i.e. in the direction of decreasing a co-ordinate). If the displacement of the string from the equilibrium position is describe by variable y, then write an expression for the wave equation of this wave y(x, t), in terms of its amplitude, A, wavenumber, k, and angular frequency, w, given a initial condition of y = 0 when x = 0 and t = 0. y(z, t) = If we know that the wavelength of the wave is = 0.42 m, its frequency is f = 61 Hz, and linear mass density of the string is µ = 0.35 kg/m then: What is the speed of the wave in this string? V = m/s A device has been used to measure the average power transmitted by the wave. If the power measured is P = 0.013 W, what must the amplitude of the wave be? A = mm

Physics for Scientists and Engineers: Foundations and Connections
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Chapter18: Superposition And Standing Waves
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Part 2)
A transverse wave is travelling on a string towards the left (i.e. in the direction of decreasing æ co-ordinate).
If the displacement of the string from the equilibrium position is describe by variable y, then write an expression for
the wave equation of this wave y(x, t), in terms of its amplitude, A, wavenumber, k, and angular frequency, w, given
a initial condition of y = 0 when x = 0 and t = 0.
y(x, t) =
If we know that the wavelength of the wave is A = 0.42 m, its frequency is f = 61 Hz, and linear mass density of
the string is u = 0.35 kg/m then:
What is the speed of the wave in this string?
m/s
A device has been used to measure the average power transmitted by the wave. If the power measured is
P = 0.013 W, what must the amplitude of the wave be?
A =
mm
Transcribed Image Text:Part 2) A transverse wave is travelling on a string towards the left (i.e. in the direction of decreasing æ co-ordinate). If the displacement of the string from the equilibrium position is describe by variable y, then write an expression for the wave equation of this wave y(x, t), in terms of its amplitude, A, wavenumber, k, and angular frequency, w, given a initial condition of y = 0 when x = 0 and t = 0. y(x, t) = If we know that the wavelength of the wave is A = 0.42 m, its frequency is f = 61 Hz, and linear mass density of the string is u = 0.35 kg/m then: What is the speed of the wave in this string? m/s A device has been used to measure the average power transmitted by the wave. If the power measured is P = 0.013 W, what must the amplitude of the wave be? A = mm
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