The equation of a plane progressive wave is y=5 cos π(200t-x/(150)), where x and y are in cm and t in seconds. The velocity of the wave is m s⁻¹.

Question

Accepted Answer

(4) 300. Comparing with y=A cos(ω t-kx): ω=200π rad s⁻¹ and k=π/(150) cm⁻¹. v=ω/k=200π×(150)/π=3×10⁴ cm s⁻¹=300 m s⁻¹.

The equation of a plane progressive wave is y=5 cos π(200t-x/(150)), where x and y are in cm and t in seconds. The velocity of the wave is ______ m s⁻¹.