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

Yaremwe na

Penny

14. Ukwakira 2026DK
23
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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.
Hagati
Two to three days

Amabwiriza

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.

Ibikoresho by'iyi ntambwe:

Inkoni iringaniye y'icyuma cy'ibikoreshoInkoni iringaniye y'icyuma cy'ibikoresho1 igice

Ibikoresho bikenewe:

Ikariso ry'IcyumaIkariso ry'Icyuma
Igikoresho cyo gutobora gikoreshwa n'intokiIgikoresho cyo gutobora gikoreshwa n'intoki
Ikigereranyo cya Digitale cy'Amasentimetero 6Ikigereranyo cya Digitale cy'Amasentimetero 6
Uruganda rw'umucuziUruganda rw'umucuzi
Indobo yo gukonjeshaIndobo yo gukonjesha
Amadarubindi y'umutekanoAmadarubindi y'umutekano
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.

Ibikoresho by'iyi ntambwe:

Agace k'igiti gikomeyeAgace k'igiti gikomeye2 ibice
Umurongo Uzengurutse w'Icyuma CyoroshyeUmurongo Uzengurutse w'Icyuma Cyoroshye0.3 m

Ibikoresho bikenewe:

Ikariso ry'IcyumaIkariso ry'Icyuma
Uruganda rw'umucuziUruganda rw'umucuzi
Indobo yo gukonjeshaIndobo yo gukonjesha
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.

Ibikoresho by'iyi ntambwe:

Urupapuro rw'Umuringa w'UmuhondoUrupapuro rw'Umuringa w'Umuhondo1 igice
Umugozi wa lin ufite ibyumaUmugozi wa lin ufite ibyuma3 m

Ibikoresho bikenewe:

Ibyuma bikata ibyuma bisanzweIbyuma bikata ibyuma bisanzwe
Igikoresho cyo gutobora gikoreshwa n'intokiIgikoresho cyo gutobora gikoreshwa n'intoki
Ikariso ry'IcyumaIkariso ry'Icyuma
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.

Ibikoresho bikenewe:

Ikariso ry'IcyumaIkariso ry'Icyuma
5

Cast the weights

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

Ibikoresho by'iyi ntambwe:

Ikirundo cy'umuringa w'umuhondoIkirundo cy'umuringa w'umuhondo2 kg
AmakaraAmakara1 as required
Umucanga wo guteraUmucanga wo gutera5 kg

Ibikoresho bikenewe:

Uruganda rw'umucuziUruganda rw'umucuzi
Ikirahure cy'Ibumba Rirwanya UmuriroIkirahure cy'Ibumba Rirwanya Umuriro
Amakoro y'Icyombo GishongeshaAmakoro y'Icyombo Gishongesha
Agasanduku ko kubumbamo (ko hejuru n'ako hasi)Agasanduku ko kubumbamo (ko hejuru n'ako hasi)
Uturindantoki two gukomeza ibyumaUturindantoki two gukomeza ibyuma
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.

Ibikoresho by'iyi ntambwe:

AmaziAmazi1 litiro

Ibikoresho bikenewe:

Igipimo cy'ikirahure gifite imirongoIgipimo cy'ikirahure gifite imirongo
Ikariso ry'IcyumaIkariso ry'Icyuma
7

A binary set of weights

Gupakira ikaye ya Jupyterโ€ฆ
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.

Ibikoresho

9

Ibikoresho bikenewe

12

CC0 Umurenge rusange

Iyi blueprint yasohowe munsi ya CC0. Ushobora gukoporora, guhindura, gukwirakwiza no gukoresha nta kwemererwa.

Shyigikira Umuremyi ugura ibicuruzwa binyuze muri Blueprint ye Komisiyo y'Umuremyi byashyizweho n'Abacuruzi, cyangwa kora verisiyo nshya y'iyi Blueprint ukayinjiza nk'isano muri Blueprint yawe kugira ngo musangire inyungu.

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