Gear Speed Formula:
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Definition: This calculator determines the linear speed at the edge of a rotating gear based on its RPM and diameter.
Purpose: It helps mechanical engineers and technicians calculate gear speeds for proper system design and operation.
The calculator uses the formula:
Where:
Explanation: The formula converts rotational speed (RPM) to linear speed by accounting for the gear's circumference and converting minutes to seconds.
Details: Accurate speed calculations ensure proper gear meshing, prevent excessive wear, and maintain desired operational characteristics in mechanical systems.
Tips: Enter the gear's RPM and diameter in meters. Both values must be greater than 0.
Q1: Why is the result in meters per second?
A: This is the standard SI unit for speed. Multiply by 3.6 to convert to km/h or 2.237 for mph.
Q2: Does this work for any circular rotating object?
A: Yes, the formula applies to any rotating circular object like pulleys, wheels, or gears.
Q3: How does gear diameter affect speed?
A: At the same RPM, larger diameters produce higher linear speeds at the edge.
Q4: What's a typical RPM range for gears?
A: This varies widely - from <100 RPM in heavy machinery to >10,000 RPM in precision instruments.
Q5: Can I use diameter in other units?
A: First convert to meters for accurate results in m/s, or adjust the formula accordingly.