A closely wound rectangular coil of 100 turns has dimensions of 20.0{\rm cm} by 50.0{\rm cm} . The plane of the coil is rotated from a position where it makes an angle of 36.0^\circ with a magnetic field of 1.70{\rm T} to a position perpendicular to the field. The rotation takes 9.00×10?2{\rm s} . What is the average emf induced in the coil?