Earth's rotation speed at equator · CAP 2006 #2

A person on the Equator travels in a circle once per day, so you need to find the circumference of Earth and divide by the time for one rotation. The key insight is that $v = \frac{2\pi r}{T}$, where $r$ is Earth's radius and $T$ is one day in seconds—this converts rotational motion into linear speed. Plug in the numbers carefully, paying attention to unit conversions between meters and seconds.

A person on the Equator travels in a circle once per day, so you need to find the circumference of Earth and divide by the time for one rotation. The key insight is that $v = \frac{2\pi r}{T}$, where $r$ is Earth's radius and $T$ is one day in seconds—this converts rotational motion into linear speed. Plug in the numbers carefully, paying attention to unit conversions between meters and seconds.