Induced EMF in a Coil Inside a Solenoid

A solenoid with a length of 15 cm, a radius of 2 cm, and 500 turns per meter carries a current given by $I(t) = 3\sin(60\pi t)$ A. A small, 20-turn coil with a radius of 1 cm is placed inside the solenoid, coaxial with it. What is the maximum induced electromotive force (emf) in the coil?