Si la circunferencia de la tierra es de 40 075 km ¿con que rapidez se mueve una persona que se encuentra sobre el ecuador?

463.83 m/s

Explanation:

The question in english is:

If the circumference of the Earth is 40075 km, At what speed does a person who is on the equator move?

We need to find the tangential speed of a person that is on the Earth's equator (assuming the Earth moves following a uniform circular motion) and we onle have the value of the circumference of the planet as data.

Since we assumed we are dealing with uniform circular motion, the tangential speed is expressed as:

(1)

Where:

is the angular frequency

is the diameter of the Earth

is the period of revolution of the Earth (1 day)

On the other hand, the circumference  of a sphere (assuming the Earth has this shape) is given by the following equation:

 (2)

Where in this case.

Clearing :

 (3)

 (4)

Substituting (4) in (1):

(1)

(5)

Finally:

(6)