Total pressure on a 1 m × 1 m gate immersed vertically at a depth of 2 m below the free water surface will be

The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where IG = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface, and x = Depth of centre of gravity of the immersed surface from the liquid surface)

A

(IG/Ax̅) - x̅

B

(IG/x̅) - Ax̅

C

(Ax̅/IG) + x̅

D

(IG/Ax̅) + x̅

The depth of centre of pressure (h) for a vertically immersed surface from the liquid surface is given by (where $${I_{\text{G}}}$$ = Moment of inertia of the immersed surface about horizontal axis through its centre of gravity, A = Area of immersed surface and x = Depth of centre of gravity of the immersed surface from the liquid surface)

A

$$\frac{{{I_{\text{G}}}}}{{{\text{A}}\overline {\text{x}} }} - \overline {\text{x}} $$

B

$$\frac{{{I_{\text{G}}}}}{{\overline {\text{x}} }} - {\text{A}}\overline {\text{x}} $$

C

$$\frac{{{\text{A}}\overline {\text{x}} }}{{{I_{\text{G}}}}} + \overline {\text{x}} $$

D

$$\frac{{{I_{\text{G}}}}}{{{\text{A}}\overline {\text{x}} }} + \overline {\text{x}} $$

A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is
Hydraulics and Fluid Mechanics in ME mcq question image

Hydraulics and Fluid Mechanics in ME mcq question image

A

$$\frac{{{\text{b}}{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$

B

$$\frac{{{{\text{d}}^2}}}{{12\overline {\text{x}} }} + \overline {\text{x}} $$

C

$$\frac{{{{\text{b}}^2}}}{{12}} + \overline {\text{x}} $$

D

$$\frac{{{{\text{d}}^2}}}{{12}} + \overline {\text{x}} $$

The total pressure on a horizontally immersed surface is (where w = Specific weight of the liquid, A = Area of the immersed surface, and x = Depth of the centre of gravity of the immersed surface from the liquid surface)

A

wA

B

wx

C

wAx

D

wA/x

The total pressure on a horizontally immersed surface is (where w = Specific weight of the liquid, A = Area of the immersed surface and x = Depth of the centre of gravity of the immersed surface from the liquid surface)

A

wA

B

wx

C

wAx

D

$$\frac{{{\text{wA}}}}{{\text{x}}}$$

The location of centre of pressure, which defines the point of application of the total pressure force on the surface, can be calculated by applying the principle of moments according to which "sum of the moment of the resultant force about an axis is equal to the sum of the components about the same axis". The centre of pressure of a rectangular surface (of width 'w') immersed vertically in a static mass of fluid is at a depth of(where, y = depth of the liquid)

A

1/3y

B

2y/3

C

1/4y

D

3y/4

The location of centre of pressure, which defines the point of application of the total pressure force on the surface, can be calculated by applying the principle of moments according to which "sum of the moment of the resultant force about an axis is equal to the sum of the components about the same axis". The centre of pressure of a rectangular surface (of width 'w') immersed vertically in a static mass of fluid is at a depth of (where, y = depth of the liquid)

A

$$\frac{1}{{3{\text{y}}}}$$

B

$$\frac{{2{\text{y}}}}{3}$$

C

$$\frac{1}{{4{\text{y}}}}$$

D

$$\frac{{3{\text{y}}}}{4}$$

Total pressure on a 1m × 1m gate immersed vertically at a depth of 2 m below the free water surface will be

A

1000 kg

B

4000 kg

C

2000 kg

D

2500 kg

A tank of water has a gate in its vertical wall. The gate is 4 m high and 3 m wide. The top edge of the gate is 2 m below the surface of water. What is the hydrostatic force on the gate. Take specific weight of water as 10 kN/m3.

A

240 kN

B

360 kN

C

720 kN

D

480 kN

A rectangular lamina of width b and depth d is submerged vertically in water, such that the upper edge of the lamina is at a depth h from the free surface. What will be the expression for the depth of the centre of pressure?

A

$h + \frac{d}{3} × \frac{2h+d}{3h+2d}$

B

$h + \frac{d}{6} × \frac{3h+2d}{h+2d}$

C

$h + \frac{d}{3} × \frac{3h+2d}{2h+d}$

D

$h + \frac{d}{3} × \frac{3h+2d}{h+d}$

Total pressure on a 1 m × 1 m gate immersed vertically at a depth of 2 m below the free water surface will be

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