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Motor Speed With Gear Ratio Formula

Motor Speed Formula:

\[ S_{out} = \frac{S_{in}}{GR} \]

rpm
rpm

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1. What is the Motor Speed With Gear Ratio Formula?

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.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S_{out} = \frac{S_{in}}{GR} \]

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.

3. Importance of Gear Ratio Calculations

Details: Proper gear ratio selection ensures optimal performance, efficiency, and longevity of mechanical systems by matching speed and torque requirements.

4. Using the Calculator

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).

5. Frequently Asked Questions (FAQ)

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.

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