• Pixel-art sticker of Centrina, personifying Centripetal Force, with the caption "I Pull You Inward."

IndexForces & FieldsSticker

Centrina

Centripetal Force Physics

\[F = \frac{m v^2}{r}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
Sale Sold out

Meet Centrina, who pulls you inward: moving in a circle needs a net force pointing toward the centre, F = mv²/r. If her pull stops, the object flies off along the tangent, not outward. 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 Centrina, who spins in a circle only because something keeps pulling her toward the centre.

An object moving in a circle at constant speed is still accelerating, because its direction keeps changing. That acceleration points toward the centre and has size v²/r. By Newton's second law, it needs a net inward force of mv²/r. This 'centripetal force' is not a new kind of force: it is supplied by tension, friction, gravity or whatever is doing the pulling.

Example: a 1,000 kg car taking a 50 m radius curve at 20 m/s needs 1,000 × 20² / 50 = 8,000 newtons of inward force, provided by friction between the tyres and road. Double the speed and the force needed quadruples.

Gravity supplies the centripetal force that keeps the Moon and satellites in orbit. Banked curves on roads and tracks help supply it too.

If the inward force vanishes, the object does not fly outward. It moves off in a straight line along the tangent. The outward 'centrifugal' push you feel in a turning car is a feature of describing motion from the rotating frame.

Equations

\[F = \frac{m v^2}{r}\]
Symbols
SymbolMeaningUnit
\(F\) net inward (centripetal) force \(\mathrm{N}\)
\(m\) mass \(\mathrm{kg}\)
\(v\) speed \(\mathrm{m/s}\)
\(r\) radius of the circle \(\mathrm{m}\)