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Gear Sprocket Ratio Formula:
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The gear sprocket ratio is a mechanical calculation that determines the relationship between the number of teeth on the driven gear/sprocket and the driver gear/sprocket. It indicates how many revolutions the driver component must make to turn the driven component once.
The calculator uses the gear ratio formula:
Where:
Explanation: The ratio represents how many times the driven component rotates for each rotation of the driver component. A ratio greater than 1 indicates speed reduction, while a ratio less than 1 indicates speed increase.
Details: Accurate gear ratio calculation is crucial for mechanical design, torque transmission, speed control, and efficiency optimization in various mechanical systems including automotive transmissions, bicycles, industrial machinery, and robotics.
Tips: Enter the number of teeth for both driven and driver gears/sprockets. Both values must be positive integers greater than zero for accurate calculation.
Q1: What does a gear ratio of 2:1 mean?
A: A 2:1 ratio means the driver gear must rotate twice to make the driven gear rotate once, resulting in speed reduction and torque increase.
Q2: How does gear ratio affect torque and speed?
A: Higher ratios reduce speed but increase torque, while lower ratios increase speed but reduce torque output.
Q3: Can I use this calculator for chain and sprocket systems?
A: Yes, the same ratio calculation applies to both gear systems and chain/sprocket systems.
Q4: What is the difference between gear ratio and mechanical advantage?
A: Gear ratio describes the rotational relationship, while mechanical advantage considers both rotational and force relationships in the system.
Q5: How do I calculate the overall ratio in a compound gear system?
A: Multiply individual stage ratios together: Overall Ratio = Ratio₁ × Ratio₂ × Ratio₃ × ...