A progressive wave is represented by an equation `y = 5 sin ( 80 pi t - 0.5 pi x ) `, where x, y are in 'm' and 't' in 's'. Find (a) amplitude (b)wavelength (c ) frequency (d) velocity of the wave.

Explanation

`y =A sin ( omega t -kx) `
given equation `y = 5 sin ( 80 pi t - 0.5 pi x )` comparing the two we get
(a) A = 5m ( b) `( 2pi)/(lambda) =0.5pi` `lambda = 4m` (c ) `2pi f t =80 pit ` `f=40Hz` (d) `v =f lambda =40 xx4 ` `v =160ms^(-1)`