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Linear Velocity to RPM Formula:
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Linear velocity to RPM conversion calculates the rotational speed of an object based on its linear velocity and radius. This is particularly useful in mechanical engineering, automotive applications, and various rotating machinery systems.
The calculator uses the conversion formula:
Where:
Explanation: The formula converts linear speed to rotational speed by dividing the linear velocity by the circumference (2πr) and then converting from revolutions per second to revolutions per minute by multiplying by 60.
Details: Accurate RPM calculation is essential for designing mechanical systems, determining optimal operating speeds, ensuring equipment safety, and maintaining proper performance in rotating machinery.
Tips: Enter linear velocity in meters per second (m/s) and radius in meters (m). Both values must be positive numbers greater than zero for accurate calculation.
Q1: Why multiply by 60 in the formula?
A: The multiplication by 60 converts from revolutions per second (which results from v/2πr) to revolutions per minute, as there are 60 seconds in a minute.
Q2: What are typical RPM ranges for common applications?
A: Typical ranges vary widely: car engines (600-8000 RPM), electric motors (1000-3600 RPM), industrial machinery (100-3000 RPM), and computer fans (1000-5000 RPM).
Q3: Can this formula be used for any rotating object?
A: Yes, the formula applies to any object rotating about a fixed axis, provided you know the linear velocity at a specific radius from the center of rotation.
Q4: How does radius affect the RPM calculation?
A: Larger radius results in lower RPM for the same linear velocity, as the circumference is larger and each revolution covers more distance.
Q5: What if I have diameter instead of radius?
A: Simply divide the diameter by 2 to get the radius, then use the formula with the radius value.