alleryStart learning →Which rotational equation gives angular velocity after a time t under constant angular acceleration?
Aomega = omega_0 + alpha t
Bomega = omega_0 + alpha t^2
Comega = alpha t - omega_0
Domega = omega_0 alpha t
Answer & Solution
Correct answer: A. omega = omega_0 + alpha t
1. The straight-line counterpart is v = v_0 + a t for constant acceleration.
2. Substituting v = r omega and a = r alpha gives r omega = r omega_0 + r alpha t.
3. The radius cancels throughout, leaving omega = omega_0 + alpha t.
4. The version with t squared belongs to the angle equation, not the angular velocity equation.
_Source: OpenStax College Physics (CC BY 4.0), Ch 10 "Rotational Motion and Angular Momentum", section 10.2 Kinematics of Rotational Motion_
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