The discussion revolves around finding a formula for plotting an accelerating involute curve. Participants explore the concept of acceleration in the context of involute curves, seeking clarity on the mathematical representation needed for plotting.
Participants do not appear to reach consensus on the definition of "accelerated" in this context, and there are multiple competing views regarding the appropriate formulas and methods for plotting the curve.
There is uncertainty regarding the specific definition of acceleration in relation to involute curves, as well as the applicability of the formulas provided in the referenced wiki page. The discussion reflects varying levels of understanding and interpretation of the mathematical concepts involved.
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 said: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
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:homerwho said:possibly. that's why I posted in the math forum. I can't decipher from that what I would need to plot. Thanks