Calculate the EMF induced in the square?

[hrf2]

Homework Statement

1. 
   A square of wire with side length 1.4 m rotates about an axis through one corner that is perpendicular to the plane of the square with an angular speed of 3 rev/s. There is a uniform magnetic field of 1.2 T perpendicular to the square. Calculate the EMF induced in the square.

Homework Equations

I know we'll need E=N*B*A*w; here, N=1, B=1.2T, and I thought A=1.96 m², but I'm not sure now.

The Attempt at a Solution

I attempted to do the equation at face-value but realized my geometry is not correct. How would you set up this problem geometrically? I think the problem should be set up with a square formed by the x and z axis and the axis of rotation at the y, maybe something like the diagram I uploaded. But then how do I form the equation from there?

Thanks for any help in advance!

 

[Hesch]

The flux, ψ = B * A.

E = dψ_n / dt = dψ / dt , ( N = 1 ).

So calculate the amount of flux, dψ, that the square crosses within a time, dt.

 

[rude man]

How does the B field, and therefore the flux, vary with time as the square rotates around the wire? Your answer will be a function of time (unless you express the emf as rms or peak volts).