• Pixel-art Chimella, the Hot-Chocolate Bell, on a black mug with the slogan "TAP THE MUG. HEAR THE BUBBLES LEAVE."

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Chimella, the Hot-Chocolate Bell Mug

\[\frac{1}{\rho c^{2}} = \frac{1-\phi}{\rho_l c_l^{2}} + \frac{\phi}{\rho_g c_g^{2}}\]
$21.99 USD
$21.99 USD
İndirim Tükendi
Size

Hot chocolate effect: tapping pitch rises as bubbles leave, because bubbles lower the sound speed.

The joke: Rising pitch reveals bubble physics. The slogan on the mug reads TAP THE MUG. HEAR THE BUBBLES LEAVE.

Source: F. S. Crawford, Am. J. Phys. 50, 398 (1982).

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

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.

ShippingBy destination

Shipping calculated at checkout by destination.

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

Hot chocolate effect: tapping pitch rises as bubbles leave, because bubbles lower the sound speed.

The joke: Rising pitch reveals bubble physics. The slogan on the mug reads TAP THE MUG. HEAR THE BUBBLES LEAVE.

Source: F. S. Crawford, Am. J. Phys. 50, 398 (1982).

Equations

\[\frac{1}{\rho c^{2}} = \frac{1-\phi}{\rho_l c_l^{2}} + \frac{\phi}{\rho_g c_g^{2}}\]
\[f \propto c\]
SymbolMeaningUnit
\(\rho\) mean density of the bubbly liquid \(\mathrm{kg/m^3}\)
\(c\) sound speed in the mixture \(\mathrm{m/s}\)
\(\phi\) gas volume fraction —
\(\rho_l,\ c_l\) density and sound speed of the liquid —
\(\rho_g,\ c_g\) density and sound speed of the gas —
\(f\) resonant (tap) frequency \(\mathrm{Hz}\)

Sources

  1. F. S. Crawford, Am. J. Phys. 50, 398 (1982)

Field notes

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