The transverse displacement of a stretched rope at is given (in SI units) by where is…

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

The transverse displacement of a stretched rope at

t = 0

is given (in SI units) by

y(x,0) = 0.040\,\sin(6\pi x)

where

x

is in metres and

y

in metres. (i) Find the amplitude and the wavelength of the travelling wave. (ii) The wave propagates along the

+x

-direction with a speed of

18\,\text{m/s}

. Calculate its period and frequency.