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A taut string for which $μ = 5 \times 10^{- 2} k g m^{- 1}$ is under a tension of 80N. How much power, in watt, must be supplied to the string to generate sinusoidal waves at a frequency of 60HZ and an amplitude of 6cm? Given $π^{2} \approx 10$ . (round off to the nearest integer)

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answer is 518.

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Detailed Solution

$S i n c e, v = \sqrt{\frac{T}{μ}} v = 40 m s^{- 1} ω = 2 π f = 377 r a d s^{- 1} a n d P = \frac{1}{2} μ ω^{2} A^{2} v = 512 w a t t$

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