Relative Equilibrium of Liquids Sample Problems

An open cylindrical tank 1.20 m in diameter and 2 m high contains 1.3 m deep of water. The tank is rotated about its own vertical axis at 90 rpm. How much water is spilled in liters?

A. 130

B. 160

C. 110

D. 180

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Problem

An open cylindrical tank 1.20 m in diameter and 2 m high contains 1.3 m deep of water. The tank is rotated about its own vertical axis at 120 rpm. How much water is spilled in liters?

A. 690

B. 710

C. 730

D. 650

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Problem

An open cylindrical tank 1.20 m in diameter and 2 m high contains 0.8 m deep of water. The tank is rotated about its own vertical axis at 120 rpm. How much water is spilled in liters?

A. 105.87

B. 136.98

C. 124.12

D. 156.98

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Height of tank to avoid spillage (November 2018) - GERTC+

Open tank containing water and rotated about its axis.

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Volume spilled on an open tank (November 2019) - GERTC+

Open cylindrical tank 2/3 full of water.

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Closed Vessel

Force on top of a closed tank (November 2019)- GERTC+

Closed tank filled with water and rotated about its axis.

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Force on top of a closed tank (November 2019)- GERTC+

Closed tank filled with water and rotated about its axis.

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Situation

A closed cylindrical vessel 1.2 m in diameter, 1.8 m high and 2/3 full of water has a small hole at the center of the top cover. If it is rotated at 90 rpm.

Compute the maximum pressure at the bottom of the tank.

A. 21.54 kPa

B. 19.93 kPa

C. 15.63 kPa

D. 32.56 kPa

Compute the minimum pressure at the bottom of the tank.

A. 3.94 kPa

B. 2.54 kPa

C. 5.69 kPa

D. 6.98 kPa

Determine the discharge through a 25-mm-sharp-edged orifice at the bottom of the vessel located 300mm from the vertical axis of the blinder vessel. C = 0.60.

A. 2.56 L/s

B. 3.25 L/s

C. 1.17 L/s

D. 1.87 L/s

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