Q
QuestionPhysics

What is the conversion from RPM (revolutions per minute) to rad/s (radians per second)?
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Answer

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Step 1
: Understand the problem

We need to convert revolutions per minute (RPM) to radians per second (rad/s). To do this, we'll use the following conversion factors: 1 revolution = 2π radians 1 minute = 60 seconds

Step 2
: Convert minutes to seconds

Time (s)=Time (min)×60 seconds1 minute\text{Time (s)} = \text{Time (min)} \times \frac{60 \text{ seconds}}{1 \text{ minute}}
Since there are 60 seconds in a minute, we can convert RPM to rad/s by first converting the time from minutes to seconds:

Final Answer

The conversion from RPM to rad/s is given by the equation: \text{W_rad/s} = \text{W_RPM} \times \frac{\pi}{30} \text{ rad/s} This equation allows you to convert a rotational speed in RPM to rad/s.

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