A) does not change
B) doubles
C) decreases
D) increases
Correct Answer: C
Solution :
Key Idea: Equatorial radius is nearly 21 km larger then the polar radius of earth. Earth is rotating about its own axis with an angular velocity \[\omega .\] As a result of this rotation, all bodies on earth move along circular paths with same angular veloctiy \[\omega .\] Also it will have centripetal acceleration \[r{{\omega }^{2}}\] directed towards its centre. This acceleration is provided by acceleration due to gravity g. Therefore, effective value of acceleration due to gravity is decreased. Let it be g?, then.
\[g'<g\] At the equator, the value of r is maximum. As we go pole wards r goes on decreasing and becomes zero exactly at the poles. Therefore, centripetal acceleration is maximum at equator and goes on decreasing pole wards. Hence, at equator \[g'=g-{{R}_{e}}{{\omega }^{2}}\] (minimum) If there is an increase in the angular velocity of earth, then the weight of bodies will decrease at all places.
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