Question

Suppose that the angular velocity of rotation of earth is increased

Answer 1

ok i m supposing
every thing is moving very fast
mind blown whhoooaaa!!!!

Answer 2

As we have learned

Variation in 'g' due to Rotation of earth -

g'=g-\omega ^{2}R\cos ^{2}\lambda

\lambda \rightarrow latitude angle

\omega \rightarrow Angular velocity of rotation of earth

g' \rightarrow New value of 'g'.

- wherein

Apparent weight of body decrease with rotation of earth so value of g also decrease.

g'=g-\omega ^{2}R\cos ^{2}\lambda

a_{+ }pole ,\lambda =90 \degree, g'=g

a_{+ } all other points , as w is increased g' will decrease

{g}' will\: decrease

Option 1)

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

This is incorrect

Option 2)

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

This is incorrect

Option 3)

There will be no change in weight anywhere on the earth.

This is incorrect

Option 4)

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

This is correct