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One complete revolution is 2 pi radians.

The earth revolves one complete revolution in 24 hours.

24 hours * 60 min/1 hr * 60 sec/1 min = 86400 seconds

The earth revolves at a rate of (2*pi)/86400 rad/sec = 7.27 e -5 rad/sec = w

r = radius of curvature = radius of the earth. 6378100 meters

angular acceleration = w^2* r

angular acceleration = (7.27 e -5)^2* 6378100 = 0.03373 m/s/s

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