Ball rolling down a hill using diameter

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SUMMARY

The discussion focuses on calculating the theoretical time it takes for a spherical object to roll down an 8-foot ramp made of channeling. The key equations presented are t = (2gh)^(1/2) for time and v = (2gh)^(1/2) for final velocity, where g represents the acceleration due to gravity and h is the height of the ramp. Friction is disregarded in this scenario, simplifying the calculations. The user seeks clarification on vector problems related to this motion.

PREREQUISITES
  • Understanding of basic physics concepts, specifically gravitational acceleration.
  • Familiarity with the equations of motion for rolling objects.
  • Knowledge of vector analysis in physics.
  • Basic geometry to determine the height of the ramp.
NEXT STEPS
  • Research the effects of friction on rolling motion in real-world applications.
  • Explore advanced vector analysis techniques for motion problems.
  • Learn about different types of ramps and their impact on rolling dynamics.
  • Investigate the relationship between ramp angle and rolling speed.
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Physics students, engineers, and hobbyists interested in mechanics and the dynamics of rolling objects.

pogo2065
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Hello everyone!

I am new here, so I am not sure how things normally work.

anyways, on the the problem.

I have a ramp made out of channeling, approximately 8 foot long, that i am going to roll spherical objects down. i want to find out the theoretical time it will take. friction doesn't matter since the channeling is going to be positioned in a way that the balls will rool down on two thin "lines" of channeling. if you need ill post a picture later when I am at home.

i believe it reduces to a vector problem, but its been a while (6+ months) since I've done vectors.

If you need any more information just ask and ill provide you with it.

Thanks!
 
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</code>If you need to determine the theoretical time it will take for a ball to roll down a ramp, you can use the equation t = (2gh)^1/2, where g is the acceleration due to gravity, h is the height of the ramp, and t is the time it will take for the ball to roll down the ramp. Since friction does not matter in this situation, the equation should be valid. You can also use the equation v = (2gh)^1/2 to calculate the final velocity of the ball at the bottom of the ramp.
 

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