Error in Wikipedia Cavendish article

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Discussion Overview

The discussion revolves around a potential error in the Wikipedia article regarding Cavendish's measurement of gravitational force. Participants analyze the reported force and its implications, focusing on the calculations related to the weight of a grain of sand and the feasibility of Cavendish's measurements.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant questions the accuracy of the Wikipedia claim that Cavendish measured a force of 1.74E-7 N corresponding to a weight of 0.13 mg, suggesting their calculations yield a much lower mass of 0.0177 mg.
  • Another participant performs their own calculations, confirming the initial participant's result and suggesting that the weight should be described as that of a small grain of sand instead of 0.13 mg.
  • A third participant expresses skepticism about the reported measurement, arguing that it seems implausible for Cavendish to measure such a small force given the challenges of air resistance and mechanical friction in the apparatus.
  • A fourth participant questions the mention of air resistance and mechanical friction, implying a need for clarification on that aspect.

Areas of Agreement / Disagreement

Participants do not reach a consensus. There are competing views regarding the accuracy of the Wikipedia article and the feasibility of Cavendish's measurements, with some agreeing on the calculation discrepancies while others challenge the assumptions made about the experimental conditions.

Contextual Notes

The discussion highlights potential limitations in the assumptions made about the measurements, including the effects of air resistance and mechanical friction, which remain unresolved.

waverider
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According to Wikipedia, Cavendish was able to measure a force of 1.74E-7 N or “roughly the weight of a large grain of sand[13] of 0.13 mg”

However, with my calculations using m=F/g, where g=9.81m/s/s

Gives m=1.74E-7/9.81 = 1.77E-8 kg = 0.0177 mg

Which is much less than 0.13 mg

Am I missing something?
 
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Let's see...

0.13 mg = 0.00013 g = 0.00000013 kg = 1.3x10^-7 kg
F = MG
F = 1.3x10^-7 * 9.81
F = 1.28x10^-6 Newtons

Hmm... you appear to be correct.
Perhaps it should be a small grain of sand?
 
Indeed, the Wikipedia weight is 7.3 times higher.
I find it impossible that Cavendish was able to measure such a tiny force of attraction between the metal spheres and this force was able to overcome the air resistance and mechanical friction which was apparent in the apparatus.
 
What air resistance and mechanical friction?
 

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