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Difference between revisions of "Pressure"

(Example Calculations)
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:<math>P = 1,200,000Pa</math>
 
:<math>P = 1,200,000Pa</math>
 
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===Pressure in a Fluid===
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: The [[force]] responsible for [[pressure]] in a [[fluid]] is the [[weight]] of all the [[particle]]s above the [[object]].
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: The [[pressure]] in a [[fluid]] decreases with height and increases with depth. The deeper into a [[fluid]] the greater the pressure.
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: Since [[pressure]] increases with depth then the bottom of an [[object]] will experience more [[pressure]] than the top of the [[object]]. This causes a [[force]] called [[upthrust]].

Revision as of 13:17, 15 October 2018

Key Stage 3

Meaning

Pressure is the force on a surface per unit area.

About Pressure

Pressure is measured in Pascals (Pa).
A large force on a small area causes a large pressure.
A small force on a large area causes a small pressure.

Equation

Pressure = Force/Area

\[P = \tfrac{F}{A}\] Where:

P = Pressure
F = Force
A = Area

Example Calculations

A hydraulic press is used to stamp metal. The press provides a force of 1000N over an area of 0.0002m2. Calculate the Pressure applied by the press. A 25000N elephant stands on 4 feet. The area of each foot is 0.01m2. Calculate the pressure on one foot. A person wearing stilettos rests their entire weight of 600N on one heel. The heel has an area of 0.0005m2

F = 1000N

A = 0.0002m2

\[P = \tfrac{F}{A}\]

\[P = \tfrac{1000}{0.0002}\]

\[P = 5,000,000Pa\]

F = 25000N

Area of 1 foot = 0.01m2

Area of 4 feet = 0.04m2

\[P = \tfrac{F}{A}\]

\[P = \tfrac{25000}{0.04}\]

\[P = 625,000Pa\]

F = 600N

A = 0.0005m2

\[P = \tfrac{F}{A}\]

\[P = \tfrac{600}{0.0005}\]

\[P = 1,200,000Pa\]

Pressure in a Fluid

The force responsible for pressure in a fluid is the weight of all the particles above the object.
The pressure in a fluid decreases with height and increases with depth. The deeper into a fluid the greater the pressure.
Since pressure increases with depth then the bottom of an object will experience more pressure than the top of the object. This causes a force called upthrust.