A fighter pilot with a mass of $50 k g$ wishes to pull their fighter into a vertical circle while travelling at a horizontal speed of $270 m / s$ . A fighter pilot can handle up to $9 g$ 's without blacking out.
Which of the following values best represents the radius of the smallest circular path the pilot can make at this speed?

827.0 m

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0.306 m

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3.06 m

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827.0 k m

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0.306 k m

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Solution

The correct option is B $827.0 m$
The pilot would feel an additional centripetal force downwards in addition to the weight as it rotates in the circle.
Hence $g^{'} = \frac{v^{2}}{R}$
$⟹ R = \frac{v^{2}}{9 g}$
$⟹ R = 827 m$

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The correct option is B 827.0mThe pilot would feel an additional centripetal force downwards in addition to the weight as it rotates in the circle.Hence g′=v2R⟹R=v29g⟹R=827m

The correct option is B $827.0 m$
The pilot would feel an additional centripetal force downwards in addition to the weight as it rotates in the circle.
Hence $g^{'} = \frac{v^{2}}{R}$
$⟹ R = \frac{v^{2}}{9 g}$
$⟹ R = 827 m$