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The relationship between RPM (Revolutions Per Minute) and Cutting Speed can be calculated using the following formula:
\( V_c = \frac{\pi D N}{1000} \)
- \( V_c \): Cutting Speed (in meters per minute).
- \( \pi \): Circular Constant (approximately 3.14159).
- \( D \): Diameter of the workpiece (in millimeters).
- \( N \): Revolutions Per Minute (rotation speed).
If the RPM (\( N \)) is 1000 and the diameter of the workpiece (\( D \)) is 50 mm:
\( V_c = \frac{\pi \times 50 \times 1000}{1000} = 157.08 \, \text{m/min} \)
This calculator helps determine the cutting speed (\( V_c \)) of a rotating workpiece based on its RPM and diameter, useful in machining applications.
Yes, the calculator supports various units for rotation rate, including RPM, radians/second, degrees/second, and more. All inputs are converted to RPM for accurate calculations.
The calculator accepts diameter inputs in millimeters, centimeters, meters, inches, and feet, and automatically converts them to millimeters for the calculation. Results are provided in multiple units for convenience.
Entering zero for RPM or diameter will result in a zero cutting speed, as the formula multiplies these values. Please ensure inputs are greater than zero for meaningful results.
The results are displayed in multiple units (m/min, ft/min) to allow you to use the value in your preferred unit.