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Willjeezy
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Homework Statement
I keep getting the wrong answer for this question:
A taut spring for which μ = 0.05 kg/m is under tension of 80.0N. How much power must be supplied to the string to generate sinusoidal waves at a frequency of 60Hz and an amplitude of 6cm?
Homework Equations
ω = 2∏f
v = √(T/μ)
P = (1/2)μω2A2v
The Attempt at a Solution
Convert cm to m --> 6cm = 0.06m
Find ω
ω = 2∏(60)
= 376.99
Find v
v = √(80/.05)
=0.4m/s2
Find P
P = (1/2)(0.05)(376.99)2(0.06)2(0.4)
=5.12
however, the book tells me the answer is 512W. Did I convert something wrong?
Watts is J/s, and joules is in (Kg * m2)/s, so it only makes sense that I would have to convert the cm to m.
By dimensional analysis my answer has the units of :
(kg * rad2 * m2) / s3
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