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May 7th, 2017, 03:22 AM   #1
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Question 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?
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May 7th, 2017, 03:31 AM   #2
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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.
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May 7th, 2017, 03:44 AM   #3
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$\sqrt{\dfrac{\frac{J}{T} \cdot T}{kg}}$

$\sqrt{\dfrac{\frac{N \cdot m}{\cancel{T}} \cdot \cancel{T}}{kg}}$

$\sqrt{\dfrac{N \cdot m}{kg}}$

$\sqrt{\dfrac{\frac{kg \cdot m}{s^2} \cdot m}{kg}}$

$\sqrt{\dfrac{\frac{\cancel{kg} \cdot m^2}{s^2}}{\cancel{kg}}}$

$\sqrt{\dfrac{m^2}{s^2}}$

$\dfrac{m}{s}$
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