03. force and pressure 1
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PressurePressure
Pressure is defined as the force acting normally per unit area.
(Here, the word "normally" means perpendicularly.)
The SI unit of pressure is Pascal (Pa). 1 Pa is eaual to 1 newton
per metre 2 (N/m 2).
Factors that affect the pressure acting on a surface.
Magnitude of the force .
The larger the force, the higher the pressure.
Contact area .
The larger the contact area, the lower the pressure.
Examples of application of high pressure are :
a. Sharp Knifeb. Ice-Skatec. Sole of shoes with spike
Examples of application of low pressure are
a. Foundation of Buildingb. Snow Shoesc. Tyre of Tractor
d. Feet of Elephant
Note
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Liquid Pressure Pressure in Liquids1. Pressure in liquid is owing to the weight of the
liquid acting on the surface of any objects in theliquid.
2. Pressure of a liquid is directly proportional toa. the gravitational field strength
b. the depthc. density of the liquid.
Formulae:
Pressure caused by a liquid P = hg
Pressure in a liquid
P = hg + P atm
U-Tube Usually, a U-tube is used to compare and measure densityof liquids.
The density of the 2 liquids is related by the equation:
Application of Liquid Pressure1. Dam2. Submarine
3. Measuring Blood Pressure4. Intravenous Transfusion5. Water Tower
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Gas & Atmospheric Pressure Q: Explain how gas pressure is produced in a closedcontainer?
A:
Gas molecules in the container are in constant and random motion.As a result, the gas molecules collide on theinner wall of the container.After colliding on the wall, the gas molecules
bounce off, and the direction change creating achange of momentum to the molecule of the gas.The change of momentum produces a force onthe wall.The force per unit area is the pressure on thewall .
Atmospheric Pressure
1. On the surface of the earth, there is a thick
layer of gas called the atmosphere. Theatmosphere consists of various types of gascalled the atmospheric gas.
2. The atmospheric gases collide on the surfaceof the earth and hence exert a pressure on thesurface of the earth, called the atmospheric
pressure.3. The atmospheric pressure can be measured in
the unit of atm, mmHg or Pa. The atmospheric pressure at sea level is taken to be 1 atm,which is approximately 760 mmHg or 101,000Pa.
Characteristics of
Atmospherics Pressure
Decreases with altitude
The atmospheric pressure changes accordingly to the altitude. Altitude is
the height above sea level. The greater the altitude, the lower theatmospheric pressure.
Act equally in all direction
The atmospheric pressure acts on every object in
the atmosphere. It acts equally in all direction.
Atmospheric pressure is ~ 100,000Pa at sea level
On the surface of the earth, the atmospheric pressure
can be as high as 101,000 Pa.
Proof of Existence of Atmospheric Pressure
The existence of the atmospheric pressure can be proved
by the following experiments.a. Crushing can experiment
b. Water cover with cardboard does not flow outc. Magdeburg Hemisphere
Instruments Used to Measure Atmospheric Pressure
Atmospheric pressure can be measured by either
a. a simple barometer, b. a Fortin barometerc. an Aneroid barometer.
Unit Used to Measure Atmospheric Pressure
1. Pascal (Pa)
2. StandardAtmosphericPressure (atm)
3. mmHg (alsoknown as torr)
1 Pa = 1 N/m 2
1 atm = Atmospheric Pressure at
sea level ( = 101,325 Pa)
1 mmHg = 1/760 atm (roughly
equal to the liquid pressure
exerted by a millimetre of
mercury). In SPM, usually we use
the unit cmHg, instead of mmHg
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Gas & Atmospheric Pressure Simple Barometer
2 Cases
No air trapped in the tube Some air trapped in the tube
Pressure at A = x cmHg
Atmospheric pressure = h cmHgPressure at A = x cmHg + P gas
Atmospheric pressure = h cmHg + P gas
Characteristics of the Mercury Barometer
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Application of Atmospheric Pressure
Instruments Used to Measure Gas PressureThe pressure of the gas in a container can be measured
by usinga. Bourdon gauge
b. Manometer
P gas = P atm + P liquid .
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Pascals PrinciplePascal's principle states that in a
confined fluid, an externallyapplied pressure is transmitted
uniformly in all directions .
Pascal's principle is also known as
the principle of transmission of
pressure in a liquid.
Experiment
When the plunger is pushed in, the watersquirts equally from all the holes . This
shows that the pressure applied to the
plunger has been transmitted uniformly
throughout the water.
Hydraulic System
A hydraulic system applies Pascal's principle in its
working mechanism. It can be used as a force
multiplier .
According to Pascals principle,
Change of Oil Level in a Hydraulic System
In the diagram to the left, when piston-X is pressed
down, piston-Y will be push up. The change of the piston
levels of the 2 pistons is given by the following equation:
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Archimedes Principle Archimedes Principle
1. Archimedes Principle states that when a body
is wholly or partially immersed in a fluid it
experiences an upthrust equal to the weight of
the fluid displaced.
2. Upthrust/Buoyant force is an upward force
exerted by a fluid on an object immersed in it.
F = Upthrust/Buoyant Force
= Density of the liquidV = Volume of the displaced liquid
g = Gravitational field strength
Revision Note:
Density = mass per unit volume
Principle of Floatation
F = W
1. The principle of floatation states that when an
object floats in a liquid the buoyant
force/upthrust that acts on the object is equal
to the weight of the object.
2. If the weight of the object > upthrust, the
object will sink into the fluid.
Application of Archimedes Principle
1. Plimsoll Line2. Airship3. Hot Air Balloon
4. Hydrometers5. Submarine
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