Solve f r =k⋅\sqrt f c

Evaluate

f r = k f c

Swap the sides of the equation

k f c = f r

Divide both sides

\frac{k f c}{k} = \frac{f r}{k}

Divide the numbers

f c = \frac{f r}{k}

Raise both sides of the equation to the 2 -th power to eliminate the isolated 2 -th root

(f c)^{2} = (\frac{f r}{k})^{2}

Evaluate the power

f c = \frac{( f r ) ^{2}}{k ^{2}}

Multiply by the reciprocal

f c \times \frac{1}{f} = \frac{( f r ) ^{2}}{k ^{2}} \times \frac{1}{f}

Multiply

c = \frac{( f r ) ^{2}}{k ^{2}} \times \frac{1}{f}

Multiply

More Steps

c = \frac{( f r ) ^{2}}{f k ^{2}}

Calculate

c = \frac{f ^{2} r ^{2}}{f k ^{2}}

Solution

More Steps

c = \frac{f r ^{2}}{k ^{2}}

Solve the equation