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Physics AS Level Homework watch

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    Check each of the following equations for homogeneity:
    (a) The periodic time (T) of a simple pendulum of length (l) is given by
    T=2π√l/g where (g) is the acceleration due to gravity
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    Please help me? I'm very stuck
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    There's no question here?
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    (Original post by Kozmo)
    There's no question here?
    You have to write both sides using base quantities to see if they are homogeneous
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    The question is asking to:
    equate T in seconds=blah blah blah using base units.
    If the overall outcome of the equation is the same, then they are homogeneous. If you are having doubts, check the spoiler below.
    Spoiler:
    Show
    for your's reference. base unit for T is s, base unit for g(acceleration) is m/s^2 or ms^-2, The length is in meters(m).
    s= 2pi*(squareroot of m/ms^-2, m get divided by m, so it get canceled)
    s= 2pi*(sqroot s^2, as s^-2 gets inversed it changes to s^2)
    to remove sq root, square both sides and you get, S^2=S^2.
    LHS=RHS so eqn is homogeneous.
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    (Original post by Azhar Rana)
    The question is asking to:
    equate T in seconds=blah blah blah using base units.
    If the overall outcome of the equation is the same, then they are homogeneous. If you are having doubts, check the spoiler below.
    Spoiler:
    Show
    for your's reference. base unit for T is s, base unit for g(acceleration) is m/s^2 or ms^-2, The length is in meters(m).
    s= 2pi*(squareroot of m/ms^-2, m get divided by m, so it get canceled)
    s= 2pi*(sqroot s^2, as s^-2 inverse in s^2)
    to remove sq root, square both sides and you get, S^2=S^2.
    LHS=RHS so eqn is homogeneous.
    Thank you so much!
    I understand how to do most of it now and the concept of homogeneous . I am a bit confused to how the s^-2 becomes s^2 on the RHS please could you explain it further
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    (Original post by wallflower...)
    Thank you so much!
    I understand how to do most of it now and the concept of homogeneous . I am a bit confused to how the s^-2 becomes s^2 on the RHS please could you explain it further
    It was 1/(s^-2) on the right side, according to the rule of indices, if you raise the denominator in place of numerator, you will do zero power minus (-2) of s so it becomes S^2.
 
 
 
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