A flywheel of rotational inertia is to be spun up from rest

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A flywheel of rotational inertia

0.60\,\text{kg}\,\text{m}^{2}

is to be spun up from rest. A belt wrapped around its rim can exert a steady force of up to

50\,\text{N}

. Neglect all friction. What is the minimum belt-rim radius that will allow the flywheel to reach an angular acceleration of

6.0\,\text{rad}\,\text{s}^{-2}

without exceeding the belt’s maximum allowable tension? (a)

0.20\,\text{m}

(b)

0.050\,\text{m}

(c)

0.10\,\text{m}

(d)

0.12\,\text{m}