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PHY 101 PHY 101 Past Questions Objective Question

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...
Options
A 1
Correct Answer
B 2
C 3
D 1/2
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.

Question Info