Pressure measurement
Pressure measurement Sample document
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Resultant Force and Centre of Pressure on a submerged plane surface in a liquid
The term βπ§πΏπ΄ the 1st Moment of Area of the plane PQ about the free surface
βπ§πΏπ΄ = AZ
where A is the area of the plane and Z is the depth to the centroid, G
This can also be written in terms of distance from point O (Z=π₯sinπ)
βπ§πΏπ΄ = Aπ₯sinπ
So, resultant force on a plane, R=πππ¨π = πππ¨πsinπ½
This resultant force acts at right angles to the plane through the center of pressure, C, at a depth D.
The moment of R about any point will be equal to the sum of the moments of the forces on all the
elements Ξ΄A of the plane about the same point…..
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