Question

A harmonically moving transverse wave on a string has a maximum particle velocity and acceleration of 3 m/s and $90 m/s^2$respectively. Velocity of the wave is 20 m/s. Find the waveform.

Answer 1

maximum particle velocity =wA=3

acceleration max=w2A=9

w=3

A=1

Vwave=20

f=w/2π=3/2π

v=lf

=>l=v/f

=>l=20x2π/3

=>l=40π/3

k=2π/l

=>k=6/40

The equation of the wave form is= Asin(wt-kx)

=sin(3t-6x/40).