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.