Pressure
Comprehensive notes, formulas, and practice questions for Pressure.
Pressure
Pressure
What you'll learn
- Pressure = force per unit area: P = F/A.
- Why sharp knives, drawing pins, and stiletto heels behave differently from blunt objects.
- How broad camel feet, wide bag straps, and tractor tyres reduce pressure.
- SI unit pascal (Pa) = N/m².
Key concepts
- Formula — Pressure P = F/A; same force on smaller area → higher pressure.
- Units — pascal (Pa), also N/cm² in daily use; 1 Pa = 1 N/m².
- Solids — pressure at contact surface (standing on one foot vs two feet).
- Liquids — pressure increases with depth: P = hρg (intro level).
- Diagram (text) — compare knife edge (small A) vs hammer face (large A) for same force.
- Real world — snow shoes, heavy trucks with many wheels, injection needles.
Worked example
Finding pressure when a 600 N student stands on one foot (area 0.015 m²)
Given: F = 600 N, A = 0.015 m²
Step 1 — Write P = F/A
Step 2 — P = 600 / 0.015 = 40000 Pa
Step 3 — On two feet (total area 0.03 m²): P = 600/0.03 = 20000 Pa (half)
Step 4 — Smaller area → higher pressure on single foot.
Common mistakes
- Using force instead of pressure in explanations (need area too).
- Misconception: heavier person always creates higher pressure (depends on contact area).
- Confusing pressure with force units (Pa vs N).
- Doubling area while doubling force — pressure unchanged (P = 2F/2A = F/A).
Quick check
- State the formula for pressure with units.
- Why do tractors have broad tyres?
- Force 80 N on 0.02 m². Find pressure in Pa.
Open the Practice tab for graded questions on Pressure.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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