Original post by daddy1324
why does when a small cog turns a larger cog the larger cog has a bigger force
would it not be smaller because if moment=force * distance. if distance increases would force not decrease?
would it not be smaller because if moment=force * distance. if distance increases would force not decrease?
https://www.bbc.co.uk/bitesize/guides/ztjpb82/revision/4
Has a reasonable explanation. If the moment of the smaller cog is 20Nm and radius 0.05m, then the linear force on (one of the) teeth is 400N. This is equal and opposite to the force on the larger cog's teeth (radius 0.1) so the moment for the larger cog is 40Nm so
m1 / m2 = r2 / r1
The larger cog is going to be turning slower (angular velocity), but the moment is greater.
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