PHYSICS: Please Help. I have the answer, I just don't know how to get to it, the book doesn't have an example

Question

A 200-turn coil rotates in a magnetic field of magnitude 0.25T at a frequency of 60Hz. The area of the coil is 5.0cm^2. What is the maximum emf of the coil?

answer: 9.4V

Answer 1

Emf  E induced in a rotating coil is given by:

E = nBAwsin(wt)

where n = number of turns, B is the magnitude of the magnetic field, A is the area of the coil and w (sorry, it's supposed to be an omega!) is the angular frequency of the rotating coil.    w = 2 * pi * f

The sin(wt) term varies [sinusoidally!] between 0 and 1 as the coil rotates.  The maximum emf therefore occurs when sin(wt) = 1, so Emax is just:

Emax = nBAw

Plugging in your values:

n = 200

B = 0.25T

A = 5.0 * 10^-4 m^2   [area needs to be in square metres]

w = 2 * pi * 60 = 377 radians/sec

Emax = 9.42 v