Solve for L p=F/(pirL)

$p = \frac{F}{π \cdot r \cdot L}$

Rewrite the equation as $\frac{F}{π \cdot r \cdot L} = p$ .

$\frac{F}{π \cdot r \cdot L} = p$

Multiply $π r$ by $L$ .

$\frac{F}{π r L} = p$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$π r L, 1$

The LCM of one and any expression is the expression.

$π r L$

Multiply each term in $\frac{F}{π r L} = p$ by $π r L$ to eliminate the fractions.

Multiply each term in $\frac{F}{π r L} = p$ by $π r L$ .

$\frac{F}{π r L} (π r L) = p (π r L)$

Simplify the left side.

Rewrite using the commutative property of multiplication.

$π \frac{F}{π r L} (r L) = p (π r L)$

Cancel the common factor of $π$ .

Factor $π$ out of $π r L$ .

$π \frac{F}{π (r L)} (r L) = p (π r L)$

Cancel the common factor.

$π \frac{F}{π (r L)} (r L) = p (π r L)$

Rewrite the expression.

$\frac{F}{r L} (r L) = p (π r L)$

Cancel the common factor of $r L$ .

Cancel the common factor.

$\frac{F}{r L} (r L) = p (π r L)$

Rewrite the expression.

$F = p (π r L)$

Simplify the right side.

Rewrite using the commutative property of multiplication.

$F = π p r L$

Solve the equation.

Rewrite the equation as $π p r L = F$ .

$π p r L = F$

Divide each term in $π p r L = F$ by $π p r$ and simplify.

Divide each term in $π p r L = F$ by $π p r$ .

$\frac{π p r L}{π p r} = \frac{F}{π p r}$

Simplify the left side.

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π p r L}{π p r} = \frac{F}{π p r}$

Rewrite the expression.

$\frac{p r L}{p r} = \frac{F}{π p r}$

Cancel the common factor of $p$ .

Cancel the common factor.

$\frac{p r L}{p r} = \frac{F}{π p r}$

Rewrite the expression.

$\frac{r L}{r} = \frac{F}{π p r}$

Cancel the common factor of $r$ .

Cancel the common factor.

$\frac{r L}{r} = \frac{F}{π p r}$

Divide $L$ by $1$ .

$L = \frac{F}{π p r}$

Solve for L p=F/(pi*r*L)

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Solve for L p=F/(pirL)