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I chose to design a worm gear single speed reduction gearbox. I know the basics of what composes it which are the worm, worm gear, input and output shaft bearings and the housing the gears are in, as well as a proper power source which will allow my gearbox to function. I found a gearbox with specifications online, but i need to do some sort of calculations that justify why i can chose them.

For instance, say i gearbox with a 60:1 gear ratio, i am supposed to justify why i this ratio is applicable.

i am also supposed to justify the materials that i am using through some sort of calculations but i am not sure how to.

If someone could set me in the right direction, as to what analysis i should do and with what equations. I would greatly appreciate it