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Transcript of Chapter5 Solidandliquidbb101 121014064519 Phpapp02
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Chapter 5
Solids & Fluid
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Solids, Liquids and Gases
Pressure
Characteristics of Solid, Liquid and Gas
Density and relative density
Contents
Pascal Principle
Archimedes Principle
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Three states of matter
solid liquid gas
At room temperature most substances exist in one of three
physical states.
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The particle model
The difference between solids, liquids and gases can be
explained by the
All substances are made up of particles.
The particles are attracted to each other. Some particles
are attracted strongly to each other and others weakly.
The particles move around. They are described ashaving kinetic energy.
The kinetic energy of the particles increases withtemperature.
http://h/power%20point%20azah/States%20of%20Matter.rvhttp://h/power%20point%20azah/States%20of%20Matter.rv -
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Particles in a solid
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Particles in a liquid
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Particles in a gas
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Properties of solids, liquids and gases
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How do smells spread out?
Where is the smell coming from and how does it spread out?
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Diffusion occurs in liquids and gases but hardly at all in
solids.
What is diffusion?
Diffusion is themovement of
particles that allows them to spread
out and mix with other particles.
For example, the smell of aftershave
or perfume diffuses and is detected by
people on the other side of the room.
Use the particle model to explain these facts about diffusion:
Diffusion happens more quickly for gases than for liquids.
Diffusion happens more quickly at warm temperatures
than at cooler temperatures.
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Across:
2. Change from liquid to solid
5. Force caused by collisions ofparticles
6. Arranged in a 3-dimensional
pattern
9. Spacing of particles in solidsand liquids
10. All substances are this state
at very low temperatures
11.Only liquids and gases do this
1
2 3
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6
7 8
9
10
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Down:1. Closely packed particles 6. Particles are close but disorganised
3. Change from gas to liquid 7. Particles widely spread out
4. Change from solid to liquid 8. Change from liquid to gas
Crossword
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DEFINE DENSITY,
Density is defined as ratio of the mass of substance to its
volume. It is a measure of how tightly packed and how heavy the
molecules are in an object. Density is the amount of matter within a
certain volume.
Proof that water and ice have
different densities
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To find the density
Find the mass of theobject
Find the volume of
the object
DEFINE DENSITY
Units for density usually express
in kg/m3
= m (kg)
V (m3)
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Example 1:
A big box has mass of 20N and size 30cmx30cmx30cm,
Using all the information, calculate the density of the box.
Solution:
W = mg
20 N = m (9.81)
m = 20 / 9.81
= 2.04 kg
Volume = 30cm x 30cm x 30cm
= 0.3m x 0.3m x 0.3m
= 0.027m3
30cm
30cm
30cm
= m = 2.04 kg = 75.57 kg/m3
V 0.027m3
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Also known as Specific Gravity Specific gravity is ratio of the density of a sunstance to the
density t of water.
DEFINE RELATIVE DENSITY, b
b= substance (kg/m3)
water (kg/m3)No unit
1000 kg/m3
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Example 2:
If the density of an object is 4000 kg/m3 ,calculate the
specific gravity of the object. ( Density of water = 1000 kg/m3)
b= subs tance (kg/m3)
water (kg/m3)
b= 4000(kg/m3)1000(kg/m3)
= 4
PRESSURE P
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PRESSURE, P
Pressure is defined as Force per unit Area acting on a surface.
Factors that affect the pressure acting on a surfaceContact area ( Smaller contact area greater pressure)
Force acting on the surface ( Large force greater pressure)
P = F (N)
A (m2)
Unit in N/m2 or Pascal (Pa)
A
F
A
F
APPLICATION OF PRESSURE
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APPLICATION OF PRESSURE
High Pressure Low Pressure
E l 3
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Example 3:
How many Pascals are exerted by an elephant of weight
50 000 N standing on his feet of total area 0.8m
2 ?
Solution:
F = 50000 N
Area = 0.8m2
P = F / A
= 50000 / 0.8
= 62 500 Pa
E l 4
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Example 4:
What Pressure is exerted by an apple of weight 1 N sitting
on area 20mm
2
?Solution:
F = 1 N
Area =20 mm2 = 0.00002m2
P = F / A
= 1 / 0.00002
= 50 000 Pa
PRESSURE IN LIQUID
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PRESSURE IN LIQUID
A liquid in a container exerts pressure because of it weight (Force).
P = gh Unit in N/m2 or Pascal (Pa)
A
h
Volume, V = Ah
Density, = mV
Mass, m = V
Weight,w = Force,F = mg= Vg
= Ahg
Pressure = F = Ahg = hgA A
CHARACTERISTICS OF PRESSURE IN A LIQUID
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CHARACTERISTICS OF PRESSURE IN A LIQUID
Depth to pressure in liquid
Liquid pressure increase
with depth
The pressure of water isthe lowest at the highest
point of the cylinder and
the pressure of water is
highest at the lowestpoint of the cylinder.
