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Gearing Ratio Formula:
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The transmission gearing ratio is a dimensionless value that represents the relationship between input and output rotational speeds in a mechanical system. It indicates how many times the input shaft must rotate to produce one rotation of the output shaft.
The calculator uses the gearing ratio formula:
Where:
Explanation: The ratio shows the speed reduction or multiplication between input and output shafts. A ratio greater than 1 indicates speed reduction, while less than 1 indicates speed multiplication.
Details: Gearing ratio is crucial for designing mechanical systems, determining torque multiplication, and optimizing performance in vehicles, industrial machinery, and other mechanical applications.
Tips: Enter the input and output RPM values (both must be greater than 0). The calculator will compute the ratio between them.
Q1: What does a gearing ratio of 3:1 mean?
A: It means the input shaft rotates 3 times for every 1 rotation of the output shaft, resulting in speed reduction and torque multiplication.
Q2: How does gearing ratio affect vehicle performance?
A: Lower ratios (numerically higher) provide better acceleration and towing capacity, while higher ratios improve fuel efficiency at highway speeds.
Q3: What's the difference between gear ratio and transmission ratio?
A: Gear ratio refers to individual gear pairs, while transmission ratio is the overall ratio including all gear reductions in the system.
Q4: Can the output RPM be higher than input RPM?
A: Yes, this is called overdrive and results in a ratio less than 1, where the output shaft rotates faster than the input.
Q5: How do I calculate torque from gearing ratio?
A: Output torque = Input torque × gearing ratio (assuming ideal efficiency). The ratio multiplies torque when reducing speed.