The wave function for a travelling wave on a taut string is y = 0.250 sin (10nt - 47x+); (all in SI units) i) What is the vertical position of an element of the string at t=0, x=0.100m? ii) Calculate the wavelength of this travelling wave. iii) Find the frequency of the wave. iv) Determine the maximum transverse speed of an element of the string? v) If the mass per unit length of this string is 10.0 g/m, determine the power to be supplied to generate the above waveform travelling at the maximum transverse speed?

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Chapter16: Wave Motion
Section: Chapter Questions
Problem 16.9P
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The wave function for a travelling wave on a taut string is
y = 0.250 sin ( 107t – 4nx +); (all in SI units)
i) What is the vertical position of an element of the string at t= 0, x = 0.100m?
ii) Calculate the wavelength of this travelling wave.
iii) Find the frequency of the wave.
iv) Determine the maximum transverse speed of an element of the string?
v) If the mass per unit length of this string is 10.0 g/m, determine the power to be supplied
to generate the above waveform travelling at the maximum transverse speed?
Transcribed Image Text:The wave function for a travelling wave on a taut string is y = 0.250 sin ( 107t – 4nx +); (all in SI units) i) What is the vertical position of an element of the string at t= 0, x = 0.100m? ii) Calculate the wavelength of this travelling wave. iii) Find the frequency of the wave. iv) Determine the maximum transverse speed of an element of the string? v) If the mass per unit length of this string is 10.0 g/m, determine the power to be supplied to generate the above waveform travelling at the maximum transverse speed?
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