How Do You Calculate Operator Force and Torque in a Multi-Gear System?

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To calculate the operator force and torque in a multi-gear system, one must consider the gear ratios and the input crank length. The gearbox consists of four spur gears, with specific tooth counts and diameters that influence the mechanical advantage. The operator force can be derived from the torque applied at the input shaft, factoring in the gear ratios and the motor's 5 ft-lb torsional inertia, which needs clarification regarding its units. The mass moment of inertia should indeed be expressed in slug-ft² when using USC units, indicating a need for consistent unit application in calculations. Understanding these relationships is crucial for accurate design and functionality of the gearbox system.
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I am designing a gearbox to take a human input with a crank 12 in. long attached to a shaft that drives the first gear which goes through a gearbox and eventually turns a motor shaft in case of electrical failure. This is for a class concept design. The motor has 5ft-lb of torsional inertia and I need to calculate the operator force.
the gear box is set up with 4 spur gears, A,B,C, and D.
A is a 30t gear, 3in diameter
B is a gear with a big tooth and smaller gear attached to the top of it so that they both spin in the same direction at the same speed(see attached picture).
B will have a 60t large gear attached to a 10t small gear with respective diameters, 6 and 1 inches.
C is the same idea, the large is a 60t 6in. gear and the smaller is 30t, 3in.
D will be a single spur gear with 20t, 2in.

How do I calculate the torque or force that the operator must apply to the input shaft(the 30t gear, top left)
 

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What is 5ft-lb of torsional inertia about? The units do not make sense. Mass moment of inertia should be in slug-ft^2 if you are working in USC units with feet for length.
 
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