First slide

Variation of g

Question

The rotation of the earth having radius R about its axis speeds up to a value such that a man at latitude angle 60° feels weightlessness. The duration of the day in such a case is:

Moderate

A

$π \sqrt{\frac{R}{g}}$
B

$\frac{π}{2} \sqrt{\frac{R}{g}}$
C

$\frac{π}{3} \sqrt{\frac{R}{g}}$
D

$2 π \sqrt{\frac{R}{g}}$

Solution

$g' = g - R_{e} ω^{2} \cos^{2} λ, O = g - R_{e} ω^{2} \cos^{2} λ, ω = \sqrt{\frac{g}{R_{e} \cos^{2} λ}} = \sqrt{\frac{g}{R_{e} (\frac{1}{4})}} = \sqrt{\frac{4 g}{R_{e}}} T = \frac{2 π}{ω}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App