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Centripetal Acceleration and Force

  1. Feb 3, 2013 #1
    1. The problem statement, all variables and given/known data

    A small truck of mass 1600kg rides in a circle of which has a radius of 40m at a constant speed of 70m/s

    Calculate:
    (a) its centripetal acceleration
    (b)the centripetal force acting.

    2. Relevant equations
    [itex]
    a_{centripetal} = {v^2 \over r} \\
    F_{centripetal} = {mv^2 \over r}

    [/itex]
    3. The attempt at a solution
    I think I got the correct answers its just the figures seem absurdly high, so can someone check my understanding please?

    So for part a
    [itex]
    a_{centripetal} = {70^2 \over 40} \\
    a_{centripetal} = 122.5 m/s^2
    [/itex]

    And part b
    [itex]
    F_{centripetal} = \frac{1600 \times 70^2}{40} \\
    F_{centripetal} = \frac{7840000}{40} \\
    F_{centripetal} = 196kN
    [/itex]

    The figures just seem to high to me, we only had one lesson on this so I may have taken down something wrong or might have misunderstood the question.
     
  2. jcsd
  3. Feb 3, 2013 #2

    Doc Al

    User Avatar

    Staff: Mentor

    Looks fine to me.
     
  4. Feb 3, 2013 #3
    OK, thanks :)
     
  5. Feb 3, 2013 #4

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    Hi FaraDazed! :wink:
    looks ok to me, too :smile:

    imagine you had to pull on a rope to keep it in a circle …

    wouldn't you expect to pull really hard? :wink:
     
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