Solve for m f=(mv^2)/r

$f = \frac{m v^{2}}{r}$

Step 1

Rewrite the equation as $\frac{m v^{2}}{r} = f$ .

$\frac{m v^{2}}{r} = f$

Step 2

Multiply both sides by $r$ .

$\frac{m v^{2}}{r} r = f r$

Step 3

Simplify the left side.

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{m v^{2}}{r} r = f r$

Rewrite the expression.

$m v^{2} = f r$

Step 4

Divide each term in $m v^{2} = f r$ by $v^{2}$ and simplify.

Divide each term in $m v^{2} = f r$ by $v^{2}$ .

$\frac{m v^{2}}{v^{2}} = \frac{f r}{v^{2}}$

Simplify the left side.

Cancel the common factor of $v^{2}$ .

Cancel the common factor.

$\frac{m v^{2}}{v^{2}} = \frac{f r}{v^{2}}$

Divide $m$ by $1$ .

$m = \frac{f r}{v^{2}}$