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

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ESE Mechanical 2016 Paper 1: Official Paper
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  1. 49.05 kN
  2. 490.5 kN
  3. 981 kN
  4. 490 kN

Answer (Detailed Solution Below)

Option 2 : 490.5 kN
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Detailed Solution

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Concept:

Whenever a static mass of fluid comes into contact with a surface the fluid exerts force upon that surface. The magnitude of this force is known as the hydrostatic force or total pressure force.

The magnitude of hydrostatic force is given by F = ρgh̅A 

Where ρ = Density of the fluid, h̅ = Depth of center of gravity of the surface from free liquid surface, A = Area of the surface

Calculation:

F2 M.J Madhu 15.04.20 D13

Given, h = 10 m

h̅ = 10/2 = 5 m

Area per metre length = 10 × 1 = 10 m2                  

Force acting on vertical wall = ρ × g × h̅ × A = 1000 × 9.81 × 5 × 10 = 490500 N = 490.5 kN
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