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May 7th, 2017, 03:22 AM  #1 
Newbie Joined: May 2017 From: UK Posts: 2 Thanks: 0  Si Base units of Y from an equation
I have been given the equation  y = sqrt 3kx/m Where k is a constant with units joules per kelvin m is a constant with units kg x has units kelvin How do I work out the SI units for y? 
May 7th, 2017, 03:31 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,320 Thanks: 450 Math Focus: Yet to find out. 
Treat the units as something you can substitute in for k, m and x. Rearrange and see what you come up with.
Last edited by Joppy; May 7th, 2017 at 03:33 AM. 
May 7th, 2017, 03:44 AM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 2,623 Thanks: 1303 
$\sqrt{\dfrac{\frac{J}{T} \cdot T}{kg}}$ $\sqrt{\dfrac{\frac{N \cdot m}{\cancel{T}} \cdot \cancel{T}}{kg}}$ $\sqrt{\dfrac{N \cdot m}{kg}}$ $\sqrt{\dfrac{\frac{kg \cdot m}{s^2} \cdot m}{kg}}$ $\sqrt{\dfrac{\frac{\cancel{kg} \cdot m^2}{s^2}}{\cancel{kg}}}$ $\sqrt{\dfrac{m^2}{s^2}}$ $\dfrac{m}{s}$ 

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base, equation, units 
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