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I seem to recall that it takes exactly the same energy to maintain a constant speed no matter what the weight.
I'm just a chem. eng. so I only had to take statics (got out of dynamics. :-) ) so you mechs feel free to jump in and correct me.
If you're talking linear motion.......kinetic engery = 0.5 X mass X (velocity)^2 so KE is a function of velocity and mass. (i.e. same mass and velocity = same KE. different mass and same velocity = different KE)
If you're talking rotational energy....KE = 0.5 X Moment of Inertia X angular velocity Were the moment of inertia = mass X radius^2 so rotational KE is also a function of velocity and mass. (i.e. same weight and angular velocity = same KE. Different mass and same velocity = different KE)
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But something about heavier wheels "requiring less power to maintain the same speed" just doesn't sound right
I don't know about this either. I think people are talking about adding mass to the rim to create a flywheel. Is this better?????? I didn't take dynamics. :-)