How Do You Calculate Power Input for an Alternator at 3000rpm?

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Homework Statement


An alternator runs at 3000rpm and produces a sinusoidal output voltage with an amplitude of 100V. Calculate the power input required to turn it.


Homework Equations


Ohms Law: I=V/R, R=V/I, V=IR, Watts Law P = VI
Lenz's law regarding back EMF.

The Attempt at a Solution


I know I should be using the above formulas, but I cannot understand how to make the calculation with only the information that was provided. Can someone please help with the calculation.
Thanks kindly for any help.
 
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