1. A 2m-long and 3m-wide horizontal rectangular plate is submerged in water. The distance of the top surface from the free surface is 5m. The atmospheric pressure is 95kPa. Calculate the hydrostatic force acting on the top surface of this plate

864 KN

Explanation:

(Absolute pressure) = (Atmospheric pressure) + (Gauge Pressure)

Atmospheric pressure = 95 KPa = 95000 Pa

Gauge Pressure = ρgh

ρ = density of the fluid = 1000 kg/m³

g = acceleration due to gravity = 9.8 m/s²

h = depth below the fluid level that the object is at = 5 m

Gauge Pressure = 1000 × 9.8 × 5 = 49000 Pa

Absolute pressure = 95000 + 49000 = 144000 Pa.

Pressure = (Hydrostatic force)/(Area perpendicular to the force)

Hydrostatic force = (Pressure) × (Area perpendicular to the force)

Area perpendicular to the force = 2 × 3 = 6 m²

Hydrostatic force on the top of the plate = 144000 × 6 = 864000 N = 864 KN

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