A wave travelling along a string is described by y(x, 1) = 0.5 sin (80x – 3t) in which numerical constants are in S.I. unit. Calculate the amplitude, wave length, time period and frequency .

Explanation

Given y(x, t) = 0.5 sin (80x – 3t)m
Comparing this with `y(x, 1) = A sin (kx – omega t)`
We get
(i) Amplitude A = 0.5 m
(ii) ` k = (2pi)/(lamda) = 80 m `
i.e., `lamda = (2 xx 3.142)/(80) = 7.855 xx 10^(-2) m`
(iii) `omega = (2pi)/(T) = 3`
i.e., ` T = (2 xx 3.142)/(3) = 2.095s `
(iv) Frequency ` f = 1/T = (1)/(2.095) = 0.477 Hz`