Question

If the spinning speed of the earth is increased, then the weight of the body at the equator.

• A. does not change
• B. doubles
• C. decreases
• D. increases

Answer 1

The correct option is C decreases

Effect of rotation of earth on acceleration due to gravity, $g_{\lambda }=g_e-R_e{w}^{2}co{s}^2\lambda$ where $w$ is the angular velocity of the rotation of earth and $\lambda$ is the lattitude.

Now at equator, $\lambda =0^o⟹g_{\lambda }=g_e-R_e{w}^2$

Thus as the spinning speed of earth increases, then g at equator decreases and thus weight of body decreases at equator.