How do you convert rev/sec to a linear velocity?

In summary, the formula for converting rev/sec to linear velocity is linear velocity = 2πr x rev/sec, where r is the radius of the rotating object. The radius can be measured by taking the distance from the center of the rotating object to the edge, or by using the diameter and dividing it by 2. This conversion can be used for any rotating object as long as the radius is known and the units are consistent. The units for rev/sec and linear velocity should be consistent, such as revolutions per second and meters per second. One simpler way to convert rev/sec to linear velocity is by using an online calculator or app that can do the conversion for you. Another option is to remember that 2π radians is equivalent to
  • #1
koreo07
2
0
how do you convert rev/sec to a linear velocity ex. m/s or in/s or ft/s?
 
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  • #2
Multiply by circumference.
 
  • #3


To convert rev/sec to linear velocity, you will need to know the radius of the rotating object. The formula for converting rev/sec to linear velocity is linear velocity = 2πr x rev/sec, where r is the radius of the object. This formula assumes that the object is rotating in a perfect circle.

For example, if an object has a radius of 0.5 meters and is rotating at a rate of 2 revolutions per second, the linear velocity would be 2π x 0.5 x 2 = 6.28 m/s.

To convert this linear velocity to other units, you can use conversion factors. For instance, to convert to inches per second, you would multiply the linear velocity in meters per second by 39.37. So the linear velocity in inches per second would be 6.28 x 39.37 = 247.16 in/s.

Similarly, to convert to feet per second, you would multiply the linear velocity in meters per second by 3.28. So the linear velocity in feet per second would be 6.28 x 3.28 = 20.62 ft/s.

It is important to note that this conversion assumes that the object is rotating at a constant rate. If the rotational speed is changing, the linear velocity will also change accordingly.
 

1. What is the formula for converting rev/sec to linear velocity?

The formula for converting rev/sec to linear velocity is linear velocity = 2πr x rev/sec, where r is the radius of the rotating object.

2. How do I determine the radius in the conversion?

The radius can be measured by taking the distance from the center of the rotating object to the edge, or by using the diameter and dividing it by 2.

3. Can I use this conversion for any rotating object?

Yes, this formula can be used for any rotating object as long as the radius is known and the units are consistent.

4. What units should I use for the conversion?

The units for rev/sec and linear velocity should be consistent, such as revolutions per second and meters per second.

5. Is there a simpler way to convert rev/sec to linear velocity?

One simpler way to convert rev/sec to linear velocity is by using an online calculator or app that can do the conversion for you. Another option is to remember that 2π radians is equivalent to one full revolution, and use that for quick estimations.

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