How Do Revolutions Per Second Impact Force in Eddy-Current Speedometers?

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SUMMARY

The discussion centers on the relationship between revolutions per second of a permanent magnet in an eddy-current speedometer and the induced force on a metal cup or plate. Key equations relevant to this application include Faraday's Law of Electromagnetic Induction and Lenz's Law, which are essential for calculating the induced electromotive force (EMF) and the resulting force. The participant is at a sixth form level, familiar with single-variable calculus, and seeks to connect theoretical concepts to practical calculations. The goal is to derive a numerical relationship between the rate of revolution and the induced force.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with Lenz's Law
  • Basic knowledge of calculus, specifically single-variable calculus
  • Concept of eddy currents and their effects in conductive materials
NEXT STEPS
  • Research the mathematical derivation of Faraday's Law in relation to rotating magnets
  • Explore the application of Lenz's Law in calculating induced forces in eddy-current systems
  • Study the principles of electromagnetic induction in practical speedometer designs
  • Investigate how to experimentally measure revolutions per second and correlate them with induced forces
USEFUL FOR

This discussion is beneficial for high school students, physics enthusiasts, and educators focusing on electromagnetism, particularly those interested in practical applications of electromagnetic induction and speedometer technology.

jamhar89
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For my physics practical coursework I investigated how the rate of revolution of the permanent magnet in an eddy-current speedometer affects the turning force induced in the metal cup or plate.

I got the results I expected, and I am required to prove them using appropriate equations and calulations. Does anyone have any idea of which equations are relevant to this application?

Any help would be greatly appreciated!
 
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What level are you at: high school, introductory college/university, or intermediate college/university? What level of math: algebra only, single-variable calculus, multivariable (vector) calculus?

Do you have a textbook available to you as part of the course? What sort of material does it have about electromagnetic induction and Lenz's Law?
 
Last edited:
im at sixth form, so just before university. i do a fair bit of calculus, mainly single variable. I know about lenz's law and faraday's law, induction and all that, and that they have some relevence, I just don't see how they can be used for calculations to get numerical answers in this context. Basically, I need to relate revolutions per second to force
 

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