Register to reply

Working out the units?

by tommyboo
Tags: units, working
Share this thread:
tommyboo
#1
Nov8-11, 05:38 PM
P: 10
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?
Phys.Org News Partner Mathematics news on Phys.org
'Moral victories' might spare you from losing again
Fair cake cutting gets its own algorithm
Effort to model Facebook yields key to famous math problem (and a prize)
Mark44
#2
Nov8-11, 06:29 PM
Mentor
P: 21,215
Quote Quote by tommyboo View Post
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
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]
Quote Quote by tommyboo View Post

(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?
tommyboo
#3
Nov8-11, 06:32 PM
P: 10
The first one R/ty all square root. Do apologise for the bad format

gsal
#4
Nov8-11, 07:57 PM
P: 873
Working out the units?

Then, the units of A are meters.
zgozvrm
#5
Nov9-11, 12:47 PM
P: 754
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


Register to reply

Related Discussions
Converting radiometric units (W/m^2) to photometric units (Lux) Advanced Physics Homework 0
Working in different units Advanced Physics Homework 2
Converting units in scientific notation to other units. Precalculus Mathematics Homework 5
Maxwell related equations converted from MKSA units to Gaussian units Classical Physics 2
A toolkit for working with natural units Astronomy & Astrophysics 18