Range of Projectile from Trebuchet

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SUMMARY

The forum discussion centers on predicting the range of projectiles launched from a trebuchet, specifically using an 8 kg counterweight and a golf ball. The user calculated a theoretical range of 6 meters based on initial potential energy equating to final kinetic energy, but achieved a practical range of slightly less than 5 meters. The discrepancy is attributed to the aerodynamic properties of the golf ball, suggesting that the optimal launch angle for maximum range may be less than 45 degrees. The user is encouraged to experiment with a smooth, undimpled ball to potentially improve range accuracy.

PREREQUISITES
  • Understanding of basic physics principles, specifically potential and kinetic energy.
  • Familiarity with projectile motion and launch angles.
  • Experience with measuring velocity using high-speed cameras.
  • Knowledge of the effects of aerodynamics on different projectile shapes.
NEXT STEPS
  • Experiment with different projectile shapes, such as smooth balls, to compare range results.
  • Research the effects of launch angles on projectile motion to determine optimal angles for various projectiles.
  • Learn about the impact of air resistance and drag on projectile trajectories.
  • Explore advanced trebuchet designs that incorporate adjustable counterweights and slings for improved performance.
USEFUL FOR

This discussion is beneficial for physics enthusiasts, hobbyists building trebuchets, and educators looking to demonstrate principles of projectile motion and energy conservation.

kingbabi
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After having set up a trebuchet in my back yard, I decided it would be a fun excersise to predict the range of the projectiles launched. Now, I'm not nearly experienced enough at physics to take into account a hinger counterweight or a sling, so I removed those from the machine.Instead I used a fixed counterweight (8 kg of barbell weights attached to a 0.5 kg bolt) on the short arm and a small cup on the long arm, using a golf ball as a projectile. I set up some calculations (essentially setting initial PE equal to the final KE) to determine the velocity and range of the golf ball. The numbers seem to be perfect for the velocity (I used a high-speed camera and a grid to verify this) at 7 m/s, but it is the range that is inaccurate. I'm launching at 45 degrees from a height of 1.3 meters, which, according to http://en.wikipedia.org/wiki/Range_of_a_projectile" should give me a range of 6 meters. In practice, I'm getting slightly less than 5. I assume the drag isn't much of an issue, so what would you wager is causing the discrepancy? Thanks!
 
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Welcome to PF!

kingbabi said:
… the golf ball …

I assume the drag isn't much of an issue …

Hi kingbabi! Welcome to PF! :smile:

Golf-balls are very aerodynamic, with their little dimples. :wink:

The maximum range when hitting a golf-ball is at an angle a lot less than 45º, isn't it?

Have you tried it with an ordinary (undimpled) ball? :smile:
 


tiny-tim said:
Hi kingbabi! Welcome to PF! :smile:

Golf-balls are very aerodynamic, with their little dimples. :wink:

The maximum range when hitting a golf-ball is at an angle a lot less than 45º, isn't it?

Have you tried it with an ordinary (undimpled) ball? :smile:

Thanks for the welcome! I suppose I should try it with a similarly weighted but smooth ball; I could see that having a positive effect.
 

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