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rad/s to rpm

alphonsio

To convert angular velocity from radians per second (rad/s) to revolutions per minute (rpm), you can use the following formula:

$N= \dfrac{60}{ 2 \pi } \times \omega$

$N_{(rpm)}= \dfrac{60}{ 2 \pi } \times \omega_{(rad/s)}$

with :

- $\omega_{(rad/s)}$ the angular velocity expressed in radians per second [rad/s]
- $N_{(rpm)}$ the angular velocity expressed in revolution per minute [rpm]

**1 revolution**is equivalent to $2\pi$ radians.**1 minute**is equivalent to 60 seconds.

So, to convert rad/s to rpm:

- Multiply the angular velocity by 60 to account for the conversion from seconds to minutes.
- Divide by $2\pi$ to convert radians to revolutions.

$\text{rpm} = \text{rad/s} \times \frac{60}{6.2832} \approx \text{rad/s} \times 9.5493$

We can deduce the following simplified formulas:

**1 rad/s ≈ 9.5492965855 rpm****1 rpm = 0.10471975511965977 rad/s**

Thus, multiplying the value in rad/s by approximately 9.5493 will give you the value in rpm.