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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.

Assuming that you are at at theta = 0 rad at noon on Monday and moving in the positive direction, what is your position theta in rad on Tuesday at 11:00 am?

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Answer:

6.02 radian

Step-by-step explanation:

At 12 noon position is zero radian on Monday

at 12 midnight the position is π/2

at 11 am position on Tuesday is 2π/24 x 23 ( after 23 hours ) = 6..02 radian.

User Dmitry Barskov
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