How do you solve for rr in \frac { 1} { 2} \pi r t = \frac { Q V } { s }12πrt=QVs?

2 Answers
Aug 6, 2018

Multiply both sides by 2s2s to remove the fractions

pirst=2QVπrst=2QV

Divide by pistπst

r=(2QV)/(pist)r=2QVπst

Aug 6, 2018

r = (2QV)/(pits)r=2QVπts

Explanation:

You need to isolate the factor rr on the left side.

1/2pi color(blue)(r) t = (QV)/s" "larr12πrt=QVs first xx 2×2 on both sides

cancel2 xx 1/cancel2 pi color(blue)(r) t = (2xxQV)/s

Now divide both sides by pi t

(pi color(blue)(r)t)/(pi t) = (2QV)/(pits)

color(blue)(r) = (2QV)/(pits)