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9 January, 00:20

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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  1. 9 January, 03:24
    0
    6.02 radian

    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.
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