Question

If earth rotates faster than its present speed the weight of an object will

(A) increases at the equator but remain unchanged of the poles. 

(B) Decreases at the equator but remain unchanged at poles. 

(C) Remain unchanged at the equator but decreases at poles. 

(D) Remain unchanged at the equator but increases at the poles.

Answer 1

Correct option: (B) Decreases at the equator but remain unchanged at poles.

Explanation:

g' = g – w²R cos²λ

if earth rotates faster, w increases hence g' decreases hence weight decreases.

at pole λ = 90°

g' = g

hence the decrease in weight is not felt at angle of 90° i.e. at poles.