A closely wound rectangular coil of 80 turns has dimensions 25.0 rm cm by 40.0 rm cm. The plane of the coil is rotated from a position in which it makes an angle of 37.0 degrees with a magnetic field of 1.10 rm T to a position perpendicular to the field. The rotation takes 0.0600 rm s. What is the average emf EMF induced in the coil? What is the magnitude of the average emf induced as the coil is rotated?