Fluid Pressure Sample Problems

Sample Problems

Unit Pressure

Problem (November 2018)

Given the unit weight of air to be constant at 12 N/m³, determine the approximate height of a mountain, ...

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Problem (November 2019)

If the weight-density of mud is given by ..

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Problem (November 2019)

A column of mercury produces.... What is the equivalent ..

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Problem (November 2019)

If air had uniform unit weight of ...

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Problem (November 2019)

The oil on the left side of the tank shown has ...

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Situation (CE Board)

An open tank contains 5.7m of water covered with 2.8m of kerosene having a unit weight of 8 kN/m3. If the diameter of the tank is 1m.

  • Find the pressure at the interface of water and kerosene.

A. 36.25 kPa

B. 22.4 kPa

C. 28.74 kPa

D. 18.65 kPa

  • Find the pressure at the bottom of the tank.

A. 78.32 kPa

B. 86.36 kPa

C. 72.54 kPa

D. 63.25 kPa

  • Find the total force at the bottom of the tank.

A. 68.75 kN

B. 52.45 kN

C. 79.36 kN

D. 61.51 kN

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Hydraulic Press

Problem (November 2019)

A piston is used to support a load of ...

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Total Hydrostatic Pressure

Plane Surface

Problem (November 2018)

Force to raise the gate...

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Problem (November 2018)

Force on corner plate...

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Problem (November 2018)

Force to open the gate

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Situation (CE Board)

A triangular gate 0.9 m high, 2 m base flushed with the water surface.

  • Determine the total force acting on one side of the gate.

A. 2.458 kN

B. 2.963 kN

C. 2.877 kN

D. 2.649 kN

  • Determine the location of the center of pressure from the top.

A. 0.45 m

B. 0.55 m

C. 0.35 m

D. 0.65 m

  • Determine the eccentricity of the force on the gate.

A. 0.25 m

B. 0.15 m

C. 0.35 m

D. 0.05 m

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Situation (CE Board)

A vertical rectangular gate as shown in the figure is 2 m wide and h = 6 m high is hinged at the top has oil (sp. gr. = 0.84) standing H = 7 m deep on one side, the liquid surface being under a pressure of -18.46 kPa.

  • Compute the hydrostatic force acting on the gate.

A. 152 kN

B. 198 kN

C. 174 kN

D. 204 kN

  • How far is the force acting below the hinged?

A. 4.625 m

B. 4.705 m

C. 4.784 m

D. 3.569 m

  • How much horizontal force applied at the bottom is needed to open the gate?

A. 136.45 kN

B. 124.87 kN

C. 159.87 kN

D. 105.89 kN

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Curved Surface

Total force on a sector gate (November 2018)

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Component of force on sector gate: (November 2019)-

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