MotionLab

Pressure Calculator

The same force spread over a smaller area creates dramatically more pressure.

Force (N)

Area (m²)

Pressure (Pa)

250

P = F / A

What you entered

Force (N): 500Area (m²): 2

1
P = F ÷ A
500 ÷ 2= 250 Pa

Result

Pressure (Pa): 250

500N over 2 m² is 250 Pa of pressure.

Pressure from force spread over an area

Pressure is force divided by area, in pascals. One pascal is one newton per square metre.

Force (N)	Area (m2)	Pressure (Pa)	Context
100	1	100.00	Light load, wide area
500	2	250.00	Spread over 2 m2
1000	0.5	2000.00	Concentrated load
687	0.02	34350.00	Person standing on both feet
10	0.0001	100000.00	Drawing pin point

The last two rows are the point: a 70 kg person on two feet exerts about 34 kPa, while just 10 N on a pin point exerts 100 kPa - three times more from a hundredth of the force, purely because the area is tiny. That is why snowshoes work and why a sharp knife cuts with less effort than a blunt one. Atmospheric pressure at sea level is about 101,325 Pa, so the drawing pin is roughly one atmosphere. Pressure in a fluid also acts equally in all directions, which is the basis of hydraulics.

Why sharp objects cut and flat ones don't

A knife concentrates force onto a tiny area, creating enormous pressure at the edge — the same force spread across your palm creates far less pressure, which is why a dull, wide object can't cut but a sharp, thin one can, with identical applied force.

Units matter here

Pressure in Pascals (Pa) is force in Newtons over area in square meters — everyday pressures (like atmospheric pressure, ~101,325 Pa) look like huge numbers in base SI units, which is why pressure is often reported in kPa, bar, or PSI instead.

Frequently asked questions

A 60 kg woman stands on one stiletto heel (area 1 cm² = 0.0001 m²). What pressure does the heel exert?

If her weight is on one heel: P = F/A = (60 × 9.81) / 0.0001 = 5,886,000 Pa ≈ 5.9 MPa. That's nearly 60 atmospheres — enough to dent hardwood floors and explains why stilettos damage soft surfaces.

What is atmospheric pressure in different units?

Standard atmospheric pressure at sea level: 101,325 Pa = 101.3 kPa = 1.013 bar = 14.7 PSI = 760 mmHg = 1 atm. The variety of units exists because different fields (weather, engineering, medicine) developed their own conventions.

How is pressure different from stress?

They share the same formula (force/area) and units (Pa), but pressure typically refers to fluids pushing on surfaces, while stress refers to internal forces within solid materials under load. See the stress calculator for structural analysis problems.