Ball rolling down a hill using diameter

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To calculate the theoretical time for a spherical object to roll down an 8-foot ramp, the equation t = (2gh)^1/2 can be used, where g is the acceleration due to gravity and h is the height of the ramp. Friction is not a factor in this scenario, as the ramp is designed for the balls to roll on two thin lines of channeling. Additionally, the final velocity of the ball at the bottom can be determined using v = (2gh)^1/2. This approach simplifies the problem to basic physics principles without the need for complex vector analysis. The discussion emphasizes the importance of height in determining both time and velocity.
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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