angular speeds

anil

I don't know how to solve the following problem:

A basketball rolls along the floor with a constant linear speed V. (a) Find the fraction of its total kinetic energy that is in form of rotational kinetic energy about the center of ball.

I think the answer is 2/5. But i don't know how to do it.

Doc Al

The total KE is the sum of the translational and rotational KE (about center of mass).
The translational KE = 1/2 MV²
The rotational KE = 1/2 Iω², where I is the rotational inertia of a spherical shell about its center (look it up!)

One can assume that it is rolling without slipping, which means that V = ωR.

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anil	angular speeds Tweet I don't know how to solve the following problem: A basketball rolls along the floor with a constant linear speed V. (a) Find the fraction of its total kinetic energy that is in form of rotational kinetic energy about the center of ball. I think the answer is 2/5. But i don't know how to do it.

Doc Al Mentor Blog Entries: 1	The total KE is the sum of the translational and rotational KE (about center of mass). The translational KE = 1/2 MV² The rotational KE = 1/2 Iω², where I is the rotational inertia of a spherical shell about its center (look it up!) One can assume that it is rolling without slipping, which means that V = ωR.