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The equation of a wave travelling on a s...

The equation of a wave travelling on a string is `y = (0.10 mm) sin [(31.4 m^(-1)) x + (314 s^(-1))t]`
(a) In which direction does the travel?
(b) Find the wave speed, the wavelength and the frequency of the wave.
( c ) What is the maximum displacement and the maximum speed of a portion of the string?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) coefficient of `x and t` are same sign.
(b) `v = (31.4)/(31.4)=10 m//s rArr lambda =(2pi)/(k), f = (omega)/(2pi)`
( c ) `v_(max) = omegaA`
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