Final answer:
The question asks about the magnetic field strength needed to induce a specific emf in a rotating coil, the angular momentum of a rotating thin meter stick, and the change in rotation rate of a spinning satellite when antennas are deployed.
Step-by-step explanation:
Calculating the Magnetic Field Strength
The question pertains to how much magnetic field strength is needed to induce an average electromotive force (emf) of 10,000 volts in a coil that has a radius of 0.250 meters and 500 turns, when it is rotated one-fourth of a revolution within 4.17 milliseconds. This coincides with a rotation of 60 revolutions per second. The formula to solve for the magnetic field strength, B, in this context would include the number of turns in the coil, the area of the coil, the change in magnetic flux, the change in time, and the induced emf.
Rotating Thin Meter Stick
For a thin meter stick rotating around an axis, the angular momentum can be calculated based on its mass, the point of the axis of rotation, and the angular velocity. The question provides the mass of the stick (150 g) and the angular velocity (240 rev/min). Different results are obtained when the axis of rotation passes through the center of the stick (scenario a) versus when it passes through one end of the stick (scenario b).
Changing Rotation Rate of a Satellite
A satellite, initially in the form of a sphere spinning around its center of mass, changes its rotation rate when two antennas are deployed. The mass and size of the satellite, as well as the mass and length of each antenna, affect the new rotation rate due to the conservation of angular momentum.