If the number of rotations of earth increases, then the weight of the objects on its surfaceandmdash;a)Will increaseb)Will decreasec)No changed)Nothing can be said on this basisCorrect answer is option 'B'. Can you explain this answer?

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If the number of rotations of earth increases, then the weight of the objects on its surface—

a)
Will increase
b)
Will decrease
c)
No change
d)
Nothing can be said on this basis

Correct answer is option 'B'. Can you explain this answer?

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If the number of rotations of earth increases, then the weight of the ...

The centripetal force required for the circular motion is obtained by the weight of the object. Similarly, the centripetal acceleration required for the circular motion is obtained by the gravitational acceleration, when the object exhibiting circular motion is situated on earth’s surface. In this way the effective gravitational acceleration (g’) of the particle in circular motion will be—

g^'=g-rγω² cos⁡λ

Where, r is the radius of the circular path, ω is the angular velocity. From the above relation it is clear that g’ will decrease with increase in ω. Therefore, the weight of an object will decrease.

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If the number of rotations of earth increases, then the weight of the objects on its surface—a)Will increaseb)Will decreasec)No changed)Nothing can be said on this basisCorrect answer is option 'B'. Can you explain this answer?

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