Recent content by Baluncore

It is the volume of copper that makes the difference. Volume is limited by the space between the poles. Bigger motors can be more powerful. If you double the cross-section of the wire, you will only get half as many turns in the available space, but you will be able to run twice the current...

I think it is more involved than that. The link I gave in post #10 includes "liquid water thermal conductivity correlation to temperature", so that will take density into account.

The reason why continuous smooth functions are required, rather than a table of data, is because the model will trip up on, or oscillate about, the steps in a data table.

To model water, you will need to calculate the unusual relationship between the temperature and the properties of water. Write out those functions as code for use later in your model. Check the functions against tables of data and other authors equations. You can start here...

Many applied mathematicians and skilled scientists would have trouble modelling the Mpemba effect. Here is a summary of the mathematical modelling and its complexity. There are plenty of references at the end of the paper. https://www.nature.com/articles/s42005-025-02251-6.pdf Without finite...

The concept of sliced infinity is mathematical, it cannot be applied to materials that are atomic.

Welcome to PF. Almost anything is possible under some given set of conditions. You will need to use numerical modelling of situations where it might be possible. Maybe only a 2D model is required. The Mpemba effect is an observation, not a rule.

Assuming two degrees of freedom, that the two axes are fixed in separation, as in post #14. Without that it could be chaotic, should the axis of the disk rise above the axis of the cylinder, the disk will fall away from the surface of the cylinder, introducing a period of disconnect, followed...

It should be combined with "talk like a pirate" day, since both have a maritime theme. https://en.wikipedia.org/wiki/Walk_Like_an_Egyptian#Inspiration Songwriter Liam Sternberg got the idea after watching people on a ferry struggle to keep their balance in rough water, which made their jerky...

I describe the cylinder rotation with a phasor. Since the cylinder is massive, there can be no step function in the cylinder rotation. The disk can roll, has inertia, so will swing like a pendulum. Take the Fourier Transform of the cylinder phasor and multiply it by the FT of the disk pendulum...

"Along" the cylinder's length, helical, or along an inner circumference. If the disk became a short cylindrical roller, it might restrict the question.

Does the disk have a finite thickness, volume, mass and inertia? Is the disk constrained to remain in a plane orthogonal to the cylinder axis, or can it fall onto one side and so stop rolling, then just flip heads and tails?

Welcome to PF. Easily, when an electron hits a target it may be absorbed, produce a photon of light, or another electron with a similar energy. If you remove an electron from the surface of a metal, and then accelerate it through a voltage difference of 1 volt, it will gain an energy of 1 eV...

Your PNA instrument has 1.0mm connectors, good from DC to 120GHz. You adapt the 1.0mm to 1.85mm which is then good only to 70GHz. You do NOT use SMA (≤18GHz), which is quite different from the 1.85mm system. The 1.85mm and SMA look very similar, but have different dimensions and threads, so they...