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Homework Help: Dimensional homogenity

  1. Jun 4, 2016 #1
    1. The problem statement, all variables and given/known data
    Equation 1: Find the dimensions of a,b

    F = at + bt2
    F - force
    a - Some unkown value
    b - Some unkown value
    t - time

    In this equation we must find the dimensions of a and b which i did but, in the next similar equation

    Equation 2: Find the dimensions of a,b,c

    F = at + bt2 + cx3
    F - force
    a - Some unkown value
    b - Some unkown value
    t - time
    c - Some unkown value
    x - Unknown

    I don't know how to find out dimensions for c as i dont know what is the dimensions for x here.

    2. Relevant equations
    F = at + bt2

    3. The attempt at a solution
    F = MLT-3

    For the 1st equation, i got

    a = MLT-3
    b = MLT-4

    For c= ? I dont know how to find.
    What is the dimensions for x also?

    Thanks in advance
  2. jcsd
  3. Jun 4, 2016 #2
    Is that the only information you have?
    Maybe x is in meters (x is sometimes used for length). Otherwise Im pretty sure you cant solve it.
  4. Jun 4, 2016 #3
    Well, thanks a lot. After checking through i guess x might be length. And can you please post the answer so that i can cross check. Thanks
  5. Jun 4, 2016 #4


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    That's not how PF works. You're supposed to work out you own answers. Posting worked out solutions for others on the HW forums is a violation of the rules.
  6. Jun 5, 2016 #5
    [Force] = MLT-2
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