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?