Question

The equation of a progressive wave is y = 0.2 sin(50t-0.5x). Find the amplitude and the magnitude of the velocity, if ‘x’ and ‘y’ are in metres.

Answer 1

Given equation is,

y = 0.2 sin(50t – 0.5x)

= 0.2 sin50(t – x/100)

Comparing with y = a sin ω (t – x/v)

amplitude a = 0.2m,

velocity v = 100m/s