Double Reduction Formula:
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A double reduction gearbox uses two sets of gears to achieve a higher total reduction ratio than would be practical with a single reduction. This design allows for more compact gearboxes when large speed reductions are needed.
The calculator uses the double reduction formula:
Where:
Explanation: The total gear ratio is the product of the individual ratios of each reduction stage.
Details: Accurate gear ratio calculation is crucial for determining output speed and torque in mechanical systems, ensuring proper equipment performance and longevity.
Tips: Enter both gear ratios as positive numbers. The calculator will compute the total reduction ratio which determines the final output speed relative to input speed.
Q1: Why use a double reduction instead of single?
A: Double reduction allows for higher total ratios in a more compact package and can distribute load across more gears.
Q2: What are typical ratio ranges?
A: First stage typically 3:1 to 6:1, second stage 2:1 to 5:1, with total ratios from 6:1 up to 30:1 or more.
Q3: How does this affect torque?
A: Torque is multiplied by the total ratio (minus efficiency losses), while speed is divided by the total ratio.
Q4: What about efficiency losses?
A: Each gear mesh typically has 1-2% loss, so total efficiency is about 96-98% for two meshes.
Q5: Can this be used for gearboxes with more stages?
A: Yes, the same principle applies - multiply all individual stage ratios together for the total ratio.