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

Question

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 (A) 375 m (B) 420 m (C) 750 m  (D) 840 m

Tardigrade Admin · Accepted Answer

T=(m v2/r)+m g=7 mg (m v2/r)=6 mg r=(v2/6 g)

Q. A pilot of mass $m$ can bear a maximim apparent weight $7$ times of $m g$ . 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

$375 m$

$420 m$

$750 m$

$840 m$

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

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 210m/s while diving up from the lowest point of vertical circle, the minimum radius of vertical circle should be

375m

420m

750m

840m