When a wave travels in a medium the displacements of particles are given by y=0.01sin2π(2t−0.01x)  where  x, y are in meter and t in seconds. Find wavelength, wave velocity.

The given equation is  y=0.01sin4πt−0.01×2πx Comparing this equation with y=Asinwt−kx   we get ,   Amplitude A=0.01m  Frequency w=4π rad/s ⇒2πn=4π ⇒n=2Hz  Wavelength k=0.01×2π⇒2π/λ=2π/100λ=100 m Wave Speed∴v=nλ=2×100=200 m/s