A hoist consists of a drum 24 in. in diameter fastened to a gear wheel with 80 teeth. The gear wheel is turned by a double-threaded worm Assume a mechanical efficiency of 60 percent. The hoist can raise a 4,000 lb weight on a 7/8 inch rope at the rate of 100 fpm. What horsepower is being supplied at the shaft of the work gear & what torque is being supplied at the shaft of the worm gear, in ft-lb?