A sinusoidal transverse wave y = A sin(kx-ωt) travels along a string of linear mass density μ with wave speed v. Which expression gives the average rate P̄ at which energy is transported past a fixed point of the string?
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Question

A sinusoidal transverse wave y = A sin(kx-ωt) travels along a string of linear mass density μ with wave speed v. Which expression gives the average rate P̄ at which energy is transported past a fixed point of the string?

Options

G1 Physics · Accepted Answer

For a sinusoidal wave on a string, the average power is P̄ = ½μω²A²v. It is therefore proportional to μ, A², ω², and v. Correct option: B.

A sinusoidal transverse wave y = A sin(kx−ωt) travels along a string of linear mass density μ with wave speed v. Which expression gives the average rate P̄ at which energy is transported past a fixed point of the string?