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?

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?

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 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...

See similar textbooks

Related questions

Q: Find the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in…

A: Given:Diameter of plate=1.5 md=1.5 mDistance between centre of plate and free water surface=3 mh¯=3…

Q: ensity is 1000 kg/m³), determin

Q: A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of…

A: Given Data

Q: Consider the hemispherical gate attached to a cylindrical buoy as shown in the figure. The thicknes…

A: Given: The diameter of cylindrical buoy, D = 4 m The radius of gate, r = 1 m

Q: A tank partially filled with water and pressurized to 6.8 psig has a circular gate in the side, 0.6…

Q: A rectangular parallelepiped tank measuring 40cm x 30cm x 20cm is filled with water. Determine the…

A: Given;- dimension of tank = 40cm x 30cm x20cm and assuming a depth of 20cm To find:- a) When the…

Q: A rectangular gate which is inclined 90-degrees with respect to the horizontal and has a 3.5 m width…

Q: A glass tube of internal diameter 3 mm is immersed in mercury. The angle of contact of mercury with…

Q: A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes…

Q: A glass tube of internal diameter 3mm is immersed in mercury. The angle of contact of mercury with…

Q: Consider a 6-m-long, 6-m-wide, and 2.3-m-high above-ground swimming pool that is filled with water…

Q: 1-kg cube of wood floats in an upright position in fresh water. If a side of the cube measures 12.5…

A: here given data Mass m = 1 kg Side of cube Length = L = 12.5 cm = 0.125 m Density of water =…

Q: tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The…

Q: A long, solid cylinder of radius 2 ft hinged at point A is used as an automatic gate, as shown in…

A: Given datar=2fth=15 fthinged at point ATo find1) hydrostatic force2) weight of cylinder per ft…

Q: If the base of the triangles is 1m below the surface of 20 degrees Celsius of water, determine the…

A: Givenx=1mb=4mh=3m

Q: A trough, 10meters long is filled with a liquid of density 840 kg/m3. Its cross section is in the…

A: GivenL=10mρ=840 kg/m3b=4mh=5md=4m

Q: 15 ft 2 ft A

Q: Hydrostatic Force on Plane Surface. An open rectangular tank is 7 m high and has a square base 5 m…

A: Height of the rectangular tank, Htank= 7 m Side of the square base, B= 5 m Tank is half-filled with…

Q: circular plate of diameter 1.5 m is vertically placed in water in such a way that the centre of the…

A: Given Data D=1.5 m Centre of plate is 3.35 m below free surface

Q: A barrel in the form of a frustum of a cone with a radius of 3m and 6m at the bottom and at the top…

A: Dear Students

Q: A submerged horizontal flat plate is suspended in water by a string attached at the centroid of its…

A: As per the question, the axis passes through the centroid of the horizontal flat plate and the plate…

Q: A car plunges into a lake during an accident and lands at the bottom of the lake on its wheels. The…

Q: he total pressure force of a square plate is 25 kN, placed vertically in water so that the center of…

A: Given Data: Pressure force, F=25 kN Center of the plate below the free surface of the water, h=1.5…

Q: A long solid cylinder of radius 0.8 m hinged at point A is used as an automatic gate, When the water…

A: The hydrostatic forces acting on the vertical and horizontal plane surfaces as well as the weight of…

Q: A glass tube of internal diameter 3 mm is immersed in mercury. The angle of contact of mercury with…

A: A glass tube with an internal diameter of 3 mm is immersed in mercury, with a contact angle of 130…

Q: If the base of the triangles is below the surface of 20 degrees Celsius of water determine the…

A: Givenh=4mb=3m

Q: A swimming pool is filled with 2 m of water. Its bottom is square and measures 4 m on a side. Two…

A: Answer: The force of the water on (a) bottom: 313.92 kN (b) a vertical side: 99.11 kN (c) the 45°…

Q: A room in the lower level of a cruise ship has a 32-cm-diameter circular window. If the midpoint of…

A: The area of the circular window

Q: A cylindrical tank 2m diameter and 4 m long, with its axis horizontal, is half filled with water and…

Q: 4. A 3-m-long and 1-m-wide rectangular gate AB is hinged at point A. The gage reads -110 mmHg while…

Q: Calculate the depth of the center of pressure for vertical rectangular plate having a height h =…

A: Depth of the center of gravity is x=12 ft+5 ft=17 ft Area of the plate is A=bh Moment of inertia…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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:
1. Each side of the tank?
2. The base of the tank?

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 3

VIEW

Step by step

Solved in 3 steps

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.
Topic: Fluid Statics and its Applications
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)
A rectangular parallelepiped tank measuring 40cm x 30cm x 20cm is filled with water. Determine the force acting on each face of the tank if (a) it is open at the top and (b) closed at the top.
A circular plate of diameter 1.5 m is vertically placed in water in such a way that the centre of the plate is 3.35 m below the free surface of water. Find the following. Total Pressure on the circular plate (in N) Answer for part 1 Centre of Pressure on the circular plate (in m) Answer for part 2
1. Hydrostatic Force on Plane Surface. An open rectangular tank is 6 m high and has a square base 4 m on a side. If the tank is half-filled with fresh water (density is 1000 kg/m'), determine (a) the total hydrostatic force on a vertical side, in kN and (b) the location of the center of pressure as measured from the liquid surface, in cm. Draw the side view of tank showing the hydrostatic force F and the distance, yp. Is I + Ad a. Magnitude: F = yh,A b.Direction: Perpendicular to the Area c. Location: y, === S.
A cylindrical tank 2m diameter and 4 m long, with its axis horizontal, is half filled with water and half filled with oil of density 880 kg/m3. Determine the location of the hydrostatic force from the top of the cylinder. Express your answer in two decimal place and in terms of m.
A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.
A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.
4. A 3-m-long and 1-m-wide rectangular gate AB is hinged at point A. The gage reads -110 mmHg while the right tank is filled -110 mmHg with oil. Determine the horizontal hydrostatic force at point B (FB) that is required to be applied to keep the gate Water closed. Assume that the density of water and oil are 1000 kg/m3 and 750 kg/m³, 8 m A respectively. Oil 3 m FB B
A long solid cylinder of radius 0.8 m hinged at point A is used as an automatic gate, When the water level reaches 5 m, the gate opens by turning about the hinge at point A. Determine (a) the hydrostatic force acting on the cylinder and its line of action when the gate opens and (b) the weight of the cylinder per m length of the cylinder.
Consider a 6-m-long, 6-m-wide, and 2.3-m-high above-ground swimming pool that is filled with water to the rim. Determine the hydrostatic force on each wall in Newtons.