Precalculus Examples

60 \frac{rev}{min}

$60 \frac{rev}{\min}$

Step 1

Use the fact that each revolution is

2 π

$2 π$ radians and each minute is

60

$60$ seconds to convert from

rpm

$rpm$ to

\frac{radian}{sec}

$\frac{radian}{sec}$

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

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

Step 2

Cancel the common units.

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

Step 3

Cancel the common factor of

$60$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

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

Step 3.2

Divide

$2 π$ by

$1$ .

$2 π \frac{radian}{sec}$

Enter YOUR Problem