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

创建者

Penny

14. 十月 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.
中级
Two to three days

说明

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.

此步骤所需材料:

工具钢扁钢工具钢扁钢1 个

所需工具:

金属锉金属锉
手摇钻手摇钻
6 英寸数显卡尺6 英寸数显卡尺
铁匠炉铁匠炉
淬火水桶淬火水桶
安全眼镜安全眼镜
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.

此步骤所需材料:

硬木条硬木条2 个
低碳钢圆棒低碳钢圆棒0.3 m

所需工具:

金属锉金属锉
铁匠炉铁匠炉
淬火水桶淬火水桶
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.

此步骤所需材料:

黄铜板黄铜板1 个
上蜡亚麻线上蜡亚麻线3 m

所需工具:

铁皮剪铁皮剪
手摇钻手摇钻
金属锉金属锉
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.

所需工具:

金属锉金属锉
5

Cast the weights

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

此步骤所需材料:

黄铜锭黄铜锭2 公斤
木炭木炭1 as required
铸造砂铸造砂5 公斤

所需工具:

铁匠炉铁匠炉
耐火黏土坩埚耐火黏土坩埚
坩埚钳坩埚钳
砂型箱(上箱与下箱)砂型箱(上箱与下箱)
电焊手套电焊手套
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.

此步骤所需材料:

水水1 升

所需工具:

量筒量筒
金属锉金属锉
7

A binary set of weights

正在加载 Jupyter 笔记本…
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.

材料

9

所需工具

12

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