The wave function y (x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = 4.20 sin(0.230x) cos(300t) where y and x are in centimeters and t is in seconds. A standing wave can be considered as the superposition of two traveling waves. What is the wavelength of the two traveling waves that make up the specified standing wave? What is the frequency f of the waves? What is the speed u of transverse waves on this string? If the string is vibrating in its fourth harmonic, what is its le L? λ = f = V= L = 27.30 47.78 Incorrect 12.6 Incorrect 54.6 cm Hz m/s cm

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Chapter1: Units, Trigonometry. And Vectors
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The wave function y (x, t) for a certain standing wave on a string fixed at both ends is given by
y(x, t) = 4.20 sin(0.230x) cos(300t) where y and x are in centimeters and t is in seconds. A standing wave can be
considered as the superposition of two traveling waves.
What is the wavelength of the two traveling waves that
make up the specified standing wave?
What is the frequency f of the waves?
What is the speed u of transverse waves on this string?
If the string is vibrating in its fourth harmonic, what is its le
L?
λ =
f =
V =
L =
27.30
47.78
Incorrect
12.6
Incorrect
54.6
cm
Hz
m/s
cm
Transcribed Image Text:The wave function y (x, t) for a certain standing wave on a string fixed at both ends is given by y(x, t) = 4.20 sin(0.230x) cos(300t) where y and x are in centimeters and t is in seconds. A standing wave can be considered as the superposition of two traveling waves. What is the wavelength of the two traveling waves that make up the specified standing wave? What is the frequency f of the waves? What is the speed u of transverse waves on this string? If the string is vibrating in its fourth harmonic, what is its le L? λ = f = V = L = 27.30 47.78 Incorrect 12.6 Incorrect 54.6 cm Hz m/s cm
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