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What is the angular velocity of a person standing on the surface of the earth. Give your answer in radians per second

One can think of angular velocity as just the angular version of regular linear velocity: i.e. if linear velocity is defined as the rate of change of displacement, then angular velocity is simply the rate of change of angular displacement:

Now if we picture a person on the surface of the Earth (perhaps imagine your Physics instructor there!) we can draw a simple connection between the Earth’s angular velocity and the instructor: assuming that your Physics instructor is completely still, their angular velocity will be exactly equal to the angular velocity of the Earth itself, simply because your instructor will be orbiting along with the Earth - much like all of us!

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