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Difference between revisions of "Pressure"

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: F = Force
 
: F = Force
 
: A = Area
 
: A = Area
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===Example Calculations===
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{| class="wikitable"
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|-
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| style="height:20px; width:200px; text-align:center;" |'''A hydraulic press is used to stamp metal. The press provides a force of 1000N over an area of 0.0002m<sup>2</sup>. Calculate the Pressure applied by the press.'''
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| style="height:20px; width:200px; text-align:center;" |'''A 25000[[N]] elephant stands on 4 feet. The area of each food is 0.01m<sup>2</sup>. Calculate the pressure on one foot.'''
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| style="height:20px; width:200px; text-align:center;" |'''A person wearing stilettos rests their entire weight of 600N on one heel. The heel has an area of 0.0005m<sup>2</sup>
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|-
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| style="height:20px; width:200px; text-align:left;" |
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F = 1000[[N]]
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A = 0.0002m<sup>2</sup>
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:<math>P = \tfrac{F}{A}</math>
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:<math>P = \tfrac{1000}{0.0002}</math>
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:<math>P = 5,000,000Pa</math>
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| style="height:20px; width:200px; text-align:left;" |
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F = 25000[[N]]
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Area of 1 foot = 0.01m<sup>2</sup>
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Area of 4 feet = 0.04m<sup>2</sup
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:<math>P = \tfrac{F}{A}</math>
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:<math>P = \tfrac{25000}{0.04}</math>
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:<math>P = 625,000Pa</math>
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| style="height:20px; width:200px; text-align:left;" |
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F = 600[[N]]
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A = 0.0005m<sup>2</sup>
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:<math>P = \tfrac{F}{A}</math>
 +
 +
:<math>P = \tfrac{600}{0.0005}</math>
 +
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:<math>P = 1,200,000Pa</math>
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|}

Revision as of 13:03, 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 food 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</sup

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

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

\[P = 625,000Pa\]

F = 600N

A = 0.0005m2

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

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

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