A long solenoid, with its axis along the x axis, consists of 170 turns per meter of wire that carries a steady current of 15.0 Amp. A coil is formed by wrapping 30 turns of thin wire around a circular frame that has a radius of 9.00 centimeter. The coil is located inside the solenoid and mounted on an axis that is a diameter of the coil and coincides with the y axis. The coil is then rotated with an angular speed of 4.00π rad/s. (The plane of the coil is in the yz plane at t = 0). Obtain the emf generated in the coil as a function of time.