can you help me to solve this equation:

show that √(TL/M)has the dimensionals of velocity?

- Aug 26th 2009, 09:26 AMSteve LamPartial 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 AMarbolis
- Aug 26th 2009, 10:35 AMJester
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 AMSteve Lam
Thank you for you help. I am very happy to say.(Clapping)