Question

With what angular speed, in rad/s, does the Earth rotate about its axis?

Answer 1

We know that it takes the earth approcimately 24 hours to complete one rotations about its axis.

This means that we can calcuate the angular speed using the following formula:

$\omega=\frac{\theta}{t}$

Where:

$\begin{gathered} \theta=\text{ angle in radians} \\ t=\text{ time} \end{gathered}$

We will convert the time from hours to second using the following conversion factor:

$1h=3600s$

Now, we mutiply noth sides by 24 and we get: