A square surface 3 m x 3 m lies in a vertical line in water pipe its u...
Hydrostatic force = Density of water × gravity × height ×Area ÷ 2
F= 1*9.8*3*3*3/2= 132.3
A square surface 3 m x 3 m lies in a vertical line in water pipe its u...
Calculation of Hydrostatic Force on a Square Surface in Water Pipe
Given:
- Square surface dimensions: 3 m x 3 m
- Surface lies in a vertical line in water pipe
- Upper edge of the surface is at water surface
Assumptions:
- The water is static
- The square surface is completely submerged in water
- The water is incompressible
Hydrostatic Force Calculation:
- Hydrostatic force is the force exerted by a fluid on a surface due to the pressure exerted by the fluid
- The hydrostatic force on the square surface can be calculated using the formula: F = PA, where P is the pressure exerted by the fluid, A is the area of the surface, and F is the hydrostatic force on the surface
Calculation of Pressure:
- Pressure at any point in a fluid at rest is given by the formula: P = ρgh, where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth of the point from the water surface
- In this case, the square surface is completely submerged, so the pressure on the surface is the same as the pressure at the depth of the surface, which is 3 m
Calculation of Area:
- The area of the square surface is simply the product of its length and width, which is 3 m x 3 m = 9 m²
Putting it all together:
- Pressure at the depth of the square surface = ρgh = 1000 kg/m³ x 9.81 m/s² x 3 m = 29430 Pa
- Hydrostatic force on the square surface = PA = 29430 Pa x 9 m² = 264870 N
Conclusion:
- The hydrostatic force on the square surface in the water pipe is 264870 N.
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