Which relationship between the translational speed of the center of mass of a wheel…

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

Problem

Which relationship between the translational speed

v

of the center of mass of a wheel and its angular speed

\omega

about the center must be satisfied for the wheel (radius

r

) to move without slipping on a horizontal surface? (a)

v = 2\,r\omega

(b)

v = \dfrac{r\omega}{\sqrt{2}}

(c)

v = r\omega

(d)

v = \dfrac{1}{2}\,r\omega