How can I design a roller project to roll down an incline as slow as possible?

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SUMMARY

The discussion focuses on designing a roller project that rolls down an incline as slowly as possible, utilizing a uniform radius of 0.5m and a mass between 0.25kg and 0.5kg. The ramp specifications include a length of 12 feet and a starting height of 6 inches. Key insights include the conversion of potential energy into kinetic and rotational energy, emphasizing the importance of maximizing rotational energy to minimize speed. The participant is advised to research formulas for rotational energy specific to various shapes, such as spheres, cylinders, and rings.

PREREQUISITES
  • Understanding of potential and kinetic energy concepts
  • Familiarity with rotational energy equations
  • Knowledge of basic physics principles related to motion
  • Ability to calculate energy transformations in rolling objects
NEXT STEPS
  • Research formulas for rotational energy for different shapes (sphere, cylinder, ring)
  • Learn about the conservation of energy in rolling motion
  • Explore the effects of mass distribution on rolling speed
  • Investigate materials and designs that enhance rotational energy
USEFUL FOR

This discussion is beneficial for students participating in science competitions, physics enthusiasts, and anyone interested in the principles of motion and energy transformation in rolling objects.

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Homework Statement


I have to make something that will roll down an incline as slow as possible. It needs to have a uniform radius of 0-.5m and have a mass between .25kg and .5kg. The ramp it needs to go down is a pine board 12' long, with a starting height of 6", and the ramp is 7.5" wide. I am not necessarily looking for how to do it exactly, but just help with what formulas and such to use. This stuff is beyond my limited knowledge of physics.


Homework Equations


Dont know any, that's why I am here.



The Attempt at a Solution


I don't really know where to start for this project. If it makes a difference, it is not a graded one for school, but for an after school science league competition. I am just looking for something to get me going in the right direction. thanks
 
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As it rolls down the ramp, potential energy will be converted into kinetic energy plus rotational energy. The more that goes into RE rather than KE, the slower it will go down. Find formulas for the rotational energy for rollers of various shapes (sphere, cylinder, ring ...). Choose the one that has the largest rotational energy for a given rolling speed.
 

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