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72 - Stability and control

Published online by Cambridge University Press:  05 June 2014

T. W. Körner
Affiliation:
University of Cambridge
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Summary

The technique of using a windmill to grind corn is a complex one. Not only must the windmill sails be always set to catch the wind but their speed of rotation must be regulated so that the millstones grind at their optimum speed. Originally all these tasks were done by the miller but slowly simple semiautomatic and automatic devices were introduced to take over part of the work.

This change was most marked among British millers of the eighteenth century and it was by them that the most difficult problem, that of keeping the sails revolving at the proper speed, was solved. A centrifugal pendulum was employed to measure the angular velocity of the millstone and, working through additional mechanisms, to adjust the sail setting so as to reduce the sail speed if the angular velocity was too large or increase it if the angular velocity was too small.

This invention was taken up by James Watt and formed one of the chain of ingenious improvements to Newcomen's steam engine to which we referred in Chapter 42. Initially enclosed, to hide the secret from the eyes of Watt's competitors, the rotating centrifugal pendulum was soon proudly displayed as the visible symbol of man's control over steam.

Naturally, attempts were made to produce new or improved versions of ‘Watt's governor’, but not all were successful.

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Fourier Analysis , pp. 365 - 367
Publisher: Cambridge University Press
Print publication year: 1988

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  • Stability and control
  • T. W. Körner, University of Cambridge
  • Book: Fourier Analysis
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781107049949.074
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  • Stability and control
  • T. W. Körner, University of Cambridge
  • Book: Fourier Analysis
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781107049949.074
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Stability and control
  • T. W. Körner, University of Cambridge
  • Book: Fourier Analysis
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9781107049949.074
Available formats
×