Transposition of formulae.

[bren4]

How do you get from: r/h = w²r/g to: h = g/w²

I am relatively new to transposition, so any help on this would be appreciated.

 

[Ishuda]

How do you get from: r/h = w²r/g to: h = g/w²

I am relatively new to transposition, so any help on this would be appreciated.

Lets do a similar problem as a hint: How do you get from 14 / h = 7 s / w to h = 2 w / s
Looking at the problem we see that h is in the denominator to start with and we want it in the numerator at the end. So multiple both sides by h
14 = 7 h s / w
Now we have h in the numerator but we need it by itself so if we multiply both sides by w / (7 s) we can get it by itself
14 w / (7 s) = h
Now just reduce the 14/7 to 2 to finally get
2 w / s = h
which is what we wanted.

 

[bren4]

The pennies dropped and the light bulb is on, i see the light! Thanks for the hints.

 

[HallsofIvy]

How do you get from: r/h = w²r/g to: h = g/w²

I am relatively new to transposition, so any help on this would be appreciated.

I don't think any one else has pointed out that this is true only if r is not 0! If r= 0 then the original equation is just 0= 0 and there is no reason to think that h= g/w.

The first thing I would do to solve for h is divide both sides by r which is only possible if r is not 0. That would leave
1/h= w²/g and you can solve for h by "inverting" both sides: h= g/w².