Mendeleev.com · Objects

How does a scale work? From balance weights to digital sensors

For centuries, weighing meant comparing an unknown mass with known masses. Today, a kitchen scale turns a tiny deformation into an electrical signal.

Balance mécanique
object
800 g
500 g200 g100 g
Balance numérique
800 g
The beam is the horizontal bar that pivots at the centre and carries the two pans. When it settles horizontally, the two sides are balanced.

The classic two-pan balance

On an equal-arm balance, the object goes on one pan and known masses go on the other. When the beam becomes horizontal, the gravitational forces on both sides balance. Because both sides are in the same gravitational field, the comparison gives the mass of the object.

A shopkeeper could combine marked masses — for example 500 g, 200 g and 100 g — until the pointer returned to zero. The object would then have the same mass as the sum: 800 g.

This is why the old instrument is fundamentally a comparator. It does not need to know the local value of gravity to compare equal masses placed side by side.

What a digital scale measures

Most modern household scales use one or more load cells. A metal element bends by an extremely small amount under load. Strain gauges bonded to it change electrical resistance as they stretch or compress.

Electronics measure that tiny resistance change, amplify the signal and convert it into a displayed mass after calibration. The scale therefore senses a force first, then translates the signal into grams or kilograms.

Object being weighedunknown mass
=
500 g + 200 g + 100 gknown masses

At balance: 500 + 200 + 100 = 800 g. The object on the opposite pan therefore has a mass of 800 g.

The digital display also reads 800 g so the two drawings describe the same object. The mechanical balance reaches 800 g by comparison; the digital scale reaches it from the tiny deformation of its load cell.

In the kitchen: mass, volume and density

Recipes often mix grams and millilitres, but they are different quantities. A gram measures mass; a millilitre measures volume. Converting one into the other requires the density of the ingredient. Water is close to 1 g/mL near room temperature, but flour, oil, honey and sugar are not.

Old balance: compare an unknown mass with known masses. Digital scale: measure a deformation electrically, then convert the signal into a mass reading.