GATE 2019: Fluid Mechanics Quiz 4

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Question 1

The centre of pressure of a plane submerged surface

• AIs a point on the submerged area at which the resultant hydrostatic force is supposed to act
• BShould always coincide within the centre of submerged area
• CShould be at the centre of gravity of the plane surface
• DIs always below the centroid of area

Question 2

The water level in a dam is 10 m. The total force acting on vertical wall per metre length is:

• A49.05 kN
• B490.5 kN
• C981 kN
• D458.5 kN

Question 3

A circular plate 1.5m diameter is submerged in water with its greatest and least depths below the surface being 2m and 0.75m respectively. What is the total pressure (approximately) on one face of the plate?

• A12kN
• B16kN
• C24kN
• DNone of these

Question 4

A house-top water tank is made of flat plates and is full to the brim. its height is twice that of any side. The ratio of total thrust force on the bottom of the tank to that on any side will be:

• A4
• B2
• C1
• D0.5

Question 5

A tank of length, breadth and height in the ratio of 2:1:2 is full of water. The ratio of hydrostatic force at the bottom to that at any larger vertical surface is

• A1
• B2
• C3
• D4

Question 6

A cylindrical vessel of 1 m diameter has water in it to a height of 2 m. Oil of relative density 0.75 is kept over the water column for another 1 m. Above the oil, a dead weight of 7 kN, base diameter 1 m is placed. The total hydrostatic force and the ‘centre’ of pressure on a gate 30 cm in diameter placed along the vertical surface of the vessel such that the lowest point of the gate is on the base of the vessel will be? 

                                               

• A
• B
• C
• D

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