A spool floating in space has radius r mass m and moment of inertia about its center I = β mr2. The spool is unwound by a constant force F. If initially the spool is motionless, at some later time what is the ratio of translational kinetic energy to rotational kinetic energy?
1. Ktrans / Krot = (1 + β)2
2. Ktrans / Krot = β2
3. Ktrans / Krot = 1 / β
4. Ktrans / Krot = 1 − β
5. Ktrans / Krot = (1 + β) / β
6. Ktrans / Krot = 1 / β 2
7. Ktrans / Krot = (1 − β)2
8. Ktrans / Krot = 1 + β
9. Ktrans / Krot = β
10. Ktrans / Krot = (1 − β) / β
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Energy of Rolling Motion concept. You can view video lessons to learn Energy of Rolling Motion. Or if you need more Energy of Rolling Motion practice, you can also practice Energy of Rolling Motion practice problems.
How long does this problem take to solve?
Our expert Physics tutor, Jeffery took 6 minutes and 48 seconds to solve this problem. You can follow their steps in the video explanation above.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Florin's class at TEXAS.