Linear Speed Formula:
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Definition: This calculator converts rotational speed (RPM) to linear speed (m/s) based on the diameter of the rotating object.
Purpose: It helps engineers, mechanics, and technicians determine the linear velocity at the edge of rotating components like wheels, gears, or pulleys.
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: This conversion is crucial for designing mechanical systems, determining conveyor belt speeds, calculating vehicle speeds from wheel RPM, and ensuring safe operating velocities.
Tips: Enter the RPM value and the diameter of the rotating object in meters. Both values must be greater than 0.
Q1: What if my diameter is in centimeters or inches?
A: Convert to meters first (100 cm = 1 m, 39.37 inches = 1 m) before entering the value.
Q2: Can I calculate RPM from linear speed?
A: Yes, rearrange the formula: \( RPM = \frac{V \times 60}{\pi \times D} \).
Q3: Does this work for any rotating object?
A: Yes, as long as you know the RPM and the diameter at the point where you want to measure linear speed.
Q4: Why divide by 60 in the formula?
A: To convert from minutes (in RPM) to seconds (in m/s).
Q5: What's a typical application for this calculation?
A: Common uses include determining vehicle speed from wheel RPM, conveyor belt speeds, and rotational machinery safety assessments.