Please explain it thoroughly and show the complete solution 1.) A circular track is to be laid out. Find the radius if the track is to change direction by 20 degrees in a distance of 120 ft. 2.) Determine the diameter of a pulley which is driven at 112 rpm by a belt moving at 2.5 ft/s? 3.) A pulley with a diameter of 22 inches drives another pulley with diameter of 18 inches. If the larger pulley turns through 1 revolution, through what angle does the small turn? 4.) A train is travelling at the rate 35 mph on a curve of radius 1500 ft. Through what angle has it turned in 40 secs? 5.) How fast is an automobile traveling if its wheels, 32 inches in diameter are rotating at 850 rpm?