A standing wave is Y = A sin(100t) cos(0.01x), where x is in metres and t in seconds. Find the travelling-wave speed.
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A standing wave is Y = A sin(100t) cos(0.01x), where x is in metres and t in seconds. Find the travelling-wave speed.

G1 Physics · Accepted Answer

Step 1: In y = A sin(100t) cos(0.01x), ω = 100 s⁻¹ and k = 0.01 m⁻¹. Step 2: The component travelling waves have speed v = ω/k = 100/0.01 = 10⁴ m s⁻¹. Final: A.