You are stranded on a deserted island. You have some wire, but no magnets. You decide to use the Earth's magnetic field, the only one available to you. The Earth's magnetic field at your location is 8.0 x 10-5 T. You will try to use this field for a generator by moving a coil of wire at the highest frequency you can, 30 rotations per minute by turning a crank handle. The maximum number of turns the coil can have is 2000, due to weight and resistance constraints.
What area must the coil have?
Assuming the coil is circular (or as circular as you can make it!), what is the maximum translational speed of a point on the coil as it rotates.
Do you think this device is feasible - discuss the engineering aspects of creating it.