Solving the Rolling Wheel Problem - Get Maximum Distance

In summary, the conversation is about a problem with rolling wheels and how to calculate the theoretical maximum distance the wheel can travel. The wheel has two baskets hanging between two balanced double wheel rims connected by spokes. The weight added to the top basket causes the wheel to rotate and drop the bottom basket. The person is unsure of how to calculate the maximum distance and is seeking guidance. They mention considering friction and finding the rolling coefficient of friction for wood on concrete, as well as understanding the work and power involved in the movement of the wheel. They are looking for formulas to help them fit all the information together.
  • #1
supamanc
4
0
i have a problem regarding rolling wheels. ihave a double wheel rim connected by spokes, which is in perfect balance, with two baskets hanging between them, on opposite sides of the wheel, such that when a weight is added to the top basket the wheel will rotate, dropping the basket at the bottom and continuing until it angular momentum runs out (177 feet is the furthest distance achieved!)

i would like to know how i can calculate the theoretical maximum distance i should be able to get. i can work out the angular velocity and the moment of inertia, but i am lost as to what to do next, any guidance would be appreciated.
 
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  • #2
My guess: It will keep going forever unless you take into account friction.
 
  • #3
ahh, unfortunately i do not have any grounding in physics (bar what my internet research has taught me!). I know that friction is what is going to bring the wheel to a halt, but i don't know how to work out what the friction is. i assume that once i know the friction, i can use it with the angular momentum to calculate the max possible distance??

i tried to find the rolling coefficient of friction for wood on concrete but did not have any luck

i am not even sure how much work is being applied to the wheel
the weight produces a force, which unbalances the wheel, straight down, producing horizontal movement, so how can i work out how much work/power i am getting from it?

just some formulea would be helpfull, i can directly observe lots of things, like the mass, radius, contact surface area ect, i just need to know how i can fit it all together!
 
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FAQ: Solving the Rolling Wheel Problem - Get Maximum Distance

How do you define the "rolling wheel problem"?

The rolling wheel problem is a physics problem that involves finding the maximum distance a wheel can travel before returning to its starting point. The wheel is assumed to be rolling without slipping on a flat surface with no external forces acting on it.

What is the formula for calculating the maximum distance in the rolling wheel problem?

The formula for calculating the maximum distance in the rolling wheel problem is given by d = 2πr, where d is the maximum distance and r is the radius of the wheel.

How do you know when the wheel has reached its maximum distance?

The wheel has reached its maximum distance when it has completed one full rotation and has returned to its starting point. This means that the distance traveled is equal to the circumference of the wheel.

Can the rolling wheel problem be solved for non-circular wheels?

No, the rolling wheel problem can only be solved for circular wheels because the formula for calculating the maximum distance relies on the circumference of the wheel, which is only applicable to circular shapes.

How can the rolling wheel problem be applied in real-world situations?

The rolling wheel problem can be applied in various real-world situations, such as determining the maximum distance a car can travel on a flat tire, calculating the maximum distance a ball can roll on a flat surface, or finding the optimal size of a wheel for a particular vehicle.

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