What’s the math to figure torque based on stator size?

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The smaller 69x50mm stator comes from this 83100 motor and claims 7nm torque. What would this 100x50mm stator be capable of assuming same magnets?
 

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Torque is proportional to current but a motor has the same maximum torque regardless of how wound based on the magnet strength and electrical steel ability to hold a strong magnetic field. Typically magnets are around n48 and the steel holds 2 tesla before saturating so should be able to assume and compare max torque based on airgap surface area and diameter
 
100/69= 1.45
1.45^2 (for surface area and leverage)is 2.1
So 100x50 stator can produce roughly 2.1x the torque of the 69x50 stator assuming similar magnets and steel, which they will be.

This is the math I got on another forum.
 
100/69= 1.45
1.45^2 (for surface area and leverage)is 2.1
So 100x50 stator can produce roughly 2.1x the torque of the 69x50 stator assuming similar magnets and steel, which they will be.

This is the math I got on another forum.
Yep that's the rough way to do it. 1.45x more surface area and 1.45x greater leverage. The 1.45x bigger surface may also be able to transfer 1.45x more heat for the same temperature differential, so you could multiply by 1.45 again if you're willing to burn more heat and looking for continuous torque instead of peak torque.
 
I don’t know what you’re writing and only capable of basic math but I still think both the increased surface area and the increased lever arm need to be included in the equation and 1.45^2 = 2.1x seems to make sense as the equation for the increase in max possible torque between the 69mm and 100mm stator.

I don’t know if the manufacturer’s claim of 7nm peak torque is before the steel starts to saturate or after and seems there’s about another 20% torque possible after starting to saturate and inefficient

magnets will lose a bit of magnetism with heat depending on their rating, will the stator similarly lose the max field strength it can hold with heat?
 
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What are you saying would be the max torque out of the 100x50 stator in relation to the 69x50 stator?

The lever arm is increased though.
 
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218mm circumference for 69x50 stator 314mm circumference for 100x50 stator


314/218 = 145% the airgap surface area for the 100mm stator.

surely the increased lever arm must be included and a 45% longer lever is going to produce 45% more torque. the surface area of the airgap could be the result of a longer/taller stator having no increase in torque or a bigger diameter stator as in this case

I think 1.45^2 is the answer and the 100x50 stator has 2.1x the max torque of the 69x50 stator.
 
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