Question

Using a coil made of 117 turns of single-strand copper wire, you use a motor to rotate the coil at a constant angular speed of 30.0 revolutions per second at various orientations and locations throughout the room. In one particularly significant orientation, you notice a maximum induced voltage of 2.15 V appearing in the coil. If the radius of the coils is 1.00 cm, how strong was the magnetic field that produced this EMF?


I have tried using the EMF=NBAwsin(wt) to solve for B, and inputting the numbers for the variables is okay, but I can't figure out how to solve for time in order to multiply it by omega. so I have 2.15=117*B*(.01^2 x pi)*30*sin(30t)