Can Pi Help Us Understand Velocity and Acceleration?

[stidiek]

TL;DR

Imagine a compass that can move in two ways: 1- Opening it to make a Radius 2- Draw a circle. If we can imagine it going at the same velocity (or accelaration), can we create a phormula of velocity and aceleration base on Pi... and see what it implies?

Imagine a compass that can move in two ways: 1- Opening it to make a Radius 2- Draw a circle. If we can imagine it going at the same velocity (or accelaration), can we create a phormula of velocity and aceleration base on Pi... and see what it implies?

 

[Mark44]

Imagine a compass that can move in two ways: 1- Opening it to make a Radius 2- Draw a circle. If we can imagine it going at the same velocity (or accelaration), can we create a phormula of velocity and aceleration base on Pi... and see what it implies?

This is somewhat confused. If you're talking about the "velocity" at which the legs open, you need to describe that motion in terms of how many degrees or radians per second/minute/whatever the angle changes. You would also need to describe the rate at which the moving leg moves, either in inches/cm/whatever per second/minute/whatever or in terms of the rate of change of angle, relative to some fixed direction.

In any case, if one leg of the compass is moving outward, that leg will trace out a spiral, which does have a formula, but the formula doesn't have anything to do with the number $\pi$.

In polar coordinates, the equation $r = \theta$ represents a spiral.

 

[stidiek]

Hi, I think you get the idea behind it. We already had velocity and acceleration phormulas, but I'm proposing to imagine a fixed velocity in both movements of the compass, then, given that, Pi can be seen in terms of acceleration. Gravity and Pi are related in relativity phormulas, pendulum... etc... so I guess I'm just pointing to a previously searched region of questions... but maybe it's a refreshing thought.

 

[stidiek]

 

[fresh_42]

... but maybe it's a refreshing thought.

I'm afraid you're a couple of thousands years late. And its path length is known since 1670.

 

[stidiek]

I know that Pi has a value (incomplete)... Can we just talk about its relation with the acceleration (?)

 

[Mark44]

Thread closed.
There is no relationship between $\pi$ and your scenario with the compass.