3. Kinematic Analysis- Force

I found the two forces that act on a pinion wheel, the separating and tangential force. The separating force can be broken down into x and y components with the axial force representing the x-direction and the radial force acting in the y-direction.

These forces (tangential, axial, and radial) were plotted as a function of input torque. When doing this analysis, I made the assumption that the bevel gears were cone-shaped and had an actual thickness (face width). As we can see, the forces increase as the torque increases especially the tangential force. 

An interesting relationship I learned regarding the forces was that the axial force acting on the pinion is equal to the radial force acting on the driven gear and the radial force acting on the pinion is equal to the axial force acting on the driven gear. Lastly, the input/output force ratio at the gears is given by: