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.

Explanation

The given equation is in the form
`y = A sin ( kx - omega t ) `
`:. A = 0.005 m , omega = 3 rads^(-1)`
i.e., ` f- ( 3)/( 2pi ) =( 3 )/( 2 xx 3.142 ) = 0.477 Hz`
But, `T = ( 1)/( f ) =(1)/(0.477) = 2.094 s `
Also `k = ( 2pi )/(lambda ) , lambda = ( 2pi )/( k ) = ( 2 xx 3.142 )/( 80) = 0.0785m`.
Wave velocity, `v = ( omega )/( k ) = ( 3)/( 80) = 0.0375ms^(-1)`