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?
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]
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 s^{2} cancel out, leaving [tex]\sqrt{\frac{m^3}{m}}[/tex] which is [tex]\sqrt{m^2}[/tex] or, more simply m