CONCEPTUAL QUESTION - Hydrostatic Forces in Layered FluidsHow do you get the centroid of the inclined shape like in the picture? Like for F1 = PcgA1, you obviously need the centroid and the area, so how do you get it if it's inclined? Can anyone give an example? 2.7 Hydrostatic Forces inLayered FluidsThe formulas for plane and curved surfaces in Secs. 2.5 and 2.6 are valid only for afluid of uniform density. If the fluid is layered with different densities, as in Fig. 2.15,a single formula cannot solve the problem because the slope of the linear pressurePlanez= 0surfacePaFluid 1p = P-P187F2= P cG42P = Pa- P187,P2Fluid 2Z2. P2p = P1 - P28(zz ?Fig. 2.15 Hydrostatic forces on asurface immersed in a layered fluidmust be summed in separate pieces.P2 = P1 -P28(z, z 1

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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CONCEPTUAL QUESTION - Hydrostatic Forces in Layered Fluids

How do you get the centroid of the inclined shape like in the picture? Like for F1 = PcgA1, you obviously need the centroid and the area, so how do you get it if it's inclined? Can anyone give an example?

2.7 Hydrostatic Forces in
Layered Fluids
The formulas for plane and curved surfaces in Secs. 2.5 and 2.6 are valid only for a
fluid of uniform density. If the fluid is layered with different densities, as in Fig. 2.15,
a single formula cannot solve the problem because the slope of the linear pressure
Plane
z= 0
surface
Pa
Fluid 1
p = P-P187
F2= P cG42
P = Pa- P187,
P2
Fluid 2
Z2. P2
p = P1 - P28(zz ?
Fig. 2.15 Hydrostatic forces on a
surface immersed in a layered fluid
must be summed in separate pieces.
P2 = P1 -P28(z, z 1

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