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Homework Help: Circular motion plane problem

  1. Nov 10, 2009 #1
    1. The problem statement, all variables and given/known data

    A pilot makes a turn of radius 50.0 meters at a speed of 26.0m/sec. How long will it take him to make a 90 degree turn?

    2. Relevant equations

    tangential acceleration = final velocity - initial velocity/time

    3. The attempt at a solution

    tangential acceleration = final velocity - 26/t
    stuck at this point...unable to find final velocity from here???
  2. jcsd
  3. Nov 10, 2009 #2


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    You actually don't need that equation. How much distance does he have to cover to turn 90 degrees? How fast is he turning? (Hint: it's 26.0 m/s.) How much time does it take?
  4. Nov 10, 2009 #3


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    Since speed is constant, time = 1/4* 2πR/v.
  5. Nov 11, 2009 #4
    thanks...could u please explain how u got to that formula.
    the one I have in book is:

    T= 2[tex]\pi[/tex]r/v

  6. Nov 11, 2009 #5
    That T= 2LaTeX Code: \\pi r/v is the time it needs to cover a full circle (360*)
    So whats the time to cover 1/4 360*?

    Thats time=T/4 = 1/4* 2πR/v.
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