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About V,g,d and λ

  1. Apr 4, 2012 #1
    1. The problem statement, all variables and given/known data
    the speed of surface waves on deep water might depend on the gravitational acceleration has a constant magnitude g,density of water d,and the wavelenght of the wave λ.Which one of the following could be how this speed depends on these parameters?(hint:use the dimesional analysis)

    there are options for V speed.
    the answer is V=√gλ


    2. Relevant equations



    3. The attempt at a solution

    This was my exam question and i couldnt solve it.Still i have no idea how to solve it. :)
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 4, 2012 #2

    rock.freak667

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    Homework Helper

    If the units of g is m/s2 and λ is m. Then what is the units of gλ? (Hint: The unit of force x distance = N x m = Nm, use a similar idea to get the combined unit).

    After you get the unit, just raise it to the power of 1/2. Treat the m and s like an indicies type problem.
     
  4. Apr 9, 2012 #3
    thanks :)
     
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