Uniform Circular Motion A Jet Pilot

  1. Uniform Circular Motion "A Jet Pilot"

    Hi, my apologies if this has been posted before. I was just wondering if someone could help look over this question for me and confirm if I did it correct or not. It is a written homework rather than online so I can't check my answer to see if I did it correctly.

    A jet pilot takes his aircraft in a vertical loop. (a) If the jet is moving at a speed of 840km/h at the lowest point of the loop, determine the minimum radius of the circle so that the centripetal acceleration at the lowest point does not exceed 6.0 g's.

    840km/h = 233.33 m/s
    6g = (6*9.80) = 58.8m/s^2

    Equation used a=(v^2)/r

    but I continue to get confused between which is velocity and acceleration.

    Would I have

    r=(233.33^2)/58.8
    r=925.90m

    or

    r=(58.8^2)/233.33
    r=14.82m

    which the first answer of 925.90m sounds a lot more correct than 14.82 but I just wanted to make sure. If someone could please confirm that would be great.

    Thank you
     
  2. jcsd
  3. SteamKing

    SteamKing 9,579
    Staff Emeritus
    Science Advisor
    Homework Helper

    Velocity has units of m/s

    Acceleration has units of m/s^2
     
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