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Gear Train Ratio Formula:
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The gear train ratio represents the relationship between the rotational speeds of the input and output gears in a mechanical system. It determines how much the speed and torque are changed through the gear train.
The calculator uses the gear train ratio formula:
Where:
Explanation: The ratio is calculated by multiplying the individual gear ratios between each pair of meshing gears in the train.
Details: Accurate gear ratio calculation is crucial for designing mechanical systems, determining speed/torque relationships, and ensuring proper power transmission in various applications from automotive to industrial machinery.
Tips: Enter the number of teeth for each gear in the train. At minimum, provide values for N1 and N2. Additional gear pairs can be added using N3, N4, etc. All values must be positive integers.
Q1: What does a gear ratio of 3:1 mean?
A: A 3:1 ratio means the input gear rotates 3 times for every 1 rotation of the output gear, resulting in increased torque but reduced speed.
Q2: How do I calculate ratio for compound gear trains?
A: For compound gear trains, multiply the ratios of each individual gear pair in the sequence.
Q3: What is the difference between speed ratio and torque ratio?
A: Speed ratio and torque ratio are inversely proportional. If speed increases by a factor, torque decreases by the same factor (ignoring efficiency losses).
Q4: Can I calculate ratio for planetary gear systems with this calculator?
A: This calculator is designed for simple and compound gear trains. Planetary gear systems require more complex calculations involving carrier, sun, and ring gears.
Q5: How does gear ratio affect mechanical advantage?
A: Higher gear ratios provide greater mechanical advantage (more torque), while lower ratios provide higher speed output with less torque.