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Gear Ratio Formula:
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Gear ratio (GR) is a mechanical advantage measurement that compares the number of teeth on two meshing gears. It represents the ratio between the rotational speeds of the driving gear and the driven gear in a mechanical system.
The calculator uses the gear ratio formula:
Where:
Explanation: The formula calculates how many times the driving gear must rotate to make the driven gear complete one full rotation.
Details: Gear ratio calculation is crucial for designing mechanical systems, determining torque multiplication, speed reduction, and ensuring proper power transmission in various applications from automotive transmissions to industrial machinery.
Tips: Enter the number of teeth on both driven and driving gears. Both values must be positive integers greater than zero for accurate calculation.
Q1: What does a gear ratio greater than 1 indicate?
A: A ratio greater than 1 indicates speed reduction and torque multiplication - the driven gear rotates slower than the driving gear but with more torque.
Q2: What does a gear ratio less than 1 indicate?
A: A ratio less than 1 indicates speed increase and torque reduction - the driven gear rotates faster than the driving gear but with less torque.
Q3: How is gear ratio related to mechanical advantage?
A: Gear ratio directly represents mechanical advantage. Higher ratios provide greater torque multiplication at the expense of rotational speed.
Q4: Can gear ratio be applied to gear systems with multiple gears?
A: Yes, for compound gear systems, the overall ratio is the product of individual gear ratios between each pair of meshing gears.
Q5: What are typical gear ratio values in automotive applications?
A: Automotive gear ratios typically range from 2:1 to 5:1 for final drive ratios, with transmission gear ratios varying from underdrive (less than 1) to overdrive (greater than 1).