Two identical 4 in. major-diameter power screws (single-thread) with modified square threads are used to raise and lower an 70 ton sluice gate on a dam. Quality of construction and maintenance (including lubrication) are good, resulting in an estimated friction coefficient of only 0.1 for the screws. The thrust collars for the power screws have a mean diameter of 5.50 in and an effective friction coefficient of 0.24. Assuming that, because of gate friction, each screw must provide a lifting force of 36.4 tons, what power is required to drive each screw when the gate is being raised at the rate of 3 ft/min