Sprocket Gear Ratio Formula:
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The sprocket gear ratio is the relationship between the number of teeth on two connected sprockets. It determines the mechanical advantage and speed relationship between the driving and driven components in a chain drive system.
The calculator uses the sprocket gear ratio formula:
Where:
Explanation: A ratio greater than 1 indicates speed reduction and torque increase, while a ratio less than 1 indicates speed increase and torque reduction.
Details: Proper gear ratio selection is crucial for optimizing performance, efficiency, and longevity of chain drive systems in bicycles, motorcycles, industrial machinery, and other applications.
Tips: Enter the number of teeth on both the driven and driver sprockets. Both values must be positive integers (typically between 10-100 teeth for most applications).
Q1: What is a typical sprocket gear ratio range?
A: Common ratios range from 1:1 to about 4:1, though specialized applications may use ratios outside this range.
Q2: How does gear ratio affect speed?
A: A higher ratio (driven/driver > 1) reduces output speed but increases torque. A lower ratio increases speed but reduces torque.
Q3: Can I use this for bicycle gearing?
A: Yes, this calculator works for bicycle chainring and cassette sprocket combinations to determine gear ratios.
Q4: What about chain length calculation?
A: This calculator only determines the gear ratio. Chain length depends on sprocket sizes and center distance between shafts.
Q5: Are there limitations to very high ratios?
A: Extremely high ratios may require larger sprockets that create packaging challenges and increase system weight and cost.