To convert revolutions per minute (rpm) to meters per second (m/s), you can use the following formulas:

1. If you know the angular velocity in rpm and the radius of the rotating object:

   • Linear velocity (m/s) = Radius (m) × Angular velocity (rpm) × (2π/60) [1]

2. If you know the linear velocity in m/s and the radius of the rotating object:

   • Angular velocity (rpm) = Linear velocity (m/s) / (Radius (m) × (2π/60)) [1]

Here's a step-by-step guide on how to convert rpm to m/s:

1. Determine the angular velocity in rpm.
2. Measure or determine the radius of the rotating object in meters.
3. Use the formula mentioned above to calculate the linear velocity in m/s.

For example, let's say you have an object rotating at 100 rpm with a radius of 0.5 meters. To convert this to m/s:

Linear velocity (m/s) = 0.5 (m) × 100 (rpm) × (2π/60) ≈ 5.24 m/s

So, the linear velocity of the object is approximately 5.24 m/s.

Remember to always include the appropriate units in your calculations to ensure accurate conversions.

Learn more:

1. Convert revolutions per minute [rpm] to meters per second [m/s] and vice-versa |
2. Conversion: Convert rpm to m/s
3. How to convert revolutions per minute [rpm] to meters per second [m/s]