The discussion focuses on calculating the power required to generate a wave in a string with a 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=1/2mvA²ω², where ω is the angular frequency calculated as ω=2πf. The calculations confirm that the expression for power is correct, prompting further numerical evaluation to ensure accuracy.
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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?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