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7 - SPIN EFFECTS

Published online by Cambridge University Press:  05 June 2012

Neville de Mestre
Affiliation:
Bond University, Queensland
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Summary

“______, when I remembered that I had often seen a tennis ball, struck with an oblique racket, describe such a curveline. For, a circular as well as a progressive motion being communicated to it by that stroke, its parts on that side, where the motions conspire, must press and beat the contiguous air more violently than on the other, and there excite a reluctancy and reaction of the air proportionably greater …..”

Sir Isaac Newton (1642 - 1727)

Overcoming Yaw

When a non-spherical projectile is fired or launched its longitudinal axis rarely lies along the tangent to its trajectory, so there is a non-zero angle of yaw. As a result of yaw the air acts on the projectile to produce

  1. (i) an increased drag compared with the drag at zero yaw,

  2. (ii) a deviating force which tends to alter the projectile's trajectory,

  3. (iii) an overturning moment which rotates the projectile about its centre of gravity.

The last was discussed in Section 6.7, and may increase or decrease the yaw depending on the design of the projectile. A decrease in yaw is obtained by fitting fins to some projectiles (darts, arrows, bombs and mortar shells), so providing a method of stabilising the projectile and its trajectory. This method of stabilisation has some disadvantages however, the principal one being that a cross-wind tends to interact with the fins and push the projectile well off course.

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Publisher: Cambridge University Press
Print publication year: 1990

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  • SPIN EFFECTS
  • Neville de Mestre, Bond University, Queensland
  • Book: The Mathematics of Projectiles in Sport
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511624032.008
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  • SPIN EFFECTS
  • Neville de Mestre, Bond University, Queensland
  • Book: The Mathematics of Projectiles in Sport
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511624032.008
Available formats
×

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.

  • SPIN EFFECTS
  • Neville de Mestre, Bond University, Queensland
  • Book: The Mathematics of Projectiles in Sport
  • Online publication: 05 June 2012
  • Chapter DOI: https://doi.org/10.1017/CBO9780511624032.008
Available formats
×