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The figures bellow show the position, velocity, and acceleration of point p1 as a function of input crank angle. We can assume that the user provides a constant input velocity of 10 RPM. Therefore, there is no tangential acceleration. The position of this point is located 1 in. from the center of the crank wheel. The velocity of p1 is a constant 1.047 in./sec and acceleration is 1.097 in./sec^2.
The figure bellow shows a similar position, velocity, and acceleration analysis analyses of point p2 as a function of input crank angle. The . Here, the input crank has to make two full rotations before the train makes one rotation. The point p2 is located 2.75 in. from the center of the turntable. The velocity of p2 is a constant 1.440 in./sec and acceleration is 0.754 in./sec^2. Also bellow is a plot of position of p2 showing the circular trajectory around the track.
Finally, the relationship between input and output force can be defined by the following equation:
