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Math Help - Physics Dimensional Analysis problem

  1. #1
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    Physics Dimensional Analysis problem

    (a) Suppose that the displacement of an object is related to time according to the expression
    x
    = Bt^2. What are the dimensions of B?
    1)L^2/L
    2)T^2/L
    3)L T^2
    4)L/T^2
    5) L/T


    (b) A displacement is related to time as x = A sin(2πft), where A and f are constants. Find the dimensions of A. [Hint: A trigonometric function appearing in an equation must be dimensionless.]
    1)L/T
    2)T/L
    3)L
    4)L T

    Hey guys I've used the site in the past and it has helped me tremendously. I'm now in a physics class and its going to be a long uphill struggle for me. These are 2 problems out of 15 from some homework I have and if someone can break it down for me that would be more than wonderful.
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  2. #2
    Grand Panjandrum
    Joined
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    Re: Physics Dimensional Analysis problem

    Quote Originally Posted by FactoringAnguish View Post
    (a) Suppose that the displacement of an object is related to time according to the expression
    x
    = Bt^2. What are the dimensions of B?
    1)L^2/L
    2)T^2/L
    3)L T^2
    4)L/T^2
    5) L/T
    x is a displacement so its dimensions are \rm{[L]}. so you have a dimensional expression:

    \rm{[L]=[B][T]^2}

    so:

    \rm[B]=...\ ?

    CB
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  3. #3
    Newbie
    Joined
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    Re: Physics Dimensional Analysis problem

    Quote Originally Posted by CaptainBlack View Post
    x is a displacement so its dimensions are \rm{[L]}. so you have a dimensional expression:

    \rm{[L]=[B][T]^2}

    so:

    \rm[B]=...\ ?

    CB
    B= L/T^2 so #4 yes? I was so caught up with breaking down B into its own components rather than solving for B.
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