The equation of a transverse wave travelling on a rope is given by y=10sin π(0.001x−2.00t) where y and x are in centimeters and t in seconds. The maximum transverse speed of a particle in the rope is about.
63 cm/s
Standard equation of travelling wave y=A sin(kx−ωt) By comparing with the given equation
y=10sin(0.01πx−2πt)
A=10cm,ω=2π
Maximum particle velocity =Aω=2π×10=63 cm/s