Undergrad What is the formula for plotting an accelerating involute curve?

[homerwho]

TL;DR

I once viewed an involute which the involute accelerated.

Can someone help me with a formula for an accelerating involute curve? I have found this wiki on involute

 

[mfb]

What do you mean by "accelerated"?

It looks like there is a lot of context missing.

 

[homerwho]

The circle of derivation is increasing as the "string" around that circle is enlarging

 

[Mark44]

Summary: I once viewed an involute which the involute accelerated.

Can someone help me with a formula for an accelerating involute curve? I have found this wiki on involute

This wiki page you cited has a formula for a general curve, and several more for specific types of curves. Isn't one of these what you're looking for?

 

[homerwho]

possibly. that's why I posted in the math forum. I can't decipher from that what I would need to plot. Thanks

 

[Mark44]

possibly. that's why I posted in the math forum. I can't decipher from that what I would need to plot. Thanks

For most of the formulas on the page you linked to, you need to do a parametric plot. For example, to plot $x(t) = t + \sin(t), y(t) = 3 + \cos(t)$ on the interval $[0, 2\pi]$, you can do this in WolframAlpha:

parametric plot (t + sin t, 3 + cos t), t=0..2pi

Here's a link to the plot - https://www.wolframalpha.com/input/?i=parametric+plot+(t+++sin+t,+3+++cos+t),+t=0..2pi