A transverse wave on a string is described by the following wavefunction. y = (0

Question

A transverse wave on a string is described by the following wavefunction. y = (0.090 m) sin[(x/10 + 5t)] (a) Determine the transverse speed and accelerationat t = 0.260 s for the point on the string locatedat x = 1.60 m.
m/s
m/s2

(b) What are the wavelength, period, and speed of propagation ofthis wave?
m
s
m/s y = (0.090 m) sin[(x/10 + 5t)] (a) Determine the transverse speed and accelerationat t = 0.260 s for the point on the string locatedat x = 1.60 m.
m/s
m/s2

(b) What are the wavelength, period, and speed of propagation ofthis wave?
m
s
m/s

Explanation / Answer

Hints: Given eq of the form y = ym sin[(Kx + t)]      .........1 y = ym sin[(Kx + t)]      .........1 a) The transverse speed u = ym cos [(Kx + t)]     b) wave length = 2 / k       period T = 2 /       speed v = / k Compare the given eq with eq 1 and substitute thevalues.

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