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Train Turning

  1. Jun 12, 2009 #1
    1. The problem statement, all variables and given/known data
    1. The problem statement, all variables and given/known data
    A train slows down as it rounds a sharp horizontal turn, slowing from
    90.0 km/h to 50.0km/h in that 15.0s that it takes to round the bend. The
    radius of the curve is 150m. Compute the acceleration at the moment the train
    speed reaches 50.0 km/h. Assume that it continues to slow down at this time at
    the same rate.


    2. Relevant equations
    Kinematics
    Circular Motion


    3. The attempt at a solution
    I understand we have to add the tangential acceleration to the centripetal acceleration. Can I just treat this motion as a straight line to compute the tangential acceleration? Can we do this for most problems like this? If so, then the tangential acceleration is -2.67 m/s^2. Then the total acceleration is 2.96 m/s^2 64.28 degrees of the radius.
     
  2. jcsd
  3. Jun 12, 2009 #2

    rock.freak667

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    Homework Helper

    I assumed you used "90.0 km/h to 50.0km/h in that 15.0s" to get the tangential acceleration of -2.67m/s2?

    and then used 50km/h in 150m radius for the normal acceleration right?

    then added them up using a vector method?

    If so then it should be correct.
     
  4. Jun 12, 2009 #3
    Yes, but can we pretend it was 1-d kinematics to find the tangential acceleration?
     
  5. Jun 12, 2009 #4

    rock.freak667

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    Homework Helper

    that is how you found the tangential acceleration, so yes.
     
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