• Pixel-art sticker of Tidella, personifying Tidal Force, with the caption “Two Bulges, One Moon.”

IndexRelativity & CosmosSticker

Tidella

Tidal Force Physics

\[F_{\text{tide}} \approx \frac{2GMm\,r}{d^3}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
Sale Sold out

Meet Tidella, who stretches both ways: the Moon pulls harder on Earth's near side than its far side, stretching the oceans into two bulges, one toward the Moon and one away. The Moon's tidal effect is about 2.2 times the Sun's. 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 Tidella, the ocean stretched into two bulges by the Moon's uneven pull.

The Moon pulls on every part of Earth, but more strongly on the side facing it and less on the far side. What raises tides is that difference. Relative to Earth's centre, the near-side water is pulled toward the Moon and the far-side water is left behind. That makes two bulges, one facing the Moon and one opposite. As Earth turns under them, most coasts see two high tides a day.

The difference in pull across a body of radius r falls off as 1/d³, not 1/d², so distance matters a lot. That is why the Moon, though far less massive than the Sun, raises tides about 2.2 times larger. When Sun and Moon line up, at new and full Moon, their effects add into larger spring tides.

Tidal friction slowly lengthens Earth's day and moves the Moon outward, by a few centimetres a year.

Real tides depend strongly on coastline and seabed shape. The two-bulge picture is the equilibrium idealisation, and actual tidal ranges vary from almost nothing to over 15 metres.

Equations

\[F_{\text{tide}} \approx \frac{2GMm\,r}{d^3}\]
Symbols
SymbolMeaningUnit
\(F_{\text{tide}}\) difference in the Moon's pull across the body \(\mathrm{N}\)
\(G\) Newtonian constant of gravitation \(\mathrm{N·m²/kg²}\)
\(M\) mass of the Moon \(\mathrm{kg}\)
\(m\) mass of the element being pulled \(\mathrm{kg}\)
\(r\) radius of the body \(\mathrm{m}\)
\(d\) distance between the centres \(\mathrm{m}\)