Question 71201
a=(2pirf)^2/r
:
This is how far I got:
a=4pi^2r^2f^2/r
a=4pi^2rf^2
:
At this point just divide both sides by 4*pi^2*f^2 which leaves you with
{{{a/(4*pi^2*f^2)}}} = r
:
you could also write it:
r = {{{a/(2pi*f)^2}}}
:
Student pointed out to me that I should have solved for f not r:
a = {{{(4*pi^2*r*f^2)}}}
:
Divide both sides by (4*pi^2*r) and you have:
{{{a/(4*pi^2*r)}}} = f^2
:
f = {{{sqrt(a/(4*pi^2*r))}}}
:
You can also write it:
f = {{{(1/(2pi)) * sqrt(a/r)}}}