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A wave travelling along a string is desc...

A wave travelling along a string is described by `Y ( x,t ) = 0.005 sin ( 80 x - 3t ) ` in which the numerical constants are in SI units. Calculate (i) amplitude (ii) the wavelength and (iii) the period and frequency of the wave.

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Given Y(x,t) =0.005 sin (80 x-3t)m
Comparing with the standard equation, we write
y(x,t)= A sin (kx- wt)
k=80
i.e `(2pi)/(lambda)=80 lambda =- (2 xx 3.14 )/(80) = 0.0785 m`
`lambda=7.85 cm`
`w= (2pi)/(T)=3`
`i.e T= (2xx3.14)/(3)=2.093s `
`T=2.09s`
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