Piloting X-wings is dangerous. An overly sharp turn can kill a pilot due to the intense acceleration that their body can be subject to. Whil

Question

Piloting X-wings is dangerous. An overly sharp turn can kill a pilot due to the intense acceleration that their body can be subject to. While flying to the mysterious planet Exegol, Rey had to navigate a treacherous route through space. Some of her turns were very tight, with radius of curvature as little as 1.4 km. What is the maximum speed Rey could safely attain while keeping acceleration on her body below 6 g’s? (recall that the letter ‘g’ here stands for the Earth’s surface gravity g=9.8 m/s^2

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Thành Đạt 5 years 2021-07-17T14:36:31+00:00 2 Answers 23 views 0

Answers ( )

  1. ngocdiep
    0
    2021-07-17T14:38:19+00:00
    Reply

    Answer:

    The maximum velocity is   v= 287 m/s

    Explanation:

    From the question we are told that

       The radius of curvature is  r = 1.4 \ km

        The acceleration of  the body is  a = 6 g = 6 * 9.8 = 58.8 \ m/s^2

    Generally the centripetal acceleration  of this body is mathematically represented as

                       a_c = \frac{v^2}{r}

    and from the question we are told that    a_c \le (6g = 58.8 m/s^2)

    Which implies that

                          58.8 = \frac{v^2}{r}

    Substituting values

                          58.8 = \frac{v^2}{1400}

    =>                   v= \sqrt{58.8 * 1400}

                          v= 287 m/s

                                             

       

  2. thnahdat
    0
    2021-07-17T14:38:22+00:00
    Reply

    Answer:

    the maximum speed Rey could safely attain while keeping acceleration on her body below 6 g’s is 91.65  m/s

    Explanation:

    Using  the approach of Centripetal acceleration:

    a=\frac{ V^2}{R}

    Given that:

    acceleration on her body below 6 g

    (i.e a < 6g)

    6 = \frac{V^2}{R}

    where;

    R = radius of curvature = 1.4 km = 1400 m

    V^2 = 6*1400

    V^2 = 8400

    V = \sqrt{8400}

    V = 91.65  m/s

    Thus; the maximum speed Rey could safely attain while keeping acceleration on her body below 6 g’s is 91.65  m/s

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