so...

I have a rotating cylinder. there is a path plotted out on the cylinder for a cam follower to move on.

I "unrolled" the cylinder about its axis. It's 1 inches in diameter. So now I have a 2D plot of X axis = 1*pi inches wide and Y axis is lets say 4 inches high.

I know what my rotational speed is lets say 2*pi rad per second.

I need to find the instantaneous acceleration and velocity of the cam follower on a plot defined on the 2D (x,y) plot

It's just I have no idea how to "scale" the 2*pi rad/sec to the 2D plot??? How is that done?

Thanks!