Question

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

• A. increase at the equator but remain unchanged at the poles
• B. decrease at the equator but remain unchanged at the poles
• C. remain unchanged at the equator but decrease at the poles
• D. remain unchanged at the equator but increase at the poles

Answer 1

Answer: (B)

At the equator, $g^{\prime}=g-R \omega^2$
As $\omega$ increases, $g^{\prime}$ decreases and hence weight decreases.
At the pole, $g^{\prime}=g$.
So weight remain unchanged.