Algebra Examples

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

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.

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Step 3.1

Cancel the common factor of $r$ .

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Step 3.1.1

Cancel the common factor.

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

Step 3.1.2

Rewrite the expression.

$m v^{2} = f r$

$m v^{2} = f r$

$m v^{2} = f r$

Step 4

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

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Step 4.1

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

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

Step 4.2

Simplify the left side.

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Step 4.2.1

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

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Divide $m$ by $1$ .

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

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

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$