PenduloSimple PendulumMug
Pendulo – Simple Pendulum Physics Mug
- 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.
Couldn't load pickup availability
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.
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.
∂ 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
| Symbol | Meaning | Unit |
|---|---|---|
| \(T\) | 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 | \(\mathrm{m/s²}\) |
Field notes
View all-
How Does GPS Correct for Relativity? The 38 Mic...
Every GPS fix depends on Einstein. Satellite clocks gain roughly 38 microseconds a day relative to the ground, and the system is built to cancel it. Here is where the...
How Does GPS Correct for Relativity? The 38 Mic...
Every GPS fix depends on Einstein. Satellite clocks gain roughly 38 microseconds a day relative to the ground, and the system is built to cancel it. Here is where the...
-
Does Observing a Particle Really Change It? Wha...
“Observation changes reality” is the most quoted line in pop quantum physics, and the least precise. Here is what measurement really does to a particle, what has been tested, and...
Does Observing a Particle Really Change It? Wha...
“Observation changes reality” is the most quoted line in pop quantum physics, and the least precise. Here is what measurement really does to a particle, what has been tested, and...
-
How Are Electricity and Magnetism Connected? Fr...
Two hundred years ago electricity and magnetism looked like separate curiosities. Then a compass needle twitched, and within fifty years they had become a single theory that also explained light.
How Are Electricity and Magnetism Connected? Fr...
Two hundred years ago electricity and magnetism looked like separate curiosities. Then a compass needle twitched, and within fifty years they had become a single theory that also explained light.