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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
1
Beam and knife edge
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 Bar1 pieceTools needed:
Metal File
Hand Drill
Digital Caliper 6-Inch
Blacksmith Forge
Quench Bucket
Safety Glasses2
2
Stand and bearing
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 Strip2 pieces
Mild Steel Rod0.3 mTools needed:
Metal File
Blacksmith Forge
Quench Bucket3
3
Pans
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 Sheet1 piece
Waxed Linen Thread3 mTools needed:
Tin Snips
Hand Drill
Metal File4
4
Trim to level
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 File5
5
Cast the weights
Cast the weights
Melt brass and cast a row of plain cylinders a little heavy in green sand.
Materials for this step:
Brass Ingot2 kg
Charcoal1 as required
Casting Sand5 kgTools needed:
Blacksmith Forge
Clay Crucible - Refractory
Crucible Tongs
Cope and Drag Flask
Welding Gloves6
6
Adjust the weights
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:
Water1 literTools needed:
Graduated Cylinder
Metal File7
7
A binary set of weights
A binary set of weights
Loading Jupyter Notebook...
8
8
Limits
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- 1 piecePlaceholder
- 2 piecesPlaceholder
- 0.3 mPlaceholder
- 1 piecePlaceholder
- Placeholder
- 2 kgPlaceholder
- 1 as requiredPlaceholder
- 5 kgPlaceholder
- 1 literPlaceholder
Tools Required
12- Placeholder
- Placeholder
- Placeholder
- Placeholder
- Placeholder
- Placeholder
- Placeholder
- Placeholder
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