Example 1
All your weight, about 700 N, on one foot of 0.02 m². That is why a single-leg stand digs deeper into wet sand.
Pressure
Type force F [N] and area S [m²]. The calculator computes p = F/S: 700 N on 0.02 m² is 35 kPa, and on a 0.0001 m² heel that is 7 MPa. Zero square metres does not divide.
Fluid column: p = ρ g h. Short F/S: pressure p = F/S. Article: pressure from force and area.
Result
Force (N) and Area (m²). Pressure shows up here.
How it works
Pressure is force over area: p = F/S. The same force on a smaller area gives higher pressure. 700 N on a 0.02 m² foot is 35,000 Pa, or 35 kPa. On a 0.0001 m² heel those same 700 N are 7,000,000 Pa, or 7 MPa. On a 0.15 m² snowshoe that is about 4.7 kPa: the snow suddenly holds. 100 N on 0.01 m² is 10 kPa. 15 N on 0.04 m² is 375 Pa.
5000 N on a 0.0005 m² contact is 10 MPa. 4000 N on 0.008 m² is 500 kPa. 100 N on a 0.000002 m² tip is 50 MPa. 20,000 N on a 0.01 m² piston is 2 MPa. 40,000 N on 0.3 m² is about 133 kPa. 1 Pa = 1 N/m². 1000 Pa is 1 kPa, 1,000,000 Pa is 1 MPa, and 100,000 Pa is about one bar.
The first field is force F in newtons. The second is area S in square meters. The result is in pascals. S must be positive. Zero square meters does not divide: no contact, no pressure. A comma and a period are the same area: 0,02 and 0.02. F = 0 gives p = 0. Both fields need a number before 35 kPa can appear. A 1 cm² heel is 0.0001 m², not 0.01.
A fluid column is on hydrostatic pressure: p = ρ g h. There 10 m of water is about 98 kPa. Here you do not type density or height, only force and contact area. If you know mass, you can take F from F = m·a. 70 kg on Earth is about 687 N, the order of the 700 N foot.
The short p = F/S card is on the neighbouring page, fewer examples, same formula. Here you keep the full set: foot, heel, snowshoe, piston, nail, tire. The header switcher changes labels to lbf and ft² and the result to psi. The N and m² examples stay as the metric card numbers.
Type 700 and 0.02, click Calculate, and match 35 kPa. Then 700 and 0.0001 for 7 MPa. The header symbol does not drive a heel into the floor.
How to use
- In the first field enter force F in newtons. 700 N is the order of an adult on one foot.
- In the second field enter contact area S in m². A foot is often 0.02. A stiletto heel is 0.0001, not 0.01. A snowshoe is about 0.15.
- Click Calculate. 700 N and 0.02 m² give 35 kPa. Those same 700 N on 0.0001 m² are 7 MPa.
- S = 0 will not run, because you divide by area. Smaller S at the same F always raises pressure.
- Looking for fluid-column pressure? Open p = ρ g h. The short F/S card is next door.
Formula
p = F ÷ S
p, F, and S on the full F÷S page
The pressure calculator here is p = F/S. 700 N on 0.02 m² is 35 kPa. On a 0.0001 m² heel those same 700 N are 7 MPa.
- p
- Pressure [Pa]. 700 / 0.02 = 35000 Pa = 35 kPa. 7 MPa on a heel.
- F
- Force [N]. 700 N from a foot, or 100 N on a nail. F must be a number.
- S
- Area [m²]. 0.02 or 0.0001. S must be positive; zero does not divide.
Real-life examples
Example 2
The same 700 N on a stiletto heel of 0.0001 m². Pressure spikes so hard that parquet floors have every right to worry.
Example 3
Those 700 N again, now spread across a 0.15 m² snowshoe. Pressure drops and the snow suddenly carries you.
Example 4
A bottle jack at work: 20000 N on a 0.01 m² piston. Tiny area, huge pressure, and the car rises anyway.
Example 5
A thick atlas resting on the desk: a mere 15 N over 0.04 m². Pressure so gentle the desk never even notices.
Example 6
Vice jaws clamping 5000 N onto a 0.0005 m² contact. Megapascals appear and the workpiece gives in locally.
Example 7
A quarter of the car on one tire: 4000 N on a contact patch of roughly 0.008 m². Your whole grip on the road, palm-sized.
Example 8
A hammer blow puts 100 N on a nail tip of 0.000002 m². Pressure so extreme the wall simply gives way.
Example 9
A model elephant: 40000 N of weight over 0.3 m² of four broad feet. Less pressure than a stiletto heel makes.
Example 10
A suction cup on tile: about 50 N of hold over 0.005 m². Enough to carry a towel, letting go only with that loud pop.
Example 11
A wheel sinks into mud, so you slide a board under it: 800 N spreads over 0.2 m² and the car stops digging itself in.
Example 12
Your thumb presses a tack with 20 N; the point measures 0.000001 m². The corkboard accepts it without a fight.
Frequently asked questions
How much p at 700 N and 0.02 m²?
Pressure is 35,000 Pa, or 35 kPa. That is 700 / 0.02. Foot scale, not a heel.
How much on a 0.0001 m² heel?
The same 700 N give 7,000,000 Pa, or 7 MPa. On a 0.15 m² snowshoe you get about 4.7 kPa: same F, much larger S.
Which units do I type?
Force F [N], area S [m²]. Result p [Pa]. A thousand pascals is 1 kPa, a million is 1 MPa. Type 1 cm² as 0.0001, not as 1.
How is this different from hydrostatic pressure?
Here p = F/S from force and area. There p = ρ g h from a fluid column, with no F field. Ten metres of water is about 98 kPa.
How much at 100 N and 0.01 m²?
Pressure is 10 kPa. At 15 N and 0.04 m² that is 375 Pa. At 20,000 N and 0.01 m² that is 2 MPa.
Does a comma in 0.02 work?
Yes. 0.02 and 0,02 are the same S [m²]. 1 cm² is 0.0001 m², not 0.01.
What is 1 Pa?
One pascal is 1 N/m². A thousand Pa is 1 kPa. A hundred thousand Pa is about 1 bar, atmosphere order.
Where is F = m a?
On the force page. Here F is an input to p = F/S. Seventy kilograms is about 687 N, the order of the 700 N foot.
What is the short p = F/S page?
Same formula, fewer examples. This is the full card: foot, heel, and snowshoe. That one is the short page with 100 N on 0.01 m².
How much at 100 N on 0.000002 m²?
Pressure is 50 MPa. At 4000 N on 0.008 m² that is 500 kPa. Small S drives p up.
Knowledge sources
The formula is the school one. Units follow SI; NIST SP 330 and BIPM define the measures, not your result.
Page updated in 2026.