What is the maximum emf induced in a rotating coil with given parameters?

[midwest]

Homework Statement

A 104-turn coil rotates 7.14 times per second. The coil has a cross-sectional area of 0.670 m2 and the
magnetic field through the coils is 0.0720 T. What is the maximum emf induced in the coil?

Homework Equations

Honestly the rotating coil is throwing me off. But I think I should use Emax= NBAw

The Attempt at a Solution

Emax= NBAw
=104*.072 T * .67 m2 * 7.14 = 35.82But I think that is wrong!

Thanks, Any direction is appreciated!

 

[Basic_Physics]

The rotating coil causes the area that the magnetic field cuts through to change. In the ΔBA term only A changes. B stays the same. This means that the induced voltage will change from a minimum to a maximum and back as the coil rotates in the field. So you need to evaluate the ΔA/Δt term. that is by how much do the area change in what amount of time.