A plate in the shape of a triangle is submerged vertically and the base which is 3 ft long is in the surface of the water. Find the altitude of the triangle if the force due to the water pres- sure against the face of the plate is 50w where w is the weight per cu. ft. of water.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.5: Vectors: A Geometric Approach
Problem 45PS
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I need a graph of the question #5 and a step by step solution, so i can review it. its topic is about force of fluid pressure
Dmergeu vertically so that its
10 above the base and 2 ft below the surface of the
water, find the force against one side of the plate.
4. Calculate the force on a trapezoidal gate in a dam such
that the top of the gate is 2 ft below the surface of the water,
the top of the gate is 10 ft long, the bottom is 6 ft long and
the remaining sides have lengths 2 5 ft.
5. A plate in the shape of a triangle is submerged vertically and
the base which is 3 ft long is in the surface of the water. Find
the altitude of the triangle if the force due to the water pres-
sure against the face of the plate is 50w where w is the weight
per cu. ft. of water.
6. The outlet of a reservior closes a cricular hole in the side.
Find the force on the outlet gate if the hole is 4 ft in dia-
meter and its center is 40 ft below the water level.
7. An elliptical plate, major axis 6 units, minor axis 4 units, is
submerged vertically until its center is 2 units below the sur-
face and the major axis is horizontal, Find the force on one
side of the plate.
Transcribed Image Text:Dmergeu vertically so that its 10 above the base and 2 ft below the surface of the water, find the force against one side of the plate. 4. Calculate the force on a trapezoidal gate in a dam such that the top of the gate is 2 ft below the surface of the water, the top of the gate is 10 ft long, the bottom is 6 ft long and the remaining sides have lengths 2 5 ft. 5. A plate in the shape of a triangle is submerged vertically and the base which is 3 ft long is in the surface of the water. Find the altitude of the triangle if the force due to the water pres- sure against the face of the plate is 50w where w is the weight per cu. ft. of water. 6. The outlet of a reservior closes a cricular hole in the side. Find the force on the outlet gate if the hole is 4 ft in dia- meter and its center is 40 ft below the water level. 7. An elliptical plate, major axis 6 units, minor axis 4 units, is submerged vertically until its center is 2 units below the sur- face and the major axis is horizontal, Find the force on one side of the plate.
Physical Applications of the Definite Integral
371
3. If the plate in Problem 2 is submerged vertically so that its
vertex is above the base and 2 ft below the surface of the
water, find the force against one side of the plate.
4. Calculate the force on a trapezoidal gate in a dam such
that the top of the gate is 2 ft below the surface of the water,
the top of the gate is 10 ft long, the bottom is 6 ft long and
the remaining sides have lengths 2 5 ft.
5. A plate in the shape of a triangle is submerged vertically and
the base which is 3 ft long is in the surface of the water. Find
the altitude of the triangle if the force due to the water pres-
sure against the face of the plate is 50w where w is the weight
per cu. ft. of water.
6. The outlet of a reservior closes a cricular hole in the side.
Find the force on the outlet gate if the hole is 4 ft in dia-
meter and its center is 40 ft below the water level.
7. An elliptical plate, major axis 6 units, minor axis 4 units, is
submerged vertically until its center is 2 units below the sur-
face and the major axis is horizontal, Find the force on one
side of the plate.
8. Find the force on one side of a plate bounded by x y? and
X = 2- y? which is submerged vertically in a liquid and the
liquid is just covering the plate.
%3D
hos for its vertical cross section an
Transcribed Image Text:Physical Applications of the Definite Integral 371 3. If the plate in Problem 2 is submerged vertically so that its vertex is above the base and 2 ft below the surface of the water, find the force against one side of the plate. 4. Calculate the force on a trapezoidal gate in a dam such that the top of the gate is 2 ft below the surface of the water, the top of the gate is 10 ft long, the bottom is 6 ft long and the remaining sides have lengths 2 5 ft. 5. A plate in the shape of a triangle is submerged vertically and the base which is 3 ft long is in the surface of the water. Find the altitude of the triangle if the force due to the water pres- sure against the face of the plate is 50w where w is the weight per cu. ft. of water. 6. The outlet of a reservior closes a cricular hole in the side. Find the force on the outlet gate if the hole is 4 ft in dia- meter and its center is 40 ft below the water level. 7. An elliptical plate, major axis 6 units, minor axis 4 units, is submerged vertically until its center is 2 units below the sur- face and the major axis is horizontal, Find the force on one side of the plate. 8. Find the force on one side of a plate bounded by x y? and X = 2- y? which is submerged vertically in a liquid and the liquid is just covering the plate. %3D hos for its vertical cross section an
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