Integration problem (I think?): vibrating string

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mooshupork34

Junior Member
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Oct 29, 2006
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ok, i'm confused about how to approach this so any help would be appreciated!

A point on a vibrating string oscillates according to x(t) = 0.016 sin(3pi/2 (*t)) inches (t in milliseconds). What's the average position of the point during the first millisecond? What's the average position of a point during the first full minute of vibration? Estimate what the average position would be over a very long time interval.
 
ever hear of the average value of a function?

\(\displaystyle \L x_{avg} = \frac{1}{t_2 - t_1} \int_{t_1}^{t_2} x(t) dt\)
 
given that a and b are constants ...

\(\displaystyle \L \int a \sin{(bt)}dt = -\frac{a}{b}\cos{(bt)} + C\)
 
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