Calculating Current in a Rotating Loop Using Faraday's Law

[satchmo05]

Homework Statement

Plate is rotating on the yz plane, so perpindicular to x-plane. It is rotating at angular velocity, W = 10 [rad/s]. If B = 0.2a_y [T] and phi = 0 @ t = 0, find the current i, which is flowing up the portion of the loop that is along the z-axis (current is directed toward increasing values of z). A 10 ohm resistor also lies on the positive z-axis that the current goes through. Assume loop inductance is neglibile

Homework Equations

Faraday's Law, net voltage around a closed path is equal to the net time-varying mag. flux passes through the surface of your choosing.

The Attempt at a Solution

So, using Faraday's Law, I can break down the magnetic field integral into two components, the motional EMF minus the transformer EMF. The B-field is not changing with respect to time so the tranformer EMF goes to zero. The formula for motional EMF is:∫[(u x B) • dl]. Because the velocity around the edge of the rotating plate that is standing up straight on yz plane, u = W*p*a_phi. Taking the cross product of u/B] x B, and then multiplying the different displacement vector (dl), I determine the current to be i(t) = 2.4^-4sin(Wt). I have checked my calculations through these steps (i.e. making sure I multiplied centimeters by centimeters), and I don't see where I am going wrong. The correct answer is i(t) = 2.4^-6sin(Wt). How can I be off by a factor of 2?! Please help!

 

[satchmo05]

[PLAIN]http://img263.imageshack.us/img263/4404/75662244.jpg

Attached is an image to help clarify what I am asking. Now has been the first opportunity for me to gain access to a scanner. Thanks again for all help!