The earth rotates once per day about an axis passing thorughthe north and south

Question

The earth rotates once per day about an axis passing thorughthe north and south poles, an axis that is perpendicular to theplane of the equator. Assuming the earth is a sphere with aradius of 6.38 *106m, determine the speed andcentripetal acceleration of a person situated (a) at the equatorand (b) at a latitude of 30.0o north of theequator. answer: 464m/s2,3.37*10-2m/s2 The earth rotates once per day about an axis passing thorughthe north and south poles, an axis that is perpendicular to theplane of the equator. Assuming the earth is a sphere with aradius of 6.38 *106m, determine the speed andcentripetal acceleration of a person situated (a) at the equatorand (b) at a latitude of 30.0o north of theequator. answer: 464m/s2,3.37*10-2m/s2

Explanation / Answer

r = 6.38 *106 m period T = 24 hr = 24*60*60 s = 2/T a) v = r = 1.99*103 m/s a = v2/r = 0.623 m/s2 b) v = rcos(30) = 1.72*103 m/s a = v2/[rcos(30)] = 0.538 m/s2

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