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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.
Ophakathi
Two to three days
Imiyalelo
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.
Izinto zokwakha zalesi sinyathelo:
Induku eyisicaba yensimbi yamathuluzi1 ucezuAmathuluzi adingekayo:
Insimbi yokuhlikihla izinsimbi
Ibhola lesandla
I-Caliper Yedijithali Yamayintshi Ayi-6
Iziko lomkhandi wensimbi
Ibhakede lokupholisa
Izibuko zokuphepha2
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.
Izinto zokwakha zalesi sinyathelo:
Umucu wokhuni oluqinile2 izicucu
Ubhamu Oluyindilinga Lwensimbi Ethambile0.3 mAmathuluzi adingekayo:
Insimbi yokuhlikihla izinsimbi
Iziko lomkhandi wensimbi
Ibhakede lokupholisa3
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.
Izinto zokwakha zalesi sinyathelo:
Ishidi Lethusi Eliphuzi1 ucezu
Intambo ye-linen enewaksi3 mAmathuluzi adingekayo:
Isikeli sensimbi
Ibhola lesandla
Insimbi yokuhlikihla izinsimbi4
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.
Amathuluzi adingekayo:
Insimbi yokuhlikihla izinsimbi5
5
Cast the weights
Cast the weights
Melt brass and cast a row of plain cylinders a little heavy in green sand.
Izinto zokwakha zalesi sinyathelo:
Ingqimba yebhrasi2 kg
Amalahle1 as required
Isihlabathi sokubumba5 kgAmathuluzi adingekayo:
Iziko lomkhandi wensimbi
Imbiza Yobumba Emelana Nomlilo
Udlawu Lwesitsha Sokuncibilikisa
Ibhokisi lokubumba (elingaphezulu nelingaphansi)
Amagilavu okushisela6
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.
Izinto zokwakha zalesi sinyathelo:
Amanzi1 ilithaAmathuluzi adingekayo:
Isilinda esinezilinganiso
Insimbi yokuhlikihla izinsimbi7
7
A binary set of weights
A binary set of weights
Ilayisha incwadi ye-Jupyterโฆ
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.
Izinto
9- Isibambeli
- 2 izicucuIsibambeli
- Isibambeli
- 1 ucezuIsibambeli
- Isibambeli
- Isibambeli
- 1 as requiredIsibambeli
- Isibambeli
- 1 ilithaIsibambeli
Amathuluzi Adingekayo
12- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
- Isibambeli
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