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ENGG252 (DB225) Engineering Fluid Mechanics

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A steady, incompressible, two-dimensional velocity field is given by V = (u, v) = (2xy+1)i + (-y^2-0.6)j where the x- and y-coordinates are in meters and the magnitude of velocity is in m/s. The angular velocity of this flow is
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Consider a

6.32-m-diameter spherical gate holding a body of water whose height is equal to

the diameter of the gate. Atmospheric pressure acts on both sides of the gate.

The horizontal component of the hydrostatic force acting on this curved surface

is

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A rectangular plate

with a width of 16 m and a height of 12 m is located 4 m below a water surface.

The plate is tilted and makes a 35

°

angle with the horizontal. The resultant

hydrostatic force acting on the top surface of this plate is

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A vertical

rectangular wall with a width of 20 m and a height of 12 m is holding a

9.185-m-deep water body. The line of action

yp

for the resultant hydrostatic force on this wall is (disregard the atmospheric

pressure)

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Consider the vertical

rectangular wall of a water tank with a width of 5 m and a height of 9.85 m. The

other side of the wall is open to the atmosphere. The resultant hydrostatic

force on this wall is

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A 1.8-m-diameter and

1.4-m-long cylindrical container contains a fluid with a specific gravity of

0.73. The container is positioned vertically and is full of the fluid.

Disregarding atmospheric pressure, the hydrostatic force acting on the top and

bottom surfaces of this container, respectively, are

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A vertical

rectangular wall with a width of 20 m and a height of 12 m is holding a

9.185-m-deep water body.  The resultant

hydrostatic force acting on this wall is

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The pressure

difference between the top and bottom of a water body with a depth of 10 m is

(Take the density of water to be 1000 kg/m

3.)

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The absolute pressure

in a tank is measured to be 65 kPa. If the atmospheric pressure is 100 kPa, the

vacuum pressure in the tank is

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A 2-m-long and

3-m-wide horizontal rectangular plate is submerged in water. The distance of

the top surface from the free surface is 3 m. The atmospheric pressure is 95

kPa. Considering atmospheric pressure, the hydrostatic force acting on the top

surface of this plate is

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