The mean radius of earth is \( R \), and its angular speed on its a...

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The mean radius of earth is \( R \), and its angular speed on its axis is \( \omega \). What will be the radius of orbit of a geostationary satellite?
(1) \( \left(\frac{R g}{\omega^{2}}\right)^{1 / 3} \)
(2) \( \left(\frac{R^{2} g}{\omega^{2}}\right)^{1 / 3} \)
(3) \( \left(\frac{R^{2} g}{\omega}\right)^{1 / 3} \)
(4) \( \left(\frac{R^{2} \omega^{2}}{g}\right)^{1 / 3} \)
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