Error in Wikipedia Cavendish article

AI Thread Summary
The discussion highlights a potential error in the Wikipedia entry regarding Cavendish's measurement of gravitational force. The original claim states that Cavendish measured a force equivalent to the weight of a large grain of sand at 0.13 mg, but calculations show that this should be significantly lower, at approximately 0.0177 mg. The discrepancy suggests that the Wikipedia figure is 7.3 times higher than it should be. Participants express skepticism about Cavendish's ability to measure such a small force given the challenges of air resistance and mechanical friction in his apparatus. Overall, the conversation raises questions about the accuracy of historical scientific claims.
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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