Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If the tank contains water to an elevation of 1.5 m above the center of the hemisphere, calculate the vertical and horizontal forces. Water 1.5 m ol0.6 m M

Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If the tank contains water to an elevation of 1.5 m above the center of the hemisphere, calculate the vertical and horizontal forces. Water 1.5 m ol0.6 m M

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.113P: Calculate the resultant force caused by the water acting on the parabolic arch dam. The water levels...

See similar textbooks

Related questions

Q: QI: In Figure below find the resultant pressure force and the depth of the centre of pressure on the…

A: GivenThe depth of the centre of pressure D=4ftCircular hole diameter d=0.9ftspecific gravity…

Q: A triangular lamina is immersed vertically in water in such a way that its 6m wide horizontal base…

Q: 2. water qurface A lismradius The corner of a floating body has a quarter cylinder AB having a…

A: The pressure exerted by the fluid at a point which is located at a depth of h from the surface is…

Q: Problem (3) Compute the horizontal and vertical components of the hydrostatic force on the…

Q: A semicircular plate of radius 5ft rests vertically on its diameter at the bottom of a pool filled…

Q: In the pressurized oil tank (p = 60 kPa gage), a triangular gate ABC is pivoted along the lower…

Q: PROBLEM 2: A rectangular plane, 1.2 m by 1.8 m is submerged in water and makes an angle of 30° with…

Q: The triangular gate shown is equilateral. Find the magnitude of the resultant force exerted by the…

Q: A plain area (5 m by 5 m) is submerzed in water in such a way that its centroid of area is at a…

A: To Find : The total force acting on the plane area. Given : The area of plane is A=5 m by 5 m .…

Q: A vessel, cylindrical in shape and closed at the top and bottom, contains water upto a height of 700…

Q: Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of tank. If…

A: Given:Diameter of hemisphere, d=0.6 mElevation of water above the centre of the hemisphere, x¯=1.5…

Q: A vertical bulkhead is 2 metres wide and 3.7 metres high. It has fresh water on one side to a depth…

A: Draw sketch of door with forces on it

Q: a conical tank having a height of 5ft and base of 12 in radius contains 0.7ft^3 of water. How much…

A: GIVEN DATA HEIGHT h=5ft Radius r=12in = 1ft ALready contain water = 0.7 ft3 WE HAVE TO FIND AMOUNT…

Q: Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If…

A: Given:d=0.6 mhg=1.5 m

Q: Curved panel BC shown in the figure is a 60 arc, perpendicular to the bottom at C. If the panel is 5…

A: Given data: Radius r=3 m Angle θ=60° wide w=5 m

Q: Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If…

Q: The cylinder shown in the figure extends 10 ft into the paper. If the cylinder has the radius of 4…

A: Length of the cylinder, L=10 ft Radius of cylinder, R= 4 ft Specific gravity of oil, s.g.=0.85

Q: A plain area (5 m by 5 m) is submerzed in water in such a way that its centroid of area is at a…

Q: Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If…

Q: A vertical bulk head is 2 meters wide and 3.7 meters high. It has fresh water on one side to a depth…

A: Assuming the door separates two fluids and the hinge of the door is at bottom. Assuming see water…

Q: A trough is filled with a liquid of density 840 kg/m3 . Theends of the trough are equilateral…

A: Let us draw the trough as shown below. Generally, In an equilateral triangle a perpendicular from a…

Q: Gate AB in Fig. of pressure. is 1.0 m long and 0.9 m wide. Calculate force F on the gate and the…

Q: The tank in Fig. 2/is 3 m wide into the paper. Compute the hydrostatic (a) horizontal force…

Q: Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a tank. If…

Q: A rectangular gate 3 meters high and 1.2 meters wide is hinged at the top. A force to keep the gate…

Q: Q3:B) A rectangular gate (length 3m, wide 1m) inclined at 50⁰ with the horizontal level and hinged…

Q: 23

Q: 3.2 Figure 2 show a vertical flat plate which is fully submerged in water. The plate is 2 in length…

A: Given:l=2 mw=1 m

Q: Q1) If the vertical component of the hydrostatic force on the gate BC shown in fig.1 is 1200…

A: GIVEN DATA- A gate BC given we have to calculate all three point

Q: 3.6 A 125-mL cube of solid oak is held submerged by a tether as shown. Calculate the force of the…

Q: 4. Find the force on the following triangular submerged plate in water and location of its center of…

A: Introduction: Hydrostatic forces are the result of a liquid's pressure loading acting on submerged…

Q: (b) One end of a rectangular tank is 1.5 m wide by 2 m deep. The tank is completely filled with oil…

A: given:width, b=1.5 mdepth, d=2 mdensity of oil, ρo=920 kg/m3

Q: Find the magnitude and location of the force acting on the a vertically mounted flat triangular gate…

Q: A solid cylinder (SG = 0.6) of diameter 4 meters has a height of 3 meters. Find MG for cylinder when…

Q: 14 ft long gate as shown in Fig.is a quarter circle and is hinged at H. Neglecting atmospheric…

