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Lectures 8 9 Statics Hydrostatics

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• The Basic Equations of Fluid Statics

• Pressure Variation in a Static Fluid

• Hydrostatic Force on Submerged Surface

• Buoyancy

An expansion of a real function f (x) about a point x=a is given by

...)(!3

1)(

!2

1)( 3

3

32

2

2

yy

y

pyy

y

pyy

y

ppp LLLL

x

y

z

Incompressible Fluid: Manometers

• Two points at the same level in a continuous

single fluid have the same pressure

Compressible Fluid: Ideal Gas

Need additional information, e.g., T(z) for atmosphere

We can find FR, and y´ and x´, by integrating, or …

Curved Submerged Surface

Horizontal Force = Equivalent Vertical Plane Force

Vertical Force = Weight of Fluid Directly Above Free Surface Pressure Force) (+

gVgdVdFFV

ZZ