CHARACTERISTICS OF PRESSURE IN A LIQUID
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CHARACTERISTICS OF PRESSURE IN A LIQUID
Density to pressure in liquid
Pressure of liquid is increases with density.
Water Oil
x1 x2
x1 > x2 Density of cooking oil is less than water
CHARACTERISTICS OF PRESSURE IN A LIQUID
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Fluid exerts forces in many directions. Try to submerse a
rubber ball in water to see that an upward force acts on thefloat.
Fluids exert pressure in
all directions.F
CHARACTERISTICS OF PRESSURE IN A LIQUID
CHARACTERISTICS OF PRESSURE IN A LIQUID
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CHARACTERISTICS OF PRESSURE IN A LIQUID
Water seeks its own
level, indicating that
fluid pressure is
independent of area
and shape of itscontainer.
At any depth h below
the surface of the
water in any column,the pressure P is the
same. The shape and
area are not factors.
h
Water
level
Independence of Shape and Area
Example 5:
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Example 5:
The figure shows a cross section of a dam. Calculate;
a.The pressure exerted by the water at X, if the density of
water is 1000kg/m2
b.Explain why the bottom of the dam is built with thick
wall?
c.If there is air exerted and given that Patmis 101.3Kpa.
What is absolute pressure at point x?
6.5mx0.5m
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Solution:
a) Px= watergh
= (1000)(9.81)(6.5-0.5)
= 580860 Pa
b) This is because the water pressure increase as the
depth of water increases. So, a grater pressure is
exerted at the bottom of the dam.
c) Pabsolute = Patm + Px
= 101.3 kPa + 580860 Pa
= 682.16 kPa
APPLICATION OF PRESSURE IN LIQUIDS
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APPLICATION OF PRESSURE IN LIQUIDS
Public water supply
systems ( Water Tank)
The wall of a dam
PASCAL PRINCIPLE
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PASCAL PRINCIPLE
Pascals principle states that pressure exerted on an
enclosed fluid is transmitted equally to every part of the
fluid.
P1 = P2
F1= F2
A1 A2
Pressure in Pascal can be
expressed:
A1d1= A2d2
Transmitting force
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Transmitting force
An applied force F1can beamplified:
Hydraulic press
P F1
A1
F2
A2
F2
F1
A2
A1
A common application of this is a hydraulic lift used to raise
a car off the ground so it can be repaired at a garage.
Example
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Example
The cylindrical piston of a hydraulic jack has a cross-sectional
area of 0.06 m2 and the plunger has a cross-sectional area of
0.002m2.a.The upward force for lifting a load placed on top of the large
piston is 9 000 N. calculate the downward force on the
plunger required
b.If the distance moved by the plunger is 75cm, what is the
distance moved by the large piston?
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Solution:
a) F1 = F2
A1 A2
F1 = F2A1
A2
= 0.002 x 9 000
0.06
= 300 N
b) A1d1 = A2d2
d2 = A1d1
A2
= 0.002 x 75
0.06
= 2.5cm
APPLICATION OF PASCAL PRINCIPLE
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APPLICATION OF PASCAL PRINCIPLE
Hydraulic Brake Hydraulic Jack
ARCHIMEDES PRINCIPLE
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ARCHIMEDES PRINCIPLE
Archimedes' principle is the law of buoyancy.
It states that "Any object partially or completelysubmerged in a fluid is buoyed up by a force equal to the
weight of the fluid displaced by the body."
ARCHIMEDES PRINCIPLE
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Buoyant force = Weight of fluid displaced
Buoyant force = Weight object in airweight in water
Buoyant force = Vg
ARCHIMEDES PRINCIPLE
Volume of the submerged = Volume of the liquid
object displaced
ARCHIMEDES PRINCIPLE
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Related buoyant force with the actual weight and
apparent weight
ARCHIMEDES PRINCIPLE
Buoyant force makes things
seem to be lighter.
The weight of an object is its
actual weight.
The weight measured whenthe object is immersed in fluid is
its apparent weight.
The apparent weight loss of
the object is due to buoyantforce
Buoyant force = Apparent
weight Loss
Law of Floatation
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Law of Floatation
A floating object displaces its own weight of fluid in
which it floats.
Buoyancy explains why some objects sink and othersfloat.
Objects that are less density than water will float.
Objects that are more density than water will sink.
Objects that are the same density as water will neither
sink nor float.
Law of Floatation
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Law of Floatation
Which ball will sink in water?Which ball will float in water?
APPLICATION OF ARCHIMEDES PRINCIPLE
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APPLICATION OF ARCHIMEDES PRINCIPLE