A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 3 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 Ib/ft3.) D dx = Ib

A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 3 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of water is 62.5 Ib/ft3.) D dx = Ib

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...

See similar textbooks

Related questions

Q: an open tank has the shape of a right circular cone. the tank is 5ft across the top and 20ft high.…

A: Given that the tank is 5 ft across the top and 20 ft high. Let r be the radius of an infinitesimal…

Q: An inverted conical tank with a height of 6 m and a base radius of 1.5 m is filled with milk, which…

Q: A wood log is approximately cylindrical with the dimensions of diameter of 1.5 feet and a height of…

A: Given that, A wood log is approximately cylindrical with the dimensions of a diameter of 1.5 feet…

Q: A hemispherical tank of radius 6 feet is positioned as in the figure below. How much work is…

Q: (b) What average pressure (in Pa) from her weight is exerted on the horizontal surface if her two…

Q: The volume V = (4/3)πr3 of a sphericalballoon changes with the radius.By approximately how much does…

A: To find the rate at which the volume changes, you must find the derivative of the volume function.…

Q: A closed right circular cylindrical tank made of s inch thick metal has an outer radius of 2 ft and…

A: solution:-(1)outer radius, r=2 ftheight, h=6 ftouter surface area of cylinder= 2πrh+2πr2…

Q: A force of 5 lbs is required to compress a 10 ft spring 2 ft from natural length. How much work is…

Q: A tank full of water is in the form of a rectangular parallelepiped 5 ft deep, 15 ft wide, and 25 ft…

A: The total work done by pumping part of the liquid in the container to any point P above it's top is:…

Q: Built around 2600 bce, the Great Pyramid of Giza in Egypt (Figure) is 146 m high and has a square…

A: Solution:GivenBuilt around 2600 bceThe Great Pyramid of Giza in Egypt is 146 m.A square base of side…

Q: The volume of the sphere is increasing at the rate of 6cm^3/hr. At what rate is its surface area…

A: Given that the volume of the sphere is increasing at the rate of 6 cm^3/hr. We have to find the…

Q: 5. Set up the integral for the total work it takes to pump the water to 10 ft above the…

A: To set up the integral to calculate the total work to pump the water 10 ft above the given tank.

Q: The surface area of a sphere increases at a rate of 66 m2/sec. Then the rate at which the radius…

Q: A spherical volume charge with a radius of 6cm has a charge density of 10 nC/m³. The total charge in…

A: The radius of the sphere r=6 cm=0.06 m Charge density ρ=10 nC/m3=10×10-9 C/m3 We have to find the…

Q: F. Determine the specific gravity of the substance having a volume of 9.85 ft x 13.12 ft x 59 ft if…

Q: A reinforced concrete wall footing is founded 6 ft below grade. If the footing supports a…

A: Require width and total depth is given as

Q: The surface area of a sphere increases at a rate of 64 m²/ sec. Then the rate at which the radius…

Q: A vertical plate is submerged in water and has the indicated shape. 5 ft 6 ft 5 ft 5 ft Express the…

Q: The surface area of a sphere increases at a rate of 90 m2/sec. Then the rate at which the radius…

Q: An open water tank shown below is being emptied by pumping the water up and over the top edge. How…

A: Work done = volume*density*distance

Q: Assuming no material is wasted, what is the largest possible volume for a cylindrical can…

A: the surface area of the cylinder is given by here we have

Q: A cylindrical swimming pool has a diameter of 32ft, the sides are 9ft high, and the depth of the…

A: Given: Depth=32ft nekgnt =9ft depth y= 7 ft weight of water =62.5

Q: A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown.…

Q: A copper wire 4 mm in diameter is evenly wound about a cylinder whose length is 24 cm and diameter…

Q: A trapezoidal plate with height h and bases a and 2a is submerged vertically in water as shown.…

A: Explanation of the solution is given below....

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

A: Please see the explanation below

Q: Let V be the volume of a pyramid of height 20 whose base is a square of side 8. Use similar…

Q: lb 3. A conical vessel is 12 ft across the top and 15 ft tall. If it contains a liquid weighing W…

A: For a cone the center of mass is located at height of h/4 from the circular end. Also, work done…

Q: A circular swimming pool has a diameter of 24m, the sides are 5m high, and the depth of the water is…

A: Question is solved.

Q: A spherical gas tank is 16 m in diameter. a) What is the capacity of the tank ?. b) The external of…

A: given, spherical tanks diameter = 16 m i. e. radius = 8 m

Q: Find the (i) radius of its base = 7 cm, height = 1.5 dm %3D (ii) area of base = 154 cm?, height =…

A: Given Depth of well =16m Diameter= 7m

Q: The surface area of a sphere increases at a rate of 84 m2/sec. Then the rate at which the radius…

Q: A vertical plate is partially submerged in water and has the indicated shape. 4 m 12 m Express the…

Q: The volume of the solid given by tl

A: Given, z=8-3x2+y2 z=x2+y22-2

Q: a very large cylindrical-shaped tank has a radius of 4 feet and a height of 15 feet. The tank is…

A: Given problem is : a very large cylindrical-shaped tank has a radius of 4 feet and a height of 15…

Q: h T 1

A: first we find radius of cone then find area of base of cone

Q: A cylinder has a base radius of 6ft and a height of 18ft. What is its volume in cubic ft, to the…

A: Given thatBase radius r = 6 ft.height h = 18 ft.volume of the cylinder is given byV =…

Q: 5. Set up the integral for the total work it takes to pump the water to 10 ft above the…

A: Since equation of circle is x2+y2=202 (1) If we draw a small cylinder with height…

Q: A hemisphere with a radius of 4 m is used to protect some plants. The thickness of the material is…

Q: A cylindrical can with no top has been made from 27(pi) square inches of metal. Express the volume…

Q: A cylindrical water tank 8 meters high with a radius of 2 meters is buried so that the top of the…

Q: The surface area of a sphere increases at a rate of 52 m²/sec. Then the rate at which the radius…

A: The surface area of sphere is given by A=4πr2

Q: A circular plate with radius 8 m is submerged vertically in water as shown. Express the hydrostatic…

Q: The surface area of a sphere increases at a rate of 95 m2/ sec. Then the rate at which the radius…

Q: The surface area of a sphere increases at a rate of 52 m2/sec. Then the rate at which the radius…

A: Let A is the surface area of Sphere.

Q: An anchor weighing 130lb in water is attached to a chain weighing 4lb/ft in water. Find the work…

Q: -ft-high and 5-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft…

Q: A cylindrical metal can is to be manufactured from a fixed amount of sheet metal.What is the height…

A: Cylinder : Let r be the radius of cylinder and h is height of cylinder then Curved surace…

Question

100%

A triangular plate with height 6 ft and a base of 8 ft is submerged vertically in water so that the top is 3 ft below the surface.
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Recall that the weight density of
water is 62.5 Ib/ft3.)
dx x
Ib
3

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the base diameter of a right circular cone that has a volume of 922.4 cubic centimeters and a height of 14.85 centimeters.
Cycling The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Figure 15)?
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. The frustum of a right circular cone has a larger base area of 40.0 square centimeters and a smaller base area of 19.0 square centimeters. The height is 22.0 centimeters. Find the volume. Round the answer to the nearest cubic centimeter.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a prism with a base area of 125 square inches and a height of 8 inches.
Solve these exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a prism that is 13.82 centimeters high and has an equilateral triangle base that has 9.08 centimeter sides. Round the answer to the nearest cubic centimeter.