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Q.

A string with linear mass density μ=5.00×10−2  kg/m  is under a tension of 80.0 N. How much power must be supplied to the string to generate sinusoidal waves at a frequency of 60.0 Hz and an amplitude of 6.00 cm?

 

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a

512 W

b

250 W

c

212W 

d

125 W

answer is C.

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Detailed Solution

The wave speed on the string is v= T μ = 80.0N 5.00× 10 −2 kg/m 1/2 =40.0m/s  
Because ϕ=60Hz  , the angular frequency ω  of the sinusoidal waves on the string has the value Question Image  Using these values in following equation for the power , with A=6.00× 10 −2 m   gives p= 1 2 μ ω 2 A 2 v= 5.00× 10 −2 kg/m 377 s −1 2 × 6.00× 10 −2 m 2 (40.0m/s)=512W    
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