Final answer:
When the angular acceleration of a rigid body is zero, the functional form of its angular velocity is constant, meaning the angular velocity does not change over time.
Step-by-step explanation:
If the angular acceleration of a rigid body is zero, then this implies that the rate of change of angular velocity with respect to time is zero. Hence, the angular velocity does not increase or decrease as time passes.
Given the options provided, the correct functional form of the angular velocity would be ω = constant, meaning that the angular velocity remains unchanged over time.