1. a 1500 rpm, 8 hp motor is to be used to lift a load. the screw has an outside diameter of 2 inches, a coefficient of friction of 0.1, a frictionless collar, and standard acme threads. a) if the screw has a standard pitch, what is the speed of the lift? b) how much load can the lift raise? c) does the screw need a brake when at rest?