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The total pressure hydrostatic force on a circular plate of 2m diameter, immersed horizontally in water at a depth of 1m is?
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The total pressure hydrostatic force on a circular plate of 2m diamete...
Calculation of Total Pressure Hydrostatic Force on a Circular Plate Immersed in Water


Step 1: Calculation of Hydrostatic Pressure

The pressure exerted by a fluid at a certain depth is known as hydrostatic pressure. The hydrostatic pressure can be calculated using the formula:


Hydrostatic Pressure = Density of Fluid x Acceleration due to Gravity x Depth


Where,


  • Density of Fluid = 1000 kg/m3

  • Acceleration due to Gravity = 9.81 m/s2

  • Depth = 1 m



Therefore, Hydrostatic Pressure = 1000 x 9.81 x 1 = 9810 Pa


Step 2: Calculation of Total Pressure Force

The total pressure force exerted on a circular plate can be calculated using the formula:


Total Pressure Force = Pressure x Area


Where,


  • Pressure = Hydrostatic Pressure (9810 Pa)

  • Area = π x (Diameter/2)2



Therefore, Area = π x (2/2)2 = 3.14 m2


Therefore, Total Pressure Force = 9810 x 3.14 = 30787.4 N


Step 3: Conclusion

The total pressure hydrostatic force on a circular plate of 2m diameter, immersed horizontally in water at a depth of 1m is 30787.4 N.
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