Precalculus Examples

$12 \frac{rev}{\min}$

Step 1

Use the fact that each revolution is $2 π$ radians and each minute is $60$ seconds to convert from $rpm$ to $\frac{radian}{sec}$

$\frac{12 \cdot round}{min} \cdot \frac{2 π \cdot radian}{round} \cdot \frac{min}{60 \cdot sec}$

Step 2

Cancel the common units.

$\frac{12 \cdot round}{min} \cdot \frac{2 π \cdot radian}{round} \cdot \frac{min}{60 \cdot sec}$

Step 3

Cancel the common factor of $12$ and $60$ .

Tap for more steps...

Step 3.1

Factor $12$ out of $12 \cdot (2 π)$ .

$\frac{12 (2 π)}{60} \cdot \frac{radian}{sec}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $12$ out of $60$ .

$\frac{12 (2 π)}{12 \cdot 5} \cdot \frac{radian}{sec}$

Step 3.2.2

Cancel the common factor.

$\frac{12 (2 π)}{12 \cdot 5} \cdot \frac{radian}{sec}$

Step 3.2.3

Rewrite the expression.

$\frac{2 π}{5} \cdot \frac{radian}{sec}$

Enter YOUR Problem