HELP Induced Voltage question

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SUMMARY

The discussion centers on calculating the maximum induced voltage in a coil with 10 turns, shaped as an ellipse, rotating at 100 RPM within the Earth's magnetic field of 55 microteslas. The formula used is Emax = NBAω sin(ωt), where the area A is calculated as 1.26 m². The user initially miscalculated the area and later corrected it, concluding that the induced voltage is 18.1 microvolts when the coil is perpendicular to the magnetic field and 0 volts when parallel, as no magnetic field interacts with the coil in that orientation.

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HELP! Induced Voltage question

Here it is: Coil has 10 turns and shaped in an elipse (A = pie ab), having a major axis of 10 cm (10 X 10^-2 m) and minor axis 4 cm (4 X 10^-2m). Coil rotates 100 rpm in a region in which the magnitude of the Earth's magnetic field is 55 microT. What is max voltage induced in the coil if the axis of rotation of the coil is along its major axis and aligned
a) Perpendicular to Earth's magnetic field or
b) parallel

So, I figure my equation should be Emax = NBA omega sin omega t

Then, I figure my area to be: A = pi ((10 X 4)x10^-2 m^2)) = 1.26 m^2
and Omega = 2 pi(rpm / 60) -> 2 pi (100 / 60) = 10.47 rad/s

My equation then looks like this:
10(55X10^-6 T)(1.26 m^2)10.47 rad/s sin 10.47 rad/s t
But it doesn't come out right AND I don't know what t would be, as its not mentioned. a) is supposed to be 18.1 micro V and b) is 0, I suppose because it is parallel, no magnetic field is hitting it when parallel, right?
 
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hahhaahaha, I got it... I needed to fix my area. S/B (4 cm / 2)(10 cm / 2) = 10 cm... got my answer, thanks anyway
 

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