Partial differential equation-wave equation - dimensional analysis

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• Aug 26th 2009, 09:26 AM
Steve Lam
Partial differential equation-wave equation - dimensional analysis
can you help me to solve this equation:
show that √(TL/M)has the dimensionals of velocity?
• Aug 26th 2009, 09:47 AM
arbolis
Quote:

Originally Posted by Steve Lam
can you help me to solve this equation:
show that √(TL/M)has the dimensionals of velocity?

Sorry but what does $\displaystyle T$, $\displaystyle L$ and $\displaystyle M$ stand for?
• Aug 26th 2009, 10:35 AM
Jester
Quote:

Originally Posted by Steve Lam
can you help me to solve this equation:
show that √(TL/M)has the dimensionals of velocity?

Looking at the units of each $\displaystyle T = \text{mass} \;\times \;\text{acceration} = kg \cdot \frac{m}{s^2}\;\;\;L = m,\;\;\; M = kg$
so $\displaystyle \sqrt{\frac{T L}{M}} = \sqrt{\frac{ kg \frac{m}{s^2} \cdot m}{kg}} = \sqrt{\frac{m^2}{s^2}} = \frac{m}{s}$ the units of velocity.
• Aug 28th 2009, 11:39 AM
Steve Lam
Thank you for you help. I am very happy to say.(Clapping)