A bicycle wheel can be modeled as a thin hoop of mass and radius

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A bicycle wheel can be modeled as a thin hoop of mass

4.0\,\text{kg}

and radius

0.50\,\text{m}

. While coasting, its center moves forward at

2.0\,\text{m\,/\,s}

, and the rim speed relative to the center is

5.0\,\text{m\,/\,s}

. Calculate the total kinetic energy of the wheel at this instant.