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A circular coil with a diameter of 25.0 cm rotates about a vertical axis with an...

A circular coil with a diameter of 25.0 cm rotates about a vertical axis with an angular speed of 1000 rpm as shown in the Figure below. The only magnetic field in this system is that of the Earth. At the location of the coil, the horizontal component of the magnetic field is 3.80 x 10^-5 T, and the vertical component is 2.85 x 10^-5 T. If the root mean square (rms) emf induced in the coil is 31.3 mV, how many turns of wire does the coil have? Answer is 227 turns, need to see the problem worked out please!

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