does the voltage output increase when a generator is made to spin faster? Defend your answer

http://en.wikipedia.org/wiki/Faraday's_law_of_induction

Yes, the voltage output of a generator does increase when it is made to spin faster. This can be explained by Faraday's Law of electromagnetic induction.

When a generator is spun, it causes a relative motion between a magnetic field and a conductor (usually a coil of wire). According to Faraday's Law, this relative motion induces an electromotive force (EMF) or voltage across the ends of the conductor. The magnitude of this induced voltage is directly proportional to the rate of change of the magnetic field or the rate at which the conductor cuts through the magnetic field lines.

Now, when a generator is made to spin faster, the rate at which the conductor cuts through the magnetic field lines increases. As a result, the rate of change of the magnetic field also increases, leading to a larger induced voltage across the ends of the conductor.

So, in summary, when a generator is made to spin faster, the voltage output increases because the rate of change of the magnetic field, and thus the induced voltage, increases.