devarshi-dt-logo

Question:

Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence, what will happen to the weight of an object on Earth?

Weight of the object, everywhere on the earth, will increase

There will be no change in weight anywhere on the earth

Weight of the object, everywhere on the earth, will decrease

Except at poles, weight of the object on the earth will decrease

Solution:

Effect of angular velocity on acceleration due to gravity is given by
g₀ = g − ω²Rcosθ
So with increase in ω, the g₀ decreases, but at poles θ = 90°; cosθ = 0; so g₀ = g