Linear Velocity Formula:
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Definition: This calculator converts rotational speed (RPM) to linear velocity (m/s) based on the diameter of the rotating object.
Purpose: It helps engineers, mechanics, and technicians determine the linear speed at the edge of rotating machinery, wheels, or other circular objects.
The calculator uses the formula:
Where:
Explanation: The formula converts rotational speed to linear speed by calculating the circumference traveled per revolution and scaling from minutes to seconds.
Details: Understanding the linear velocity helps in designing mechanical systems, calculating belt speeds, determining cutting speeds in machining, and analyzing vehicle wheel speeds.
Tips: Enter the RPM value and the diameter of the rotating object in meters. Both values must be positive numbers.
Q1: Why divide by 60 in the formula?
A: The division by 60 converts minutes to seconds since RPM is per minute and we want velocity in meters per second.
Q2: Can I use this for any rotating object?
A: Yes, as long as you know the RPM and diameter, this works for wheels, gears, pulleys, etc.
Q3: What if my diameter is in centimeters?
A: Convert to meters first (divide cm by 100) since the result is in meters per second.
Q4: How accurate is this calculation?
A: It's mathematically exact, assuming no slip and perfect circular motion.
Q5: What's the relationship between RPM and speed?
A: Linear speed increases proportionally with both RPM and diameter. Doubling either will double the linear speed.