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Convert 18.7 rad/s to rpm
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18.7 rad/s = 178.57184614910656 rpm

Here is an online converter from rad/s to rpm

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

  • 1 revolution = 2π2\pi radians
  • 1 minute = 60 seconds

The formula to convert rad/s to rpm is given by :

N(rpm)=602π.ω(rad.s−1)N_{(rpm)} = \frac {60}{2\pi}.\omega_{(rad.s^{-1})}

To convert 18.7 rad/s to rpm:

  1. Convert radians per second to revolutions per second:
    18.7 rad/s2π rad/rev≈18.76.2832 rev/s≈2.976 rev/s\frac{18.7 \ \text{rad/s}}{2\pi \ \text{rad/rev}} \approx \frac{18.7}{6.2832} \ \text{rev/s} \approx 2.976 \ \text{rev/s}

  2. Now, convert revolutions per second to revolutions per minute by multiplying by 60:
    2.976 rev/s×60 s/min=178.57184614910656 rpm2.976 \ \text{rev/s} \times 60 \ \text{s/min} = 178.57184614910656 \ \text{rpm}

Therefore, 18.7 rad/s is approximately 178.57 rpm.