Answer:
The angular velocity of Earth is π/12 radians per hour.
The angular velocity of Earth is 2π radians per day.
Step-by-step explanation:
A full circumference of a circle (as the Equator line on Earth) is 2π radians.
Since the planet does a full revolution in 24 hours... that means it makes a full turn in a day.
So, we can see that in a day, the planet rotates 360 degrees... or 2π radians per day!
Now, if you want to find the angular velocity per HOUR... you divide that by 24... so 2π/24 = π/12 radians
So, we can also say it does π/12 radians per hour.