1. A metal plate determined by y = submerged in water as show. Find the total hydrostatic force on the plate. You may leave the density of water as p and gravity as g. Give exact answer. (20,25) Gusten Lo weter level metal plate 16

Q: The dam in Fig. P is a quarter circle 50 m wide into thepaper. Determine the horizontal and vertical…

A: Given: The width of the dam, w = 50 m The radius of the dam, r = 20 m

Q: The zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the…

A: Consider the center of the semicircle as the origin and the x-axis along the bottom of the dam.…

Q: 1 Calculate the resultant of hydrostatic force on the gate. What vertical force P is necessary to…

A: Hydrostatic pressure is only function of depth, not an area but hydrostatic force is a function of…

Q: 3 Calculate the volume if it is v1=1.5 L, P1= 100 Kpa , p2= 50 kpa.

A: Given volume at 1 = 1.5L Pressure at 1 = 100kpa Pressure at 2 = 50kpa  Volume at 2 = x L (say)

Q: Q-5 The dam in Fig. is a quarter circle 50 m wide into the paper. Determine the horizontal and…

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Q: 3. The gate shown opens and closes automatically. At what depth of water H will it open. Neglect the…

A: Dear student,                       According to the guidelines I am allowed to answer only one…

Q: The floodgate of à dam is ih the Jo adi hydrostatic force experienced by the floodgate if the top of…

A: Given: A dam of  parabola shape of 20 ft tall and 10 ft wide at the the topand situated at 50 ft…

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: A dam 6m on top, 12m at the bottom and 20m high has water 15m depth acting on its vertical side. 1.…

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

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Q: Q2: calculate the percentage of the cylinder(m=2kg) that floats in the water tank shown below if the…

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

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

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Q: Find the density of a metal sphere if it floats at the interface of mercury and water in such way…

A: Free body diagram of the body for the above condition is

Q: 3. hydrostatic force on each of the four sides. A cuboid tank 8 m long, 4 m wide, and 2 m high is…

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Q: B3. A circular plate of diameter 2.25 m is vertically placed in water in such a way that the centre…

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Q: 1.) Find the total hydrostatic force (kN) acting on one side of the gate. 2 m

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

Q: A special closed tank as shown contains water, if the pressure of the air is 1000 kPa, what is the…

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

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Q: 2. An open tank contains water up to a depth of 2 m and above it an oil of sp. gr. 0.9 for a depth…

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Q: 3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular…

A: Given  Base of triangle = 2m, Height of triangle =3m, θ=600  Depth of center of pressure,…

Q: Q2) ) If the vertical component of the hydrostatic force on the gate BC shown in fig.2 is 1200 kN…

A: Assume that width of the gate is w and vertical component of force act on face BC is 1200kN . So…

Q: 3. Calculate the volume if it is v1=1.5 L, P1= 100 Kpa , p2= 50 kpa

A: Given data: V1 =1.5L P1=100 kPa P2=50 kPa Need to determine the volume at state 2.

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

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Q: Density of water = 1000 kg/m³ Determine the pressure at the point 3? %3D

A: Given data P = Patm = 101.325 kpa V1 = 8.22 m/s Density of water = 1000 kg/m3 Height at point 3 from…

Q: At what depth below the surface of the oil, relative density 0.84 will produce a pressure of 120…

A: Density of the oil is ρ=γρw=0.84×1000=840 kg/m3 Here ρw is the density of water. The pressure is…

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: 3- Find the total pressure and position of center of pressure FREE WATER SURFACE on a triangular…

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Q: 1 Calculate the resultant of hydrostatic force on the gate. What vertical force P is necessary to…

A: Given,  Weight of the gat e, W =800 N Width of the gate, b =1.6 m

Q: 1- The flow of water from a reservoir is controlled by a5-ft-wide L-shaped gate hinged at point A,…

A: Width W = 5 ft Height h = 12 ft

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: consider the figure shown. Determine the pressure at point A if the tank contains a liquid with…

A: given data;⇒specific gravity of liquid (SG)liq=0.957⇒density of mercurry(ρHg)=13550kg/m3…

Q: A wood cube 3 cm on a side floats level on water with just 1.5 mm of the cube showing above the…

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Q: 1. Llyn Cau in Snowdonia, Wales, is a 35.0-m deep glacial lake popular among outdoor swimmers. (a)…

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

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Q: 2) The tank in the figure shown has a 4-cm diamter plug which will pop out if the hydrostatic force…

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Q: 1.5 m B 2 m

A: The resultant force by the fluid on the object is known as hydrostatic force. The location of the…

Q: right cylindrical object has a diameter of 1526 mm and a height of 2.1m. The density of water is…

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Q: A vertical plate is submerged in water and has the shape as seen in the picture. Using the fact that…

A: Given data, Density of the water, ρ = 62.5 lb/ft3 To determine, the hydrostatic force in the…

Q: A cubical buoy (2 m each side) weighs 687N and is anchored to the sea floor with a cable. The buoy…

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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: Q3. The tank shown is filled with water. Find the imaginary free surface line, indicating its angle,…

A: Given: The acceleration, a = 6 m/s^2 The depth of water in tank, d = 4 m

Q: Q-5 The dam in Fig. is a quarter circle 50 m wide into the paper. Determine the horizontal and…

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

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Q: Question 1 As shown, water (15°C) is in contact with a square panel; d- 1.2 m and h= 2.5 m.…

A: Given:Square panel;d=1.2 mh= 2.5 m

Q: A open tank contains water upto a depth of 2 m and above it an oil of specific gravity 0.9 for a…

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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.