Motor Speed Formula:
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Definition: This calculator determines the output speed of a motor or gear system based on the input speed and gear ratio.
Purpose: It helps engineers, mechanics, and hobbyists understand how gear ratios affect rotational speed in mechanical systems.
The calculator uses the formula:
Where:
Explanation: The output speed is calculated by dividing the input speed by the gear ratio. Higher gear ratios result in lower output speeds but increased torque.
Details: Proper gear ratio selection ensures optimal performance, efficiency, and longevity of mechanical systems by matching speed and torque requirements.
Tips: Enter the motor/input speed in RPM and the gear ratio (must be > 0). The gear ratio is typically expressed as input teeth:output teeth (e.g., 3:1 would be entered as 3).
Q1: What is a typical gear ratio range?
A: Common ratios range from 1:1 (direct drive) to 100:1 or more for high-reduction applications.
Q2: How does this relate to torque?
A: While speed decreases with higher gear ratios, torque increases proportionally (ignoring efficiency losses).
Q3: Can I use this for belt/pulley systems?
A: Yes, the same formula applies where GR is the ratio of pulley diameters.
Q4: What if I have multiple gear stages?
A: Multiply the individual gear ratios together to get the total ratio before using the calculator.
Q5: Does this account for efficiency losses?
A: No, this calculates theoretical speed. Actual speed may be slightly lower due to friction and other losses.