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The point in the immersed body through which the resultant pressure of the liquid may be taken to act is known as
  • a)
    meta centre
  • b)
    centre of pressure
  • c)
    centre of buoyancy
  • d)
    centre of gravity
  • e)
    none of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The point in the immersed body through which the resultant pressure of...
Centre of Pressure in Immersed Body

Definition:
The centre of pressure is the point in the immersed body through which the resultant pressure of the liquid may be taken to act.

Explanation:
When a body is immersed in a fluid, the fluid exerts a pressure on the surface of the body. The pressure acting on different points of the surface is not the same. Hence, the force acting on the body is different at different points. The center of pressure is the point where the resultant force due to the pressure of the fluid acts.

Factors affecting the Centre of Pressure:
The center of pressure depends on the shape and size of the immersed body and the depth of immersion. It also depends on the density and viscosity of the fluid.

Calculation:
The center of pressure can be calculated using the following formula:

Xcp = Ic / A

Where Xcp is the distance of the center of pressure from the centroid of the area, Ic is the moment of inertia of the area about the axis passing through the centroid and perpendicular to the direction of the pressure, and A is the area of the immersed surface.

Significance:
The center of pressure is an important parameter in the design of submerged bodies. It helps in determining the stability of the body and its response to external forces. It is also used to calculate the force required to move the body and the torque required to rotate it.

Conclusion:
In conclusion, the center of pressure is a crucial concept in fluid mechanics and is used in the design of submerged bodies. It is the point through which the resultant pressure of the fluid acts on the body.
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