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Regular price $21.99 USD
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Size
11oz · 15oz
Made
To order · shipping times

Why do grandfather clocks have long pendulums? Pendulo keeps time. For small swings, a simple pendulum’s period is T = 2π√(L/g): it depends on length and gravity, not on the bob’s mass. A one-metre pendulum takes about two seconds per full swing. Galileo first noticed the timing. Pixel-art black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.

Size

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingFree US

Free US shipping. $10 flat shipping outside the US.

Made to order: about 10 days of production and handling before it ships.

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

Pendulo keeps time, and only his length matters.

For small swings, a simple pendulum's period depends on its length and on gravity, and on nothing else: not the mass of the bob, and not how wide the swing is. A one-metre pendulum takes about two seconds per full swing.

LENGTH MATTERS. WEIGHT DOESN'T. A heavier bob needs more force to accelerate, and gravity supplies exactly that much more, so the two cancel, as long as air drag is negligible. Gravity does matter: the same pendulum swings slightly slower where gravity is weaker, so pendulums were used to measure it.

Galileo noticed the steady timing around 1583, reportedly by timing a swinging lamp in Pisa cathedral against his pulse. Christiaan Huygens built the first pendulum clock in 1656. The formula is the small-angle approximation: at large amplitudes the period grows a little.

Pendulo never hurries and never drags. Give him a length, and he gives you a second.

Equations

\[T = 2\pi\sqrt{\frac{L}{g}}\]
Symbols
SymbolMeaningUnit
\(T\) period of one full back-and-forth swing (small swings) \(\mathrm{s}\)
\(L\) length from pivot to the centre of the bob \(\mathrm{m}\)
\(g\) gravitational acceleration \(\mathrm{m/s²}\)
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