Question

With what angular velocity the earth should spin in order that a body lying at 45° latitude may become weightless ?

• A. $\sqrt{\frac{g}{R}}$
• B. $\sqrt{\frac{2g}{R}}$
• C. $2\sqrt{\frac{g}{R}}$
• D. None of these

Answer 1

Answer: (B)

$\sqrt{\frac{2g}{R}}$

Answer 2

0 = g – Rw² cos² 45 ⁰

$\frac{R\omega^{2}}{2}$ = g or w = $\sqrt{\frac{2g}{R}}$