The university of toledo, college of engineering's SAE car is powered by a 45 hp @3450rpm single cylinder honda 4-cycle gasoline engine. design a two speed transmission for a maximum speed of 87 mph. the vehicle is equipped with 15-inch tread dimeter tea tires. the top speed of first gear is a design decision that you must make but you need not design the case or shifting mechanism. design, two pairs of 20 degree full tooth spur gears for this application. specify the diametral pitch, the number of teeth on each gear, the pitch diameters, the center distance, the face width, and the material from which the gears are to be made.