There are numerous objects in the real world that can rotate with constant angular velocity. Here are a few examples:
Ceiling fans: Ceiling fans rotate at a constant angular velocity when switched on. The fan blades maintain a consistent rotation speed as long as the power supply remains constant.
Electric motors: Many electric motors, such as those used in appliances, machinery, or vehicles, are designed to rotate at a constant angular velocity when powered. This allows for consistent and controlled operation.
Record players: Vinyl record players rotate at a constant angular velocity to ensure that the needle moves at a consistent speed across the grooves of the record, resulting in accurate playback of the recorded sound.
Spinning tops: A spinning top, when spun with sufficient initial force, can maintain a nearly constant angular velocity for a significant period. Friction and air resistance gradually slow it down, but in ideal conditions, it rotates at a nearly constant speed.
Planets and celestial bodies: While not completely constant, planets and celestial bodies, like Earth, rotate with relatively constant angular velocities over long periods. Earth's rotation gives us day and night, and the angular velocity remains fairly consistent.
It's important to note that in the real world, factors such as friction, air resistance, and external forces can affect the angular velocity of rotating objects, causing it to vary over time. However, under ideal conditions or with appropriate control systems, the objects mentioned above can rotate with a reasonably constant angular velocity.