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8/18/2019 Archimedes Bernoulli and Pascal
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Bernoulli’s, Pascal’s,& Archimedes’
Principles
Principles of Fluids
8/18/2019 Archimedes Bernoulli and Pascal
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Bernoulli’s Principle
• As the Velocity (speed) of
a fluid increases, thePressure exerted by the
fluid decreases• Why?
8/18/2019 Archimedes Bernoulli and Pascal
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Bernoulli’s Example
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Buoyant Force• The upward force of aFluid exerted on an obect!
• What is the do"n"ardForce exerted on an
obect?
Gravit
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Archi#edes’ Principle
• The buoyant force on
an obect in a fluid isequal to the weight of
the fluid displaced bythe obect
8/18/2019 Archimedes Bernoulli and Pascal
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Archimedes (Example #1) Mass = 20g
Volume = 20ml
Mass of
Fluid= 20g
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Archimedes (Example #1)
Gravity = 20
Buoyant Force = 20
Object is in
Liquid
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Archimedes’ (Example #2) Mass = 50g
Volume = 20ml
Mass of
Fluid= 20g
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Archimedes (Example #2)
Gravity = 0
Buoyant Force = 20
Object
SINKS
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Archimedes’ (Example #3) Mass = 30g
Volume = 60ml
Mass of
Fluid= 60g
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Archimedes (Example #3)
Gravity = !0
Buoyant Force = "0
Object
Floats
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Pascal#s Principle
• Pressure applied to one
place of a fluid istrans#itted unchanged
throughout the fluid!
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Pascal’s Principle
$iquid
What is pressure?
What type of fluid works
best for this principle?
$xplain your ans"er!
P % AreaForce
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Pascal’s example
A B
Area of A = 8 cm2
Area of B = ! cm
2
"orce = 1!!!! $Force ?
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Brea% do&n 'he prolem
A B
P =Area
Force%
st
solve for P in B
P % 0 c&2%0'000 (
P % 200 ( c&2
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Brea% do&n 'he prolem
A B
2nd solve for F on )
P = )reaForce
F = P x )
F =
200 (
c&2x * c&
2
F = %"00 (