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 00.6 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 00.6 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: A 1.5m semi cicular gate is submerged in oil having an SG of 0.95. its base is 2m from the surface…

Q: Find the position of center of pressure (in m) on a triangular plate of base 2 m and height 3 m…

Q: Semicircular plate Calculate the fluid force on one side of a semicircular plate of radius 5 ft that…

A: given:

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: Solve the following problems. 1.) A rectangular plate 12 ft long and 8 ft wide is submerged…

Q: B3. A circular plate of diameter 2 m is vertically placed in water in such a way that the centre of…

Q: Figure 3 shows the plan view (top view) of a pair of gates which are hinged at the water channel…

Q: The figure shows a gate having quadrant shape of radius 3 m. The length of the gate is 4 m. Find the…

A: Given, Radius of Gate, R=3m Length of Gate, L=4m Horizontal force, Fx→=ρgAh Area, A=3×4=12m2…

Q: A rectangular plate 1.1m x 1.75m is submerged in water and makes an angle of 30° with the…

A: Solution:

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

A: GIVEN DATA A HEMISPHERICAL GATE GIVEN WE HAVE TO FIND HORIZONTAL AND VERTICAL COMPONENT OF FORCES…

Q: In Fig. , curved section AB is 5 m wide into the paperand is a 60 ° circular arc of radius 2 m.…

Q: The tank in Fig. 1 is 3 m wide into the paper. Compute the hydrostatic (a) horizontal force…

A: width,w=3 mFor the horizontal force we consider the projected area of the curved surface.Depth of…

Q: Compute the depth of the center of pressure for a vertical triangular gate having a height "h" and a…

Q: Hi! Please show your correct and complete solution in this problem. Thanks! A triangular gate is in…

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

Q: Calculate the pressure at the bottom of the spherical tank, 3.6 m in diameter, filled with peanut…

A: Write the given data: d=h=3.6 mS=0.92Po=82 kPa

Q: Situation 9. The figure shows the water pressure acting on the sides of a dam that is 20-m long.…

A: tan θ =126=2⇒θ =63.435° Length of dam1 = 20mMagnitude of force F1= 12x 750 x 122+62 x20…

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: 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: ВЗ. A circular plate of diameter 3 m is vertically placed in water in such a way that the centre of…

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: 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 dam 30.5m long retains 8 m of fresh water and is inclined at an angle of 60 degrees. Calculate the…

A: Write the expression to obtain the length.

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: an isosceles triangle of 2m base and 3m altitude is immersed vertically in oild (sp gr.=0.85) with…

Q: A tank containing water is shown in the figure. Calculate resultant force acting on side ABCD of the…

A: Given data: γw=62.43 lb/ft3 Need to determine the total resultant force acting on side ABCD of the…

Q: The sides of a triangular area measure 2 m, 3 m, and 3 m, respectively. Calculate the force of water…

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: (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: Example: Figure shows a curved surface LM, which is in the form of a quadrant of a circle of radius…

A: Given Data : Radius of the gate : 3 m Width of the gate = 1 m Distance OM = 3 m LO = OM = 3 m

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

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: 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 tank contains water up to a height of 10 m. One of the sides of the tank is inclined. The angle…

A: Given: h = 10 m θ=60o W = 5 m

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: (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

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

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
o|0.6 m

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

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.
One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.
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
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?
1. A quarter of a circular gate 3 meters in diameter is inclined at an angle of 45 degrees. Sea water stands on one side of the gate to a height of 10 m above the center of the gate. Determine the total force on the gate and the location of the center of pressure.
The sides of a triangular area measure 2 m, 3 m, and 3 m respectively. Calculatethe force of water on one side of the area if the 2-m side is horizontal and 10 mbelow the surface and the triangle is on a 600-angle sloped upward. a) how far below the surface is the center of pressure of thehydrostatic force?
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.
A metal block 2 ft square and 10 in. deep is floated on a body of liquid which consists of an 8-in layer of water above a layer of mercury. The block weighs 120 lb/ft3. What is the position of the bottom of the block? If a downward vertical force of 500 lb is applied to the center of this block, what is the new position of the bottom of the block ?
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)
Derive the expression for the hydrostatic force on a vertical plane surface?
Calculate the force acting on a 30-cm diameter porthole of a ship if the center of the porthole is 14 m below water level.
A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)