Final answer:
The period (T) of the AC output from a rotating coil with angular velocity ω is given by T = 2π/ω, showing the direct relationship between the time for a full cycle and angular velocity.
Step-by-step explanation:
The question relates to the period of AC output of a rotating coil given its angular velocity ω. In physics, the period (T) of any cyclic or oscillatory motion is the time taken for one complete cycle.
For AC electricity generated by a rotating coil, this is inversely related to the angular frequency (ω).
The formula relating period (T) and angular velocity (ω) is T = 2π/ω, which corresponds to option (a).
Therefore, for an angular velocity (ω), the period of the AC output is the time it takes for the coil to complete one full rotation, which is 2π radians.