As denizens of the surface of a spinning planet, we are always in uniform circular motion. Imagine you are in Nairobi (on the Earth's equator) at noon on a Monday. Answer the following questions only considering the rotation of the earth and NOT the Earth's circular motion around the sun. The radius of the earth is 6371 km. A day is 24 hours.

Question

As denizens of the surface of a spinning planet, we are always in uniform circular motion. Imagine you are in Nairobi (on the Earth's equator) at noon on a Monday. Answer the following questions only considering the rotation of the earth and NOT the Earth's circular motion around the sun. The radius of the earth is 6371 km. A day is 24 hours.
Through what distance do you travel in this time in m?

GPT 3.5 · Answer

To find the distance traveled in 24 hours, we need to calculate the circumference of the circular path you take around the Earth's axis.

The formula for the circumference of a circle is: C = 2πr, where C is the circumference and r is the radius.

Given that the radius of the Earth is 6371 km (or 6,371,000 m), we can substitute this value into the formula to find the circumference:

C = 2π(6371,000) = 40,075,200 m

Therefore, the distance you travel in 24 hours (a day) on the Earth's surface in Nairobi is 40,075,200 meters.