Hi, in physics I they have The earth's radius is 6.37×106m; it rotates once every 24 hours. I have already found the angular speed  ω= 7.3×10−5  rad/s   and the point on the equator v= 460 ms.   What I'm trying to understand is what is the speed of a point on the earth's surface located at 2/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....
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Hi, in physics I they have The earth's radius is 6.37×106m; it rotates once every 24 hours.

I have already found the angular speed 

ω= 7.3×10−5  rad/s   and the point on the equator v= 460 ms.  

What I'm trying to understand is what is the speed of a point on the earth's surface located at 2/5 of the length of the arc between the equator and the pole, measured from equator? (Hint: what is the radius of the circle in which the point moves?)

 

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