alleryStart learning →Two wheels turn for the same time, but one sweeps a larger angle. What follows?
AIt has the smaller angular velocity
BIt has the smaller radius of turning
CIt has the larger radius of turning
DIt has the larger angular velocity
Answer & Solution
Correct answer: D. It has the larger angular velocity
1. Angular velocity is the rotation angle divided by the time in which it occurs.
2. Holding the time fixed, a larger angle therefore means a larger angular velocity.
3. The comparison says nothing about the radius, which does not enter the definition.
4. Radius matters only when converting angular velocity into linear velocity.
_Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section Angular Velocity_
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