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? Also, what is the corresponding rotational speed of the screws (rad/sec)?
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? Also, what is the corresponding rotational speed of the screws (rad/sec)?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text: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? Also, what is the corresponding rotational speed of the screws (rad/sec)?
Motor
Gear
4 in Major
Diameter
Power Screws
70 Ton
Sluice Gate
He = 0.24
v 3 ft/min
Ans.
P = 59.37 hp
W₁ = 5.655 rad/s
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