In this lesson, we will learn how to apply integration to find the force exerted by a fluid on a body submerged in it.

Q1:

A right triangular plate with a base of 20 cm and a height of 30 cm is submerged vertically in water, with the top of the triangle 2 m below the surface. Find the force on one side of the plate to the nearest decimal, given that the density of water is 1,000 kg/m^{3} and 𝑔=9.8/ms.

Q2:

A circular plate of radius 2 m is submerged vertically in water such that the top of plate is at a depth of 6 m. Given that the density of the water is 1,000 kg/m^{3} and 𝑔=9.8/ms, find the force exerted by the water on one side of the plate approximated to the nearest decimal place.

Q3:

A pool is filled with water to a depth of 10 m. The density of the water is 1,000 kg/m^{3}. Calculate the fluid force on one side of a 3 m by 4 m rectangular plate if the plate rests vertically at the bottom of the pool on its 4 m edge.

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