• Pixel-art sticker of Pressia, personifying Radiation Pressure, with the caption “Light Pushes Too.”

IndexRelativity & CosmosSticker

Pressia

Radiation Pressure Physics

\[P = \frac{I}{c}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Pressia, a beam of light who gives everything she touches a gentle push, because light carries momentum. Sunlight near Earth, about 1361 W/m², presses with about 4.54 µN/m² on a black surface, and twice that on a perfect mirror. Solar sails ride on this. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

Meet Pressia, a beam of light that gives everything it touches a gentle push.

Light carries energy, and it also carries momentum. When a surface absorbs light, that momentum is handed over, which means a force and therefore a pressure. James Clerk Maxwell's theory of electromagnetism predicted this, and Pyotr Lebedev and, separately, Ernest Nichols and Gordon Hull measured it around 1900. For a fully absorbing surface the pressure is the intensity divided by the speed of light, P = I/c. A perfect mirror gets twice that, because the light bounces back.

Sunlight near Earth has an intensity of about 1361 W/m². Dividing by c = 299,792,458 m/s gives P = 1361 / 299,792,458 ≈ 4.54 × 10⁻⁶ N/m², about 4.54 micronewtons on every square metre.

That is tiny, but in space nothing cancels it. Solar sails use it for thrust, as Japan's IKAROS spacecraft showed in 2010, and mission planners must include it when predicting spacecraft orbits.

On Earth, air currents and friction swamp it. The old radiometer, a glass bulb with spinning vanes, is a famous misconception: it turns mainly because of heated gas, not radiation pressure.

Equations

\[P = \frac{I}{c}\]
Symbols
SymbolMeaningUnit
\(P\) radiation pressure on a fully absorbing surface \(\mathrm{Pa}\)
\(I\) intensity of the light \(\mathrm{W/m²}\)
\(c\) speed of light in vacuum \(\mathrm{m/s}\)