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17 March, 16:45

An airplane is flying in a horizontal circle at a speed of 92.1 m/s. The 55.6 kg pilot does not want his radial acceleration to exceed 8.45 g. The acceleration of gravity is 9.8 m/s². What is the minimum radius of the circular path?

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  1. 17 March, 17:53
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    r = 102.43 m

    Explanation:

    Newton's second law for this case is

    F = ma

    Where the acceleration is centripetal

    a = v² / r

    r = v² / a

    They indicate that the radial acceleration is 8.45 g

    r = v² / 8.45 g.

    r = 92.1² / 8.45 9.8

    r = 102.43 m
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