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Pressure
The force applied per unit area.
Force
A push or pull acting upon an object, measured in newtons (N).
Area
The surface over which a force is applied, measured in square metres (m²).
Pascal (Pa)
The unit of pressure equal to one newton per square metre.
Cross-sectional area
The area of the surface perpendicular to the applied force.
Pressure equation
P = F ÷ A, where P is pressure, F is force, and A is area.
Formula triangle
A visual tool to rearrange the pressure formula easily.
High pressure
Occurs when a force is applied over a small area.
Low pressure
Occurs when a force is spread over a large area.
Gravitational field strength
The force per kilogram due to gravity, usually 9.8 N/kg on Earth.
Density
The mass per unit volume of a substance, measured in kg/m³.
Pressure in liquids
The pressure exerted by a liquid depends on depth, density, and gravity.
Normal force
The force acting at 90 degrees to a surface.
Fluid
A substance that flows, including liquids and gases.
Pressure increase with depth
Pressure in a fluid increases with depth.
Depth
The vertical distance below the surface of a fluid.
Pressure difference formula
P = h × ρ × g.
Height (h) in fluids
The depth of the fluid above a given point.
Density (ρ) in fluids
Mass per unit volume, affecting fluid pressure.
g in pressure formula
Gravitational acceleration, typically 9.8 N/kg on Earth.
Force from pressure
Force is pressure multiplied by area (F = P × A).
Unit conversion: kPa to Pa
1 kilopascal (kPa) = 1000 pascals (Pa).
Effect of small surface area
Smaller area increases pressure for the same force.
Effect of large surface area
Larger area decreases pressure for the same force.
Pressure and force relationship
Increasing force increases pressure if area is constant.
Pressure and area relationship
Increasing area decreases pressure if force is constant.
Significant figures
Number of digits used to express precision in answers.
Unit consistency
All quantities must have compatible units in calculations.
Normal pressure in fluids
Acts evenly and in all directions on surfaces.
Pressure in stationary fluids
Pressure is transmitted equally throughout the fluid.
Surface pressure
Force distributed over a given surface area.
kN (kilonewton)
A unit of force equal to 1000 newtons.
Weight
The force of gravity acting on an object's mass.
Pressure at fluid surface
Lower pressure compared to deeper levels.
Pressure at depth
Depends on fluid density, gravitational strength, and depth.
Pascal's principle
Pressure applied to a confined fluid is transmitted equally throughout.
Application of pressure in tyres
Larger tyres reduce pressure to prevent sinking.
Application of pressure in nails
Sharp nails create high pressure to penetrate materials.
Force unit
Newton (N), the SI unit of force.
Area unit
Square metre (m²), the SI unit of area.
Pressure unit
Pascal (Pa), the SI unit of pressure.
Calculating force from pressure
Multiply pressure by area (F = P × A).
Calculating area from force and pressure
Area = Force ÷ Pressure.
Calculating pressure from force and area
Pressure = Force ÷ Area.
Effect of density on pressure
Higher density fluids exert greater pressure at the same depth.
Effect of gravity on pressure
Stronger gravity increases fluid pressure.
Pressure in gases
Gases exert pressure in all directions like liquids.
Worked calculation steps
List knowns, select formula, rearrange, substitute, solve.
Importance of depth in fluids
Deeper points experience greater pressure.
Pressure and submerged objects
Objects experience forces due to fluid pressure on their surfaces.
Unit of gravitational field strength
Newtons per kilogram (N/kg).
Unit of density
Kilograms per cubic metre (kg/m³).
Surface area and pressure relationship
Reducing surface area increases pressure for the same force.