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Gear Ratio Formula:
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Gear ratio is a fundamental mechanical concept that represents the ratio between the number of teeth on two meshing gears. It determines the relationship between input and output speed and torque in gear systems.
The calculator uses the basic gear ratio formula:
Where:
Explanation: The gear 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 crucial for designing mechanical systems, determining speed and torque requirements, optimizing performance, and ensuring proper gear selection for various applications.
Tips: Enter the number of teeth on both driven and driver gears. 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 gear ratio means the driven gear rotates once for every two rotations of the driver gear, resulting in speed reduction and torque multiplication.
Q2: How does gear ratio affect torque?
A: Higher gear ratios provide greater torque multiplication at the expense of speed reduction, while lower ratios provide speed increase with torque reduction.
Q3: Can gear ratio be less than 1?
A: Yes, a gear ratio less than 1 indicates that the driven gear has fewer teeth than the driver gear, resulting in speed increase and torque reduction.
Q4: What are typical gear ratio applications?
A: Gear ratios are used in automotive transmissions, industrial machinery, robotics, watches, and any mechanical system requiring speed/torque conversion.
Q5: How does gear ratio relate to mechanical advantage?
A: The gear ratio directly determines the mechanical advantage - a higher ratio provides greater mechanical advantage for lifting or moving heavy loads.