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is the input angular velocity, 
is the angular velocity of the driven driving gear, 
is the angular velocity of the driven gear and 
is the output angular velocity.
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Since the gear ratio is 2, it reduces the angular velocity but doubles the torque. This makes it easier for the user to rotate the larger disc disk at the output.
Figure 5 plots the output angular velocity versus the input angular velocity and Figure 6 plots the magnitude of the output linear velocity versus the magnitude of the input linear velocity.
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To analyze the input-output relationships over time, it was assumed that the mechanism starts from rest and the input is under a constant angular acceleration of 0.1 mrad/s2. Figures 7 and 8 plot the distance travelled and the velocity magnitudes of the train (output) and the user (input). These plots also include the distance travelled and velocity of the train if the train was placed at a radius that was equal to the input radius (in the model, the train is at three times the input radius).
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Figures 7 and 8 show that the train moves by a much larger distance than the input and it also moves much faster than the input. If the train was placed at a smaller radius, the output velocity would have been smaller than the input. Such a mechanism would have a mechanical advantage more than one and would be useful for a mechanism that would need force or torque amplification.
Therefore, the mechanism successfully makes it easier for the user to move the train at a fast speed.