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PHYSICS 2 MOD1
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is any substance that can flow either a liquid or a gas
FLUID
FLUID MECHANICS
The branch of
science
which deals with the study of the behaviour of fluids (
gases
or liquids)
FLUID STATICS
the study of fluids at rest or
equilibrium
situations
FLUID DYNAMICS
is the study of fluids in
motion.
Density Formula
ρ
=
ρ =
ρ
=
m
/
v
m/v
m
/
v
DENSITY
is defined as
mass
per
unitvolume
Density of Water
1000
k
g
/
m
3
1000 kg/m^3
1000
k
g
/
m
3
RELATIVE DENSITY
(specific gravity) ρr of a material is the ratio ofits density to the density of water (
1000
kg/m3).
Pressure
It is the
amount
of force exerted on a
givenarea.
Pressure Formula
P
=
P =
P
=
F
/
A
F/A
F
/
A
If the applied force is acting on a small area, then the pressure will be
large
Unit of Pressure
Pa
(
Pascal
) or
N/m^2
Fluid Pressure Formula
P=ρgh
As you go
deeper
the swimming pool, the pressure gets
Higher
The force F exerted by a fluid on the wallsof its container always acts
perpendicularto
the walls.
Fluid exerts
forces
in many
directions.
At any depth h below the surface of the water in anycolumn, the pressure P is the
same.
The shape and
area
arenot factors.
The fluid pressure is
directly proportional
to the depth of the fluid andto its density.
Atmospheric Pressure Formula
P
t
o
t
a
l
=
Ptotal =
Pt
o
t
a
l
=
P
a
t
m
+
Patm +
P
a
t
m
+
ρ
g
h
ρgh
ρ
g
h
HYDRAULIC
PRESSURE (Pascal’s
principle
)
𝑭
𝟏
/
𝑨
𝟏
=
𝑭𝟏/𝑨𝟏 =
F
1
/
A
1
=
𝑭
𝟐
/
𝑨
𝟐
𝑭𝟐/𝑨𝟐
F
2
/
A
2
HYDRAULIC
PRESSURE
the
same
amount of fluid leaves on the
left
and enters on the right side.
Buoyant Force
(
Archimedes' Principle
)
The
buoyant force
FB is due to the difference ofpressure ∆ 𝑃 between the top and bottomsurfaces of the
submerge
d block
BUOYANT FORCE FORMULA
𝑭
=
𝑭 =
F
=
𝝆
𝒇
𝒈
𝑽
𝝆𝒇𝒈 𝑽
𝝆
fgV
ARCHIMEDES’ PRINCIPLE
An object that is completely or partially submerged in a fluidexperiences an
upward buoyant force
equal to the
weight
of the fluiddisplaced.
Relative Density Formula
𝝆
=
𝝆 =
𝝆
=
𝝆
x
/
𝝆
(
H
2
O
)
𝝆x/ 𝝆(H2O)
𝝆
x
/𝝆
(
H
2
O
)