ISRO Mechanical & Aerospace 2010 - Question 23

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For the apparent weight of a body at equator to become zero, the earth should rotate with an angular velocity of

  • A. $\sqrt{2g/r}$
  • B. $\sqrt{g/r}$
  • C. $\sqrt{g/2r}$
  • D. $g/r$

Answer: B. $\sqrt{g/r}$

Explanation: Apparent weight $W = m(g - r\omega²)$. For zero weight, $g = r\omega² \Rightarrow \omega = \sqrt{g/r}$.

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