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Q. A pilot of mass $m$ can bear a maximim apparent weight $7$ times of $mg$. The aeroplane is moving in a vertical circle. If the velocity of aeroplane is $210 m / s$ while diving up from the lowest point of vertical circle, the minimum radius of vertical circle should be

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Solution:

$T=\frac{m v^{2}}{r}+m g=7 mg$
$\frac{m v^{2}}{r}=6 mg \,\,\, r=\frac{v^{2}}{6 g}$