Fastest drivetrain in Aerial assist?

[Caleb Sykes]

Originally Posted by asid61

Interesting. I was more wondering about friction and stuff like that though, because it is (technically) possible to go faster than that using more motors/ power.
But 52fps... my god.

Okay, I'll play this game.

d = maximum linear distance robot can travel
μ = coefficient of static friction with carpet
g = acceleration due to gravity

The robot somehow manages to provide a constant force of μgm in the forward direction. It's mass is m, so the robot has a constant acceleration of a = μg. Assuming the robot starts at rest and x(0) = 0, then v(t) = μgt, and x(t) = (μg/2)*t^2. At x(t) = d, the velocity is the largest. Solving x(t) = d for t gives t = sqrt(2d/μg), so vmax = sqrt(2dμg).

Plugging in d = 60 feet, μ= 1.5, and g = 32ft/s^2 gives vmax = 76ft/s. Then either the robot or the field breaks depending on the quality of your bumpers.

I suppose the robot doesn't necessarily have to drive in a straight line though. If the robot spun in a circle for the whole match, then vmax would be μg*(match length). Using μ= 1.5, and g = 32ft/s^2 again, and match length = 150 s, vmax = 7200 ft/s. Although they would probably not continue the match after the sonic boom.