Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to 4.00 × 1 0 − 2 kg/m. If the source can deliver a maximum power of 90 W and the string i

Question

Sinusoidal waves 5.00 cm in amplitude are to be transmitted along a string having a linear mass density equal to 4.00 × 1 0 − 2 kg/m. If the source can deliver a maximum power of 90 W and the string is under a tension of 100 N, then the highest frequency at which the source can operate is (take π 2 = 10 ):

TestHub · Accepted Answer

v = 100/0.04 ​ = 50 m/s. P = 2 1 ​ μ ω 2 A 2 v , so 90 = 2 1 ​ ( 0.04 ) ω 20.05 2 ( 50 ) = 2.5 × 1 0 − 3 ω 2 and ω 2 = 36000 . f 2 = ω 2 /4 π 2 = 36000/40 = 900 , so f = 30 Hz.

Physics - Wave on String Question with Solution | TestHub

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