The Earth takes 1 day to rotate once about its axis. What is the angular velocity of a point on the surface of the Earth?

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I did this question and calculated the Angular velocity to be B but the exam answer booklet says A. Could someone please explain?

1 Answer
Jun 1, 2018

#7.3times 10^-5 \ "rad/s"#


Every point on the earth's surface completes one circular orbit (centered at a point on the axis) in 1 day #=24times 60 times 60\ "s"#, i.e 86400 s.

Thus, the angular velocity is

#omega = (2 pi)/(86400\ "s") = 7.3times 10^-5 \ "rad/s"#