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?

enter image source here
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
Ananda Dasgupta
Jun 1, 2018

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

Explanation:

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"#

Related questions
Impact of this question
5558 views around the world
You can reuse this answer
Creative Commons License