Atriangular plate with base 4 m and height 5 m is submerged vertically in water so that the tip is even with the surface. express the hydrostatic force against one side of the plate as an integral and evaluate it. (round your answer to the nearest whole number. use 9.8 m/s2 for the acceleration due to gravity. recall that the weight density of water is 1000 kg/m3.)

The hydro-static force is 326666.67 N.

Explanation:

Given that,

Base = 4 m

Height = 5 m

We need to calculate the area of strip

using similar triangle,

Area of strip,

Where, b = base

dx = width of strip

H = height

Put the value of base into the formula

We need to calculate the force

Using formula of force

Where, P = pressure

A = area

Put the value into the formula

On integration

Hence, The hydro-static force is 326666.67 N.

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