Power required to generate a wave

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The discussion focuses on calculating the power required to generate a wave in a string with given parameters: linear density of 0.05 kg/m, tension of 80N, frequency of 60Hz, and amplitude of 6 cm. The relevant equations include wave speed (V=√T/m) and average power (P=1/2mvA^2w^2). The user successfully calculates the angular frequency and applies the power formula. There is a prompt for numerical verification of the calculated power. The conversation emphasizes ensuring the accuracy of the power calculation based on the provided parameters.
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Homework Statement


Linear density of mass m = 0.05 kg/m
Tension = 80N
Frequency, f= 60Hz
Amplitude = 6 cm

The question asks the power supplied to generate such wave in a string.

Homework Equations


V=√T/m
P=1/2mvA^2w^2
w/2pi=f

The Attempt at a Solution


V=(T/m)^1/2
I calculated the angular frequency by w/2pi= f
Then I used the power for avg power
P=1/2A^2w^2vm
 
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AbhinavJ said:

Homework Statement


Linear density of mass m = 0.05 kg/m
Tension = 80N
Frequency, f= 60Hz
Amplitude = 6 cm

The question asks the power supplied to generate such wave in a string.

Homework Equations


V=√T/m
P=1/2mvA^2w^2
w/2pi=f

The Attempt at a Solution


V=(T/m)^1/2
I calculated the angular frequency by w/2pi= f
Then I used the power for avg power
P=1/2A^2w^2vm
Your expression for P looks right to me. Do you have reason to believe your answer is wrong? If so, what do you get numerically and what should it be?
 

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