3. A 3-ft-long gate of uniform density is closed at 45° with respect to the interface between water and oil. The width of the gate (into the paper) is 5 ft. The specific gravity of oil is 0.8, where specific gravity is defined by the ratio of density with respect to the density of water at the same temperature. The gravitational acceleration is 32.2 ft/s². Note that Patm = 2116 lb/ft² and PH₂O = 1.94 slug/ft³. Ignore friction at the hinge. (a) Using the manometer reading, estimate the absolute pressure at the top of the tank (inside). (b) Evaluate the locations of centroid and center of pressure for the gate. (c) Calculate the minimum weight of the gate so that it is kept closed. hinge 3 ft 45° oil water 2 ft 3 ft

Elements Of Electromagnetics
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3. A 3-ft-long gate of uniform density is closed at 45° with respect to the interface between water and oil. The
width of the gate (into the paper) is 5 ft. The specific gravity of oil is 0.8, where specific gravity is defined
by the ratio of density with respect to the density of water at the same temperature. The gravitational
acceleration is 32.2 ft/s². Note that Patm = 2116 lb/ft² and PH₂O = 1.94 slug/ft³. Ignore friction at the hinge.
(a) Using the manometer reading, estimate the absolute pressure at the top of the tank (inside).
(b) Evaluate the locations of centroid and center of pressure for the gate.
(c) Calculate the minimum weight of the gate so that it is kept closed.
hinge
3 ft
45°
oil
water
2 ft
Transcribed Image Text:3. A 3-ft-long gate of uniform density is closed at 45° with respect to the interface between water and oil. The width of the gate (into the paper) is 5 ft. The specific gravity of oil is 0.8, where specific gravity is defined by the ratio of density with respect to the density of water at the same temperature. The gravitational acceleration is 32.2 ft/s². Note that Patm = 2116 lb/ft² and PH₂O = 1.94 slug/ft³. Ignore friction at the hinge. (a) Using the manometer reading, estimate the absolute pressure at the top of the tank (inside). (b) Evaluate the locations of centroid and center of pressure for the gate. (c) Calculate the minimum weight of the gate so that it is kept closed. hinge 3 ft 45° oil water 2 ft
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