Question Detail
Question
A bicycle wheel (hoop) rolls without slipping along the floor. The ratio of its translational kinetic energy to its rotational kinetic energy about an axis through its center of mass is...
Correct Answer
Option A is the correct answer.
Detailed Explanation
For a hoop, I = mR². Rotational KE = ½Iω² = ½(mR²)(v/R)² = ½mv². Translational KE = ½mv². Ratio = 1.
Hint
KE_trans = ½mv², KE_rot = ½Iω², with ω = v/R.