Working out the units?

tommyboo

I am having a problem finding the correct SI unitsfor the quantity A?

In the equation

A=√(R/TY)

That is A equals the square root of R divided by TY

(not to good showing workings on the computer sorry)

, the SI units of the quantity R are kg m^3 s^–2, the SI units of the quantity T are kg and the SI units of the quantity Y are m s^–2. What are the correct SI units for the quantity A?

Mark44

Both your notation and explanation are ambiguous.

Is the expression on the right side this?
[tex]\sqrt{\frac{R}{TY}}[/tex]
or this?
[tex]\frac{\sqrt{R}}{TY}[/tex]

tommyboo

The first one R/ty all square root. Do apologise for the bad format

gsal

Then, the units of A are meters.

zgozvrm

To clarify gsal's answer...

You have the expression
[tex]\sqrt{\frac{R}{TY}}[/tex]

Simply, insert the units for each variable (in place of the variables):
[tex]\sqrt{\frac{\frac{kg\cdot m^3}{s^2}}{(kg)(\frac{m}{s^2})}}[/tex]

and simplify...
[tex]\sqrt{\left(\frac{kg \cdot m^3}{s^2}\right) \left(\frac{s^2}{kg \cdot m}\right)}[/tex]

kg and s² cancel out, leaving
[tex]\sqrt{\frac{m^3}{m}}[/tex]

which is
[tex]\sqrt{m^2}[/tex]

or, more simply m