Calculating Magnetic Field from Generator Graph

[candyq27]

Homework Statement

I have a graph of an emf of a generator vs time, and i know the cross-sectional area per turn is 0.03m^2 and there are 160 turns. From the wave graph I figured out the frequency of the generator is 2.4Hz and the angular speed is 14.96rad/s. I need to figure out the magnetic field.

Homework Equations

e=-NAcos0B/t

The Attempt at a Solution

I found the frequency and angular speed from the graph but I have no idea how to find the magnetic field from a graph. Please help. Thank you.

 

[dobry_den]

It's important to realize that the emf is directly proportional to the change of magnetic flux:

$$\Phi = BS\cos{\omega}t$$

$$emf = -N \frac{d\Phi}{dt}$$,

that is:

$$emf = -NBS \frac{d}{dt}\cos{\omega}t = -NBS\omega\sin{\omega}t$$

Then rearrange it to get the formula for B.

 

[candyq27]

Ok so I rearranged the formula to get B=emf/-NAwsinwt
= 28/(-160)(.03)(14.96)(sin(14.96*.315))
=28/71.808
=0.38993
Is that correct? Thanks!