Question:

Water stands upto height $h$ behind the dam as shown in the figure. The front view of the dam gate is also shown in the adjoining figure. Density of water is $\rho$ and acceleration due to gravity is $g$. If atmospheric pressure force is also considered, then the point of application of total force acting on the dam due to water above $O$ is

Updated On: Apr 4, 2024
  • $\frac{h}{4}$
  • $\frac{h}{3}$
  • $h$
  • $\frac{h}{2}$
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The Correct Option is B

Solution and Explanation

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Concepts Used:

Pressure

Pressure is defined as the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Everyday examples of pressure are:

  • The working of the vacuum cleaner is an example of pressure. The fan inside the vacuum creates a low-pressure region which makes it easy to suck the dust particles inside the vacuum.
  • Using a knife for cutting is another example of pressure. The area exposed from the knife is small but the pressure is high enough to cut the vegetables and fruits.

Formula:

When a force of ‘F’ Newton is applied perpendicularly to a surface area ‘A’, then the pressure exerted on the surface by the force is equal to the ratio of F to A. The formula for pressure (P) is:

P = F / A

Units of Pressure:

The SI unit of pressure is the pascal (Pa)

A pascal can be defined as a force of one newton applied over a surface area of a one-meter square.