The displacement–position equation of a wave on a string at is

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

The displacement–position equation of a wave on a string at

t = 0

y(x,0) = 4.0 \sin\!\left(\dfrac{\pi x}{0.60}\right)

, where

y

is in millimetres and

x

in metres. The wave travels in the

+x

direction with a speed of

3.0\,\text{m}\,\text{s}^{-1}

. (a) Determine the wavelength of the wave. (b) For the particle situated at

x = 0.45\,\text{m}

, write the expression for its displacement as a function of time

t

. Treat

t

in seconds and

y

in millimetres. (c) Hence, state the amplitude and time period of the oscillation of this particle.