Marble Funnel Physics

Im making 3d printed marble machine and i want to create a hyperbolic funnel like this.

Marble funnel physics.

The entrance of a science museum features a funnel into which marbles are rolled one at a time. The marble run comprises a flexible plastic track built from two parallel rails much like a railway. The internal radius of the funnel at the top is 1 50 m. Common claim that the orbits of the rolling marble or coin are the same as the kepler orbits for planets revolving around the sun.

By adding measurement tools the mathematics underpinning the physics may be demonstrated in a very powerful way linking back to the original insights of mathematical scientists such as isaac newton. I m marblerunzfreak and im here to show you my unique and different marble runs. You need to find the time tau it will take for the marble to make its way down and the full magnitude of the final velocity on exit not only the. As this marble goes around it experiences kinetic friction mu k only in the up down direction not the tangential direction.

Furthermore we find that the types of trajectories that can arise depend heavily on the funnel shape. Hey all long story short. I ve come this far but i have no idea how to get it to hyperbolic shape. Build taller trickier marble runs with this deluxe set.

I know i should be using conic curve right. At the bottom the funnel s neck narrows to an internal radius of 0 025 m. The marble run isn t that appealing considering the fact that there s duct tape all over it. These are my first marble runs all made out of a thick kind of.

I ll be uploading plenty once i make some more. Other than the appearance it works 100 of the time. Large marble funnel duration. It answers the question how do the coins spin around the funnel and not fall over and a whole lot more.

The marbles circle around the wall of the funnel eventually spiraling down into the neck of the funnel. In fact it is straightforward to show that for no funnel surface can the kepler orbits be recovered. A marble of mass m is going around the funnel slowly making its way down to the bottom hole which is negligibly small. The set includes marble run stunt pieces such as a spinner slide marble jump double funnel and track splitter and much more.

Building and playing with the motorized elevator marble run is a great way to introduce children to the basic fundamentals of physics.