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WEARABLES
Equal-Arm Balance on a Knife Edge, with a Set of Brass Weights
Penny

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Penny

14. October 2026DK
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Equal-Arm Balance on a Knife Edge, with a Set of Brass Weights

The oldest weighing machine is a beam with equal arms balanced on a pivot, a pan hanging from each end: put the load in one pan and known weights in the other until the beam lies level. Balances go back to the Fourth Dynasty of Egypt. A hardened knife edge makes it sensitive and a long pointer shows the smallest tilt; the weights are cast in brass and adjusted against each other. The picture: our diagram of the balance, its knife edge, pointer, pans and weights.
Intermediate
Two to three days

Instructions

1

Beam and knife edge

File a straight beam from flat tool steel with a hole exactly in the middle and one near each end, the two end holes equally far from the centre. Forge and file a short steel knife edge, harden and temper it, and fit it through the centre hole, edge down. File a long pointer onto the beam.

Materials for this step:

Flat Tool Steel BarFlat Tool Steel Bar1 piece

Tools needed:

Metal FileMetal File
Hand DrillHand Drill
Digital Caliper 6-InchDigital Caliper 6-Inch
Blacksmith ForgeBlacksmith Forge
Quench BucketQuench Bucket
Safety GlassesSafety Glasses
2

Stand and bearing

Make an upright stand of hardwood with a hardened steel V-block on top, shallower than the knife edge, so the beam rocks freely. Mark a zero line behind the pointer.

Materials for this step:

Hardwood StripHardwood Strip2 pieces
Mild Steel RodMild Steel Rod0.3 m

Tools needed:

Metal FileMetal File
Blacksmith ForgeBlacksmith Forge
Quench BucketQuench Bucket
3

Pans

Cut two equal brass discs, dish them slightly, drill three holes in each rim and hang each from an end hole on three equal cords.

Materials for this step:

Brass SheetBrass Sheet1 piece
Waxed Linen ThreadWaxed Linen Thread3 m

Tools needed:

Tin SnipsTin Snips
Hand DrillHand Drill
Metal FileMetal File
4

Trim to level

With both pans empty, file the heavier side until the pointer rests on zero. Swap the pans and check again: if the pointer moves, the arms are unequal and the end holes need moving.

Tools needed:

Metal FileMetal File
5

Cast the weights

Melt brass and cast a row of plain cylinders a little heavy in green sand.

Materials for this step:

Brass IngotBrass Ingot2 kg
CharcoalCharcoal1 as required
Casting SandCasting Sand5 kg

Tools needed:

Blacksmith ForgeBlacksmith Forge
Clay Crucible - RefractoryClay Crucible - Refractory
Crucible TongsCrucible Tongs
Cope and Drag FlaskCope and Drag Flask
Welding GlovesWelding Gloves
6

Adjust the weights

Balance the largest weight against a litre of water measured in the cylinder (one kilogram, our reference), filing it down until the beam is level. Make the smaller ones by balancing pairs against a larger one and against each other, filing each to level.

Materials for this step:

WaterWater1 liter

Tools needed:

Graduated CylinderGraduated Cylinder
Metal FileMetal File
7

A binary set of weights

Loading Jupyter Notebook...
8

Limits

The balance's form and use are as Wikipedia describes; the sizes and the water reference are ours. Water's density changes a little with temperature, so the reference is good to a few parts in a thousand.

Materials

9

Tools Required

12

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