The maximum acceleration a pilot can stand without blacking out is about 7.0 g. In an endurance test for a jet plane’s pilot, what is the ma

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The maximum acceleration a pilot can stand without blacking out is about 7.0 g. In an endurance test for a jet plane’s pilot, what is the maximum speed she can tolerate if she is spun in a horizontal circle of diameter 85 m?

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Thu Nguyệt 4 years 2021-09-02T06:14:00+00:00 1 Answers 77 views 0

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  1. Ben
    0
    2021-09-02T06:15:27+00:00
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    Answer:

    v=54.00m/s

    Explanation:

    7.0g is 7\times the acceleration due to gravity.

    Given that g=7\times9.8m/s^2, acceleration can be calculated as:

    a=7\times9.8m/s^2\\a=68.6m/s^2

    Since circular motion is involved and our radius of curvature is given as,r=\frac{85}{2}m, centripetal acceleration is given by the formula:a=v^2/r.

    Make v^2 subject of the formula to find v:

    a=v^2/r\\v^2=ar=68.6\times(85/2)\\v^2=2915.5\\v=\sqrt{2915.5}\\v=54.00m/s

    The maximum speed of the pilot is 54m/s

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