Question

A vertical gate closes a circular tunnel of 5m diameter running full of water,the pressure at the bottom of the gate is 0.5 Mpa. Determine the hydraustatic force and the position of centre of pressure​

Answer 1

Answer:

Hydrostatic forces are the resultant force caused by the pressure loading of a liquid acting on submerged surfaces. ... The center of pressure is a point on the immersed surface at which the resultant hydrostatic pressure force acts.

When it is rotating, the surface will be curved but the only force on the bottom of the container is the force of gravity pushing down on the liquid - in other words the total force on the bottom is equal to the weight of the liquid.

At the Earth's surface, the air pressure exerted on you is a result of the weight of air above you. This pressure is reduced as you climb up in altitude and the weight of air above you decreases. Under water, the pressure exerted on you increases with increasing depth.

Water pressure is the result of the weight of all the water above pushing down on the water below. As you go deeper into a body of water, there is more water above, and therefore a greater weight pushing down. This is the reason water pressure increases with depth.

Center of pressure is in general below centroid since pressure increases with depth. Center of pressure is determined by equating the moments of the resultant and distributed forces about any arbitrary axis.

Explanation:

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