Gear Ratio Formula:
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Gear ratio is a fundamental concept in mechanical engineering that represents the relationship between the number of teeth on two meshing gears. It determines the mechanical advantage, speed, and torque in gear systems.
The calculator uses the gear ratio formula:
Where:
Explanation: The ratio indicates how many times the driven gear rotates for each rotation of the driver gear. A ratio greater than 1 indicates speed reduction and torque multiplication.
Details: Accurate gear ratio calculation is essential for designing efficient mechanical systems, determining appropriate gear sizes, and optimizing performance in automotive, industrial, and robotics applications.
Tips: Enter the number of teeth for both driven and driver gears. Values must be positive integers greater than zero. The calculator will display the ratio in the format X:1.
Q1: What does a gear ratio of 3:1 mean?
A: A 3:1 ratio means the driven gear rotates once for every three rotations of the driver gear, providing speed reduction and torque multiplication.
Q2: Can gear ratio be less than 1?
A: Yes, a ratio less than 1 indicates an overdrive situation where the driven gear rotates faster than the driver gear, increasing speed but reducing torque.
Q3: How does gear ratio affect mechanical advantage?
A: Higher gear ratios provide greater mechanical advantage, allowing smaller input forces to move heavier loads, but at reduced output speed.
Q4: Are there limitations to this calculation?
Q5: How is gear ratio different in compound gear systems?
A: In compound gear systems, the overall ratio is calculated by multiplying the individual ratios of each gear pair in the system.