The discussion revolves around the concept of rotational kinetic energy and the relationship between mass, rotational inertia, and angular velocity in the context of two solid spheres with equal radii but differing masses. Participants explore how these factors influence the rotational kinetic energy of each sphere.
There is an ongoing exploration of the reasoning behind the conclusions drawn about the spheres' rotational kinetic energy. Some participants offer clarifications on the definitions and relationships involved, while others express confusion and seek further understanding of the concepts at play.
Participants note that both spheres have equal angular momentum, which complicates the relationship between their masses and rotational kinetic energies. The discussion highlights the need for clarity on the definitions of terms like "moment" and "inertia," as well as the formulas used in the context of rotational motion.
The answer is correct, but the reasoning is not.lc99 said:
While your conclusion may be correct, your reasoning is not correct.lc99 said:
SammyS said:
I'm not too sure either.. that's why i kinda made this post. I'm sort of confused cause i thought that sphere A would have higher rotational inertia since it weighs more. Inertia depends on mass , and the formula for the sphere is 2/5MR^2. Since sphere A has more mass, rotational inertia given by .5mr^2W^2 is higher. But we know that momenta, L = IW , is equal for both spheres. Since they both need to have equal L but sphere A has larger Inertia than sphere B.. this means that B has to make up the momenta by having greater angular velocity.ehild said:
lc99 said:
