Convert 55lb-65lb Draw Weight to 1/2kx^2

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SUMMARY

This discussion focuses on converting draw weight measurements of 55lb-65lb into the formula 1/2kx^2, applicable for calculating potential energy in archery. The conversion utilizes pounds-of-force and feet for the variable x, with the spring coefficient k expressed in pounds/foot. For energy calculations in Joules, users must convert pounds-of-force to Newtons using the conversion factor of 4.445 Newtons per pound. The participant also mentions successfully applying a different method involving arrow velocity to achieve results.

PREREQUISITES
  • Understanding of the formula for potential energy, specifically 1/2kx^2.
  • Familiarity with unit conversions between pounds and Newtons.
  • Basic knowledge of archery dynamics and draw weight.
  • Experience with energy calculations in both foot-pounds and Joules.
NEXT STEPS
  • Research the application of the formula 1/2kx^2 in mechanical systems.
  • Learn about unit conversion techniques between imperial and metric systems.
  • Explore the relationship between arrow velocity and kinetic energy in archery.
  • Investigate the effects of different draw weights on arrow performance and energy transfer.
USEFUL FOR

This discussion is beneficial for archers, physics students, and engineers interested in the mechanics of archery and energy calculations related to draw weights and projectile motion.

logaliciouz
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I'm Canadian, and I'm trying to convert the draw weight (55lb-65lb) into something I can put into 1/2kx^2. Please help!
 
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You can use pounds-of-force directly and using feet for x, so long as you are happy with coefficient k being in pounds/foot, which are standard imperial units for spring coefficient.

Keep in mind that you'll get energy in foot-pounds. If you want to get energy in Joules, you should use meters for x and convert pounds-of-force to Newtons. There are 4.445 Newtons to a pound.
 
okay thanks, I actually tried using a different method of finding it, using the velocity of the arrow, and it ended up working
 

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