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Math Help - Partial differential equation-wave equation - dimensional analysis

  1. #1
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    Exclamation Partial differential equation-wave equation - dimensional analysis

    can you help me to solve this equation:
    show that √(TL/M)has the dimensionals of velocity?
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  2. #2
    MHF Contributor arbolis's Avatar
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    Quote Originally Posted by Steve Lam View Post
    can you help me to solve this equation:
    show that √(TL/M)has the dimensionals of velocity?
    Sorry but what does T, L and M stand for?
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  3. #3
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    Quote Originally Posted by Steve Lam View Post
    can you help me to solve this equation:
    show that √(TL/M)has the dimensionals of velocity?
    Looking at the units of each  <br />
T = \text{mass} \;\times \;\text{acceration} = kg \cdot \frac{m}{s^2}\;\;\;L = m,\;\;\; M = kg <br />
    so \sqrt{\frac{T L}{M}} = \sqrt{\frac{ kg \frac{m}{s^2} \cdot m}{kg}} = \sqrt{\frac{m^2}{s^2}} = \frac{m}{s} the units of velocity.
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    Exclamation

    Thank you for you help. I am very happy to say.
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