The displacement y of a particle in a medium can be expressed as y = 10 - 6 sin 100 t - 20x + π / 4 m , where t is in seconds and x in meters. The speed of the wave is

Step-by-step solution

Given wave equation : y = 10 - 6 sin 100 t + 20x + π 4   m Standard equation : y = a sin  ωt + k x + ϕ Comparing the two, we obtain ∴   ω = 100 and k = 20 ∴ ω k = 100 20 ⇒ 2 πn 2 π / λ = nλ = v = 5 ∴ v = 5   m   s - 1