Q: B) A rectangular gate (length 3m, wide 1m) inclined at 50⁰ with the horizontal level and hinged at…

A: Length of the gate, L==3 mWidth of the gate, w=1 mInclination angle between the gate and horizontal…

Q: 02: A square (2.75m x 2.75m) lies in a vertical plane. Calculate the distance between the center of…

Q: Calculate the resultant of hydrostatic force on the gate. What vertical force P is necessary to lift…

A: Concepts of hydrostatic forces on submerged bodies will be used in this question. Hydrostatic force…

Q: The cylinder shown in the figure extends 8 ft into the paper. If the cylinder has the radius of 4…

Q: 7. An 8 ft. square gate lies in a vertical plane. If one of the diagonal of this gate is vertical…

A: Given: Side length of the square plate, a= 8 ft= 2.4384 m Distance between center of the gate and…

Q: A full cylindrical tank having a diameter equal to its height contains water with a total mass of…

Q: The cylinder shown in the figure extends 8ft into the paper. If the cylinder has the radius of 4 ft,…

Q: The triangular gate shown in the figure has its 6-ft side parallel and 30 ft below the water…

A: Given: The base of the triangular gate is b = 6 ft. The total depth of the triangular gate is H =…

Q: Problem (2) Neglecting friction, find the horizontal force of the water (N) on the horizontal bend…

Q: The tank of water shown below is 15 cm body motion at 9 m/s² in x-direction (right) and 2 m/s in…

A: The above liquid is subjected to acceleration in x direction and z direction, thus it is subjected…

Q: A right circular cylindrical tank of depth 12 ft. and radius 4 ft. is half full of oil weighing 60…

Q: The Figure below shows a dam 30.5 m long that retains 8 m of fresh water and is inclined at an angle…

Q: Q3:B) A rectangular gate (length 3m, wide 1m) inclined at 50⁰ with the horizontal level and hinged…

Q: (b) One end of a rectangular tank is 1.5 m wide by 2 m deep. The tank is completely filled with oil…

Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Please explain how to calculate the area for each shape and the horizontal and vertical force

Example: A hemisphere projection of diameter 0.6 m exists on one of the vertical sides of a
tank. If the tank contains water to an elevation of 1.5 m above the center of the hemisphere,
calculate the vertical and horizontal forces.
Water
1.5 m
o0.6 m
N
立

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.
Calculate the resultant force caused by the water acting on the parabolic arch dam. The water levels are 16 ft on the upstream side and zero on the downstream side. For water, use =62.4lb/ft3.
The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.
A rectangular car is 3 m. long by 1.5 m wide and 1.5 m deep. If friction is neglected and the car rolls down a plane with an inclination of 20 degrees, what is the inclination of the water surface if the car contained 0.60 m depth of water when the car was horizontal?
A triangular trough whose the edges are 5, 5, and 8 m long is place vertically in water with its longest edge uppermost, horizontal, and 3 m below the water level. Calculate the force on a side of the plate. A.235.2 kN B. 470.4 kN C. 940.8 kN D. 1,881.6 Kn The answer here is B but I dont know the solution.
An open cubic tank of side length 2 m is completely filled with water. If the surface of the water and the outside of the tank are subject to atmospheric pressure, what are the hydrostatic forces acting on: Each side of the tank? The base of the tank?
A closed tank whose bottom is 18 inches in diameter is filled with three liquids: 4 inches of carbon tetrachloride (SG=1.59), 2 inches of water and 12 inches of syrup (SG=1.31). The air chamber in the tank is pressurized at 1296 psf. d. Apply the PANEL EQUATIONS to determine the magnitude, direction and location of the total hydrostatic force acting at the bottom of the tank.
Derive the expression for the hydrostatic force on a vertical plane surface?
Calculate the fluid force on one side of a 5 ft by 5 ftsquare plate if the plate is at the bottom of a pool filled with waterto a depth of 8 ft anda. lying flat on its 5 ft by 5 ft face.b. resting vertically on a 5-ft edge.c. resting on a 5-ft edge and tilted at 45° to the bottom of the pool
11. A metal plate has the shape of an equilateral triangle with a side length of 2 meters. It is submerged verticallyin water so that the base of the triangle is 5 meters below the surface of the water. How much hydrostaticforce is exerted against the plate due to the hydrostatic pressure of the water? this is the answer but I'm sure how to solve for it F = ρg(5sqrt(3) − 1) N
A 1-kg cube of wood floats in an upright position in fresh water. If a side of the cube measures 12.5 cm, determine the pressure acting at the bottom of the cube due to the water. How deep is the cube floating?
Calculate the depth of the center of pressure for vertical rectangular plate having a height h = 10ft and base b = 5ft, and submerged in a liquid with its base at the liquid surface. If the upper base of the vertical rectangular plate given in the example problem is submerged by 12ft below the water surface, determine the location of the hydrostatic force and center of pressure. Answer should be (53,040 lbf and 17.4902ft)