Pressure explorer: why a needle goes in and a palm does not, pressure = force ÷ area with a pressure-area graph

Press a needle and a flat palm into soft clay with the same force and see why one goes in. Pressure = force ÷ area is worked out with your numbers, a graph shows pressure against area, and Class 11 adds thrust from a resting mass.

Keep it one tap away for everyday use.

Bookmark Pressure explorer?

Press Ctrl + D now. Your browser opens its own bookmark box, where you choose the name and folder.

  1. Pick two
  2. Press
  3. F ÷ A
  4. Graph
Nothing is uploadedWorks offline once open
Level

Drag up or down on the picture to press harder or more gently.

The pressure

Pressure against area

Both axes go up in steps of ten (a log scale), so the curve P = F ÷ A shows as a straight line. Every step of ten to the right is ten times less pressure.

Try this

  • Keep the force at 100 N and compare the needle with the palm. How many times more pressure does the needle make?
  • Find the smallest force that lets the nail tip go into the clay. Then try the knife edge.
  • Put a brick on its end and lying flat. Which one sinks into the clay? Why do buildings stand on wide foundations?
  • Compare a school shoe with a snowshoe. Why do people walk on snow in wide shoes?
  • At Class 11, rest the same mass on different faces: the thrust stays the same, but the pressure changes.

Check yourself

What it does

Push a drawing pin in with your thumb and it goes in easily, yet the same push from your palm leaves no mark. The difference is pressure: how much force lands on each square metre. This page presses two objects into pretend soft clay with the same force. A needle point puts it all on a tiny spot and slides in; a flat palm spreads it out and hardly marks the clay.

It shows the pressure under each object, how many times bigger one is, and the sum P = F ÷ A with your numbers. A graph plots pressure against area, so you can see that halving the area doubles the pressure.

It follows Class 8 Science, pressure, winds, storms and cyclones (force on an area, the pascal, sharp and broad objects), and at Class 11 thrust and pressure in powers of ten. Next, liquid pressure shows pressure growing with depth in water, and barometer altitude shows air pressure falling as you climb.

How to use it

  1. Choose the left and right objects, from a needle point to a snowshoe. Pick Your own area on the left for any area from 0.01 mm² to 1 m².
  2. Set the force with the slider, or drag up and down on the picture. Both objects get the same force.
  3. Read the pressures. The colour shows whether the clay hardly marks, dents, or the object goes in.
  4. Switch Level to Class 11 for powers of ten and to make the force come from a resting mass (weight = mass × 9.8 m/s², the thrust).
  5. Try Check yourself at the bottom.

Worked example

A needle point (0.01 mm² = 0.00000001 m²) and a flat palm (100 cm² = 0.01 m²) are each pressed with 100 N.

  • Needle: P = 100 ÷ 0.00000001 = 10 GPa. It goes in.
  • Palm: P = 100 ÷ 0.01 = 10 kPa. A dent only.

The needle gives 1,000,000 times more pressure, because its area is a million times smaller. A 2 kg brick (thrust 19.6 N) lying flat on 200 cm² presses with 980 Pa; on its end (50 cm²) it presses with 3,920 Pa.

FAQ

Is a pascal big or small? Small: one newton on a whole square metre. That is why kPa and MPa are common.

What is the difference between thrust and pressure? Thrust is the total force on a surface, in newtons. Pressure is that force shared over the area, in pascals.

Are the clay limits real? No. They are made-up values to show the idea.

Is anything stored? No. Everything runs in your browser.

Where the numbers come from

  • Pressure = force ÷ area (thrust per unit area), 1 Pa = 1 N/m², weight = mass × g with g = 9.8 m/s² (rounded): standard school physics found in any textbook.
  • The contact areas of the objects (needle point 0.01 mm², nail tip 1 mm², knife edge 10 mm², fingertip 1 cm², palm 100 cm², shoe 250 cm², snowshoe 0.1 m², a 20 × 10 × 5 cm brick) and the limits of the soft clay (dents above 5 kPa, gives way above 500 kPa) are made-up, rounded teaching values.
  • The numbers were checked by hand and by an independent calculation in the tests (force ÷ area for every object, unit changes from cm² and mm² to m²).

Standard scientific values, such as constants, atomic weights and melting points, are facts found in every textbook; we name where ours were checked. If you are an author or publisher and want a value, a credit or a table changed or removed, tell us and we will act quickly.

Last updated 2026-11-10.

Change log for Pressure explorer

  1. Add #1219 Pressure explorer Details on GitHub

Every change to fibub

Related tools

Newton's laws sandbox #L10 Push a trolley with a force and mass you choose on ice, a smooth floor or carpet and watch a = F/m and friction at work; push two trolleys apart to see equal and opposite forces and momentum conserved; and catch a ball to see why a longer stopping time means a smaller force. Friction ramp #L11 Tilt a ramp, pick the surfaces, set the mass and push, and see at once whether the block stays, slides down or moves up, with the gravity, support, friction and push arrows drawn on it and the numbers worked out. Liquid pressure #L107 A bottle of water with holes at three heights. See the lowest jet squirt hardest, read the pressure at each hole, let the bottle drain, raise it on a stand, and at Class 11 work out each jet's speed and where it lands. Barometer altitude #L110 Drag a climber up a mountain and watch the air thin out, the mercury barometer fall from 760 mm and water's boiling point drop to about 70 °C on Everest. Tick the pressure cooker to bring it back above 100 °C. Mirror ray diagram #L1 Drag an object in front of a concave or convex mirror and watch the principal rays find the image: where it forms, how big it is, real or virtual, with the mirror formula and magnification worked out with signs. Lens ray diagram #L2 Drag an object in front of a convex or concave lens and watch the principal rays find the image: where it forms, how big it is, real or virtual, with the lens formula, magnification and power worked out with signs.