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Need help on Thermodynamics problem: thermal expansion to be more specific

  1. May 14, 2012 #1
    Need help on Thermodynamics problem: thermal expansion to be more specific!!

    A steel ring with a 2.5000in- inside diameter at 20.0°C is to be warmed and slipped over a brass shaft with a 2.5015in outside diameter at 20.0°C.
    Part A:

    To what temperature should the ring be warmed?

    Part B:

    If the ring and the shaft together are cooled by some means such as liquid air, at what temperature will the ring just slip off the shaft?

    Attempt at solution:
    using dL=alphaLidT
    i converted the diameters to meters because i was given alpha in m/m°C. so i got d1=0.0635m d2=0.0635381m and dL=0.0000381m
    i used alpha=13*10-7m/m°C
    and got dT to be 45.9 but that gave me the incorrect answer
     
  2. jcsd
  3. May 14, 2012 #2

    Doc Al

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    Staff: Mentor

    Re: Need help on Thermodynamics problem: thermal expansion to be more specific!!

    Double check your arithmetic. (FYI: No need to change units for the lengths.)
     
  4. May 14, 2012 #3
    Re: Need help on Thermodynamics problem: thermal expansion to be more specific!!

    It gave me the same answer
     
  5. May 15, 2012 #4

    Doc Al

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    Staff: Mentor

    Re: Need help on Thermodynamics problem: thermal expansion to be more specific!!

    Show your calculation. You are off by about a factor of 10.
     
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