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Math Help - Integral Calculus and Simspon rule

  1. #1
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    Integral Calculus and Simspon rule

    I recently post/ed this question but did not finish it. Would you please tell me what I have to do next,


    Question:

    A new design of nitrogen charged accumulator, for use in a hydraulic circuit, (Hydropneumatic Accumulators - HydroTrole Limited) is being factory tested for certification purposes.
    The following data has been collected by a technician:

    • Gas volume: V = 0.8 m3
    • Gas pressure: p = 160 kPa
    • Compression index: n = 1.4
    • Pressure/volume relationship: pVn = C
    • Work done = Integral sign top( V2) bottom= V1 pdV

    You first need to work out C, the value of the pressure/volume relationship.
    Calculate the work done in compressing the nitrogen from 0.8 m3 to 0.6 m3 using:

    • integral calculus
    • Simpsonís rule

    Comment on the accuracy of the numerical method.
    Note: if you wish, you may use a spreadsheet for the numerical method.


    Update
    Edited out the answer:

    THANKS
    Last edited by maali5; July 4th 2012 at 11:15 AM.
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  2. #2
    MHF Contributor

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    Re: Integral Calculus and Simspon rule

    I looked at your spread sheet and it looks like you are integrating the pressure. The problem asks you to integrate "V dP".

    Also, please remove the link to a commercial site or this thread will be deleted.
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  3. #3
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    Re: Integral Calculus and Simspon rule

    That is correct sir. I have already completed this work before but forget it. How would I be able to calculate the integral calculus. I know the answer is 39026.4552
    Last edited by maali5; July 4th 2012 at 11:24 AM.
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