Question

Earth revolves on its axis once every 24 hours. Which statements are true? Check all that apply.

The angular velocity of Earth is π/12 radians per hour.
The angular velocity of Earth is π/12 radians per day.
The angular velocity of Earth is 2π radians per hour.
The angular velocity of Earth is 2π radians per day.
The angular velocity of Earth is 12π radians per day.

Answer 1

a and d on ed

Explanation:

Answer 2

The angular velocity of Earth is π/12 radians per hour.

The angular velocity of Earth is 2π radians per day.

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.