calculating position using follower wheels

[flameout]

Originally Posted by Ether

Yeah; I had already prepared Question 6 back when everyone was using a closed-form analytical solution for Q(t). You beat me to the punch by setting up your numerical integration script.

Makes sense.

Originally Posted by Ether

Question 6 solution:

Spoiler for solution:

Position: ( -3.7271, -4.0749)
Distance: 60.8613

I think you are showing more decimal places than are warranted for the accuracy of your solution method.

I never bothered to do any accuracy analysis, so that's probably the case.

After lowering the tolerances and calculating bounds for the error (total error should be less than 1e-7), I got the following revised figures:

Spoiler for solution:

Position: (-3.7350, -4.0685)
Distance: 60.8668

New parameters and error analysis:
Relative and absolute tolerances set to 10^-12 (previously 10^-6): The error at each step should not exceed max(10^-12, |x * 10^-12|), where x is the current value of the ODE solution
Number of ODE solver steps: 1022
Maximum element of the state: 60.8668
Upper bound for error: max(10^-12, |60.8668 * 10^-12|) * 1022 = 6.2267e-08