As a new electrical engineer for the local power company, you are assigned the project of designing a generator of sinusoidal ac voltage with a maximum voltage of 120 {\rm V}. Besides plenty of wire, you have two strong magnets that can produce a constant uniform magnetic field of 1.1{\rm T} over a square area with a length of 10.4{\rm cm} on a side when the magnets are separated by a distance of 11.6{\rm cm} . The basic design should consist of a square coil turning in the uniform magnetic field. To have an acceptable coil resistance, the coil can have at most 350 loops.
Part A What is the minimum rotation rate of the coil so it will produce the required voltage?