Answer:
The angular velocity of a person standing on the equator is approximately [tex]7.272\times 10^{-5}[/tex] radians per second.
Explanation:
The Earth rotates at constant speed. From Rotational Physics, the angular velocity ([tex]\omega[/tex]), measured in radians per second, is defined by the following formula:
[tex]\omega = \frac{2\pi}{T}[/tex] (1)
Where [tex]T[/tex] is the period of rotation of the Earth, measured in seconds.
If we know that [tex]T = 86400\,s[/tex], then the angular velocity of a person standing on the equator is:
[tex]\omega = \frac{2\pi}{86400\,s}[/tex]
[tex]\omega \approx 7.272\times 10^{-5}\,\frac{rad}{s}[/tex]
The angular velocity of a person standing on the equator is approximately [tex]7.272\times 10^{-5}[/tex] radians per second.
