Peak EMF in Generator Coil at 90.0 Hz: 0.012V

[ProPatto16]

Homework Statement

A generator has a 170-turn square coil, 5 cm on a side.
Find the peak emf in this coil when it's rotating at 90.0 Hz in Earth's field, 5*10^-5 T
Express your answer to one significant figure and include the appropriate units.

Homework Equations

Emf = NBAw

The Attempt at a Solution

N = 170
B = 5*10^-5
A = 0.05^2 = 0.0025m^2
w = 2*pi*f = 565.49

subbing in, emf = 0.012V




BUT. mastering physics is telling me its wrong.

 

[rl.bhat]

Try 12.0 mV.

 

[ProPatto16]

nope, wrong.

 

[ProPatto16]

nevermind, its 10mV... they don't seem to care for accuracy.

 

[rwisz]

whats the deal?

I would first check my calculations and make sure all units are consistent. It appears that in your calculations, you have used the frequency in Hz (90.0 Hz) but the angular velocity in rad/s (565.49 rad/s). This could lead to an incorrect answer. I would recommend converting the frequency to angular velocity before plugging it into the equation. Additionally, make sure to use the correct value for the number of turns (170) and the magnetic field strength (5*10^-5 T). These small errors can make a big difference in the final answer. Also, check if the question is asking for the peak emf or the average emf, as they can be different values. Lastly, make sure to round your answer to the appropriate number of significant figures as indicated in the question. If the problem persists, I would suggest seeking help from a classmate or instructor.