Question

If the mass of earth and radius suddenly become 2 times and 1/4th of the present value, the length of the day becomes

Moderate

Solution

$I_{1} ω_{1} = I_{2} ω_{2}$
$\frac{2}{5} m r^{2} \frac{2 π}{T_{1}} = \frac{2}{5} 2 m {(\frac{r}{4})}^{2} \frac{2 π}{T_{2}}$

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