Re:Speculoos-2c: A new potentially habitable earth
by ncmncm on Wednesday September 07, 2022 @10:28AM
(#32751081)
Centrifugal force is v^2/r, so smaller r increases it. And we have higher v, besides.
Re:Speculoos-2c: A new potentially habitable earth
by layer8 on Wednesday September 07, 2022 @10:49AM
(#32751377)
Centrifugal force is mω²r. Of course, v = ω2πr, which is why you have to divide v² by r. But if you compare based on the rotation period, increasing r increases the force, for the same rotation period.
Centrifugal force is proportional to the radius, so a smaller radius actually decreases it, for the same angular velocity. The reason we associate smaller radiuses with increased force is actually because if the energy stays the same, reducing the radius increases the angular velocity (like in a pirouette), which then “feels” like a stronger force.