For a rigid object that rolls without slipping

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

Problem

For a rigid object that rolls without slipping, which relationship correctly connects its linear acceleration

a

to its angular acceleration

\alpha

and radius

r

? (a)

a=2\alpha r

(b)

a=\alpha r

(c)

a=-\alpha r

(d)

a=\dfrac{\alpha r}{2}