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Find the powers p and q that make this equation dimensionally consistent

  1. Aug 26, 2010 #1
    Acceleration is related to velocity and time by the following expression: A=V^p t^q

    Find the powers p and q that make this equation dimensionally consistent.
     
  2. jcsd
  3. Aug 26, 2010 #2

    rock.freak667

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    So what dimensions are A, V and t ?

    When you get that, then equate exponents.
     
  4. Aug 26, 2010 #3
    I new to physics I still dont get what I have to do
     
  5. Aug 26, 2010 #4

    rock.freak667

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    Alright then. Lets start simple.

    What are the units for acceleration (A)?

    What are the units for velocity (V)?

    What are the units for time (t) ?
     
  6. Aug 26, 2010 #5
    A= [l]/[t]^2
    v= [l]/[t]
    t=[t]
     
  7. Aug 26, 2010 #6

    rock.freak667

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    Good. So in A=Vptq, on the left side we have

    LT-2

    and on the right we have

    (LT-1)p(T)q

    What does the right side give?
     
  8. Aug 26, 2010 #7
    I just got it now.... Thank you for explaining it better to me. I appreciate all your help
     
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