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

Ṣẹ́dá nipasẹ̀

Penny

14. Oṣù Kẹwà 2026DK
25
0
0
4
0

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.
Àárín
Two to three days

Ìlànà

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.

Àwọn ohun èlò fún ìgbésẹ̀ yìí:

Ọ̀pá pẹlẹbẹ irin irinṣẹ́Ọ̀pá pẹlẹbẹ irin irinṣẹ́1 ẹyọ

Àwọn irinṣẹ́ tí a nílò:

Ìfá IrinÌfá Irin
Ìlù ọwọ́Ìlù ọwọ́
Òṣùwọ̀n Kálípà Díjítà Ìnṣì 6Òṣùwọ̀n Kálípà Díjítà Ìnṣì 6
Ìléru alágbẹ̀dẹÌléru alágbẹ̀dẹ
Àpótí ìtutùÀpótí ìtutù
Gíláàsì ààbòGíláàsì ààbò
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.

Àwọn ohun èlò fún ìgbésẹ̀ yìí:

Tẹ́ẹ́rẹ́ igi líleTẹ́ẹ́rẹ́ igi líle2 ẹyọ
Ọ̀pá Róbótó Irin Rírọ̀Ọ̀pá Róbótó Irin Rírọ̀0.3 m

Àwọn irinṣẹ́ tí a nílò:

Ìfá IrinÌfá Irin
Ìléru alágbẹ̀dẹÌléru alágbẹ̀dẹ
Àpótí ìtutùÀpótí ìtutù
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.

Àwọn ohun èlò fún ìgbésẹ̀ yìí:

Pẹlẹbẹ BronsePẹlẹbẹ Bronse1 ẹyọ
Okùn ọ̀gbọ̀ tí a fi ìdì kùnOkùn ọ̀gbọ̀ tí a fi ìdì kùn3 m

Àwọn irinṣẹ́ tí a nílò:

Ìlàǹkàn irinÌlàǹkàn irin
Ìlù ọwọ́Ìlù ọwọ́
Ìfá IrinÌfá Irin
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.

Àwọn irinṣẹ́ tí a nílò:

Ìfá IrinÌfá Irin
5

Cast the weights

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

Àwọn ohun èlò fún ìgbésẹ̀ yìí:

Ìṣù idẹÌṣù idẹ2 kg
ÈédúÈédú1 as required
Iyanrìn ìdàsílẹ̀Iyanrìn ìdàsílẹ̀5 kg

Àwọn irinṣẹ́ tí a nílò:

Ìléru alágbẹ̀dẹÌléru alágbẹ̀dẹ
Ìkòkò Amọ̀ Tí Ń Kojú InáÌkòkò Amọ̀ Tí Ń Kojú Iná
Ẹmú Ìkòkò Ìyọ́Ẹmú Ìkòkò Ìyọ́
Àpótí àwòṣe iyanrìn (òkè àti ìsàlẹ̀)Àpótí àwòṣe iyanrìn (òkè àti ìsàlẹ̀)
Ìbọ̀wọ́ wẹ́lídìnÌbọ̀wọ́ wẹ́lídìn
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.

Àwọn ohun èlò fún ìgbésẹ̀ yìí:

OmiOmi1 lítà

Àwọn irinṣẹ́ tí a nílò:

Silinda òǹwọ̀nSilinda òǹwọ̀n
Ìfá IrinÌfá Irin
7

A binary set of weights

Ń ṣí ìwé Jupyter…
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.

Àwọn ohun-èlò

9

Àwọn irinṣẹ́ tó nílò

12

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