You are shipwrecked on a deserted tropical island. you have some electrical devices that you could operate using a generator but you have no magnets. the earth's magnetic field at your location is horizontal and equal to 8.0×10−5t, and you decide to try to use this field for a generator by rotating a large circular coil of wire at a high rate. you need to produce ϵmax = 9.0v and estimate that you can rotate the coil at 30rpm by turning a crank handle. you also decide that to have an acceptable coil resistance, the maximum number of turns the coil can have is 2000.

part a what area must the coil have?

part b if the coil is circular, what is the maximum translational speed of a point on the coil as it rotates?