First slide

Variation of g

Question

The radius of earth is 6400km and g = 9.8 m/sec². If the body placed at the equator has to become weightless the earth should make one complete rotation in :

Easy

A

12 hour
B

1.4 hour
C

6 hour
D

24 hour

Solution

$\begin{array}{l} mg' = mg - {mω}^{2} R = 0 \\ \Rightarrow ω = \sqrt{\frac{g}{R}} \\ T = \frac{2 π}{ω} = 2 π \sqrt{\frac{R}{g}} = 1 .4 hour \end{array}$

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