0.002 = 0.001/(1-F^2)

how do u rearrange this for F? to find a final answer for F.

Question

0.002 = 0.001/(1-F^2)

how do u rearrange this for F? to find a final answer for F.

unklerhaukus · Answer

you could start by multiplying both sids of the equation by (1-F^2)

and diving both sides by 0.002

anonymous · Answer

0.002*(1-F^2) = 0.001

unklerhaukus · Answer

right ,keep going ...

anonymous · Answer

1-F^2 = 0.001/0.002

anonymous · Answer

now minus 1 from both sides?

unklerhaukus · Answer

yeah you can do that ,

anonymous · Answer

ok so that leaves -F^2 on one side, what next unk?

unklerhaukus · Answer

well next , multiply both sides by negative 1

unklerhaukus · Answer

and simplify the right hand side

anonymous · Answer

F^2 = - (0.001/0.002) + 1

is that correct?

unklerhaukus · Answer

yep, 
now that fraction will simplify

anonymous · Answer

thanks unkle you are too good, thanks alot mate, i struggle with rearranging equations. i have to practice more, i got the answer in my text book. thanks mate

unklerhaukus · Answer

did you get both solutions for F?

anonymous · Answer

i got 0.707 sound right?

anonymous · Answer

0.71 rounded up

unklerhaukus · Answer

yeah thats right if you want your anser in decimal, but i would probably leave the solution as $$F=\pm\tfrac1{\sqrt2}$$

anonymous · Answer

ok, yeah this is for hydraulics so i need the answer in decimal, it is a calcs for Froudes number, do u know engineering, u would be good at it.

unklerhaukus · Answer

ah, in that case the negative solution dosent make much sense so it is fine to leave your anser as 0.707 or 0.71

i study physics so i do know a little bit about engineering , but i hadn't heard of Froudes number until now