You are standing on the Earth at a location on the equator where your distance from the center of the Earth is r = 6.53×106 m. What is your linear velocity due to the Earth's rotation?
Solution:
Given:
R = 6.53 x 106 m
Since: angular velocity of earth (
) =
2
/ (24 x 60 x 60) rad/s = 7.27 x 10-5 rad/s
Therefore: linear velocity = R
= ( 6.53 x
106 m)(7.27 x 10-5 rad/s) = 474.78
m/s
Thus: your linear velocity due to the Earth's rotation is : 474.78 m/s
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