Final answer:
An object at a fixed point on the equator has an angular velocity due to the Earth's rotation, completing a full rotation approximately every 24 hours.
Step-by-step explanation:
Yes, an object at a fixed point on the equator does have angular velocity because the Earth is rotating about its axis. As it rotates, every point on the equator traces out a circular path in space, which means that each point has a certain angular velocity even if it's not moving relative to the surface of the Earth.
The angular velocity is constant and equals the rate of Earth's rotation, which is approximately 0.0000727 radians per second or 24 hours for a full rotation (one day).