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A certain 120 Hz wave on a string has an...

A certain `120 Hz` wave on a string has an amplitude of `0.160 mm`. How much energy exits in an`80 g` length of the string?

Text Solution

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Energy density,`u = (1)/(2)rho omega^(2)A^(2)`
Total energy `=(u) (V) `
`=(1)/(2)(rhoV)(2pif)^(2)A^(2)`
`=2pi^(2) mf^(2) A^(2)`
`=(2) (pi)^(2) (0.08)(120)^(2)(0.16 xx10^(-3))^(2)`
`=581xx 10^(-3)J`
`=0.58mJ`
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