Relations between the Dispersion of Balance and the Roughness of the Surface of Knife Edge and Flat Bearing

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  • てんびんのばらつきに及ぼすナイフエッジおよび刃受の表面あらさの影響
  • テ ンビン ノ バラツキ ニ オヨボス ナイフエッジ オヨビ ハジュ ノ ヒョウメンア ラ サ ノ エイキョウ

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As the causes of the dispersions in the measurements with a balance, we considered the roughnesses of the knife edge and the flat bearing. About this problem, we made a thorough research on various knife edges, and as a result the following formula was found. σΔW=W/L·α·b where σΔW is the standard deviation of dispersions, W is the load supported by the knife edge, L is the distance between center and end knife edge, α is a constant, b is the breadth calculated by Hertz's equation. However, the roughness of the knife edge, and the flat bearing treated in our preceding reports, was nearly constant, consequently α was nearly constant, α must be the function of the roughness, so we changed this time the roughness of the flat bearings in a wide range, and observed σΔW. We found two essential sources of the dispersions as well as the quantitative relations between them.

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