Investigating the Effects of Loop Radius on Rollercoaster Performance

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SUMMARY

The discussion focuses on the impact of loop radius on rollercoaster performance, specifically how it affects the vehicle's ability to navigate loops. It is established that the minimum safe speed for a rollercoaster is directly related to the loop radius. When the loop radius is too small, the vehicle may not maintain contact, while a loop that is too large could result in the vehicle losing momentum and falling off. Newton's second law and the formula for centripetal acceleration are critical for analyzing these dynamics.

PREREQUISITES
  • Understanding of Newton's second law
  • Knowledge of centripetal acceleration
  • Familiarity with rollercoaster design principles
  • Basic physics concepts related to motion and forces
NEXT STEPS
  • Research the calculations for minimum safe speed in rollercoaster design
  • Explore the effects of different loop shapes on rollercoaster performance
  • Learn about the engineering principles behind rollercoaster safety
  • Investigate the role of gravity and inertia in rollercoaster dynamics
USEFUL FOR

Physics students, rollercoaster designers, engineers, and amusement park enthusiasts interested in the mechanics of rollercoaster performance and safety.

sillybilly
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im doing this eperiment on rollercoasters and i was wondering if loop radius effects the vehicle; like if the loop was to small will it make it through? or if the loop was to big will it make it or just simply fall off? :) THANKYOU
 
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Welcome to PF!

Hi sillybilly! Welcome to PF! :smile:
sillybilly said:
im doing this eperiment on rollercoasters and i was wondering if loop radius effects the vehicle; like if the loop was to small will it make it through? or if the loop was to big will it make it or just simply fall off? :) THANKYOU

Yes, the minimum safe speed does depend on the loop radius.

The car will lose contact when the reaction force is zero …

and you can find when and whether that happens by using good ol' Newton's second law and the formula for centripetal acceleration :wink:
 
ohh yes thankyou that's wat i did i just wanted to no if i was on the right track fanks a ton YAY :)
 

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