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  • A stretched rope having linear mass density    is under a

A stretched rope having linear mass density  5\times 10^{-2 } kg/m  is under a tension of 80N.  The power that has to be supplied to the rope to generate harmonic waves at a frequency of 60 Hz and a amplitude of 6 cm is -

Option: 1

362 W


Option: 2

251 W


Option: 3

511 W


Option: 4

416 W


Answers (1)

best_answer

v= \frac{T}{\mu } = \sqrt{\frac{80}{5\times 10^{-2}}} = 40m/s

P= \frac{1}{2}f\omega ^{2}A^{2}3V

P= \frac{1}{2}\mu (2\pi f)^{2}\mu

P= \frac{1}{2} \times 5\times 10^{-2} (2\pi \times 60)^{2}\times 40\times (0.06)^{2}

     = 511 W

Posted by

shivangi.shekhar

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