MCQ
The angular speed of earth, so that the object on equator may appear weightless, is $\left(g=10 \mathrm{~m} / \mathrm{s}^2\right.$, radius of earth $\left.6400 \mathrm{~km}\right)$
  • $1.25 \times 10^{-3} \mathrm{rad} / \mathrm{sec}$
  • B
    $1.56 \times 10^{-3} \mathrm{rad} / \mathrm{sec}$
  • C
    $1.25 \times 10^{-1} \mathrm{rad} / \mathrm{sec}$
  • D
    $1.56 \times 10^{-7} \mathrm{rad} / \mathrm{sec}$

Answer

Correct option: A.
$1.25 \times 10^{-3} \mathrm{rad} / \mathrm{sec}$
For condition of weightlessness of
$\omega=\sqrt{\frac{g}{R}}=\frac{1}{800}=1.25 \times 10^{-3} \frac{ rad }{ s }$

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