Gear Ratio Formula:
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The gear ratio is the ratio of the number of teeth on the driving gear to the number of teeth on the driven gear. It determines the mechanical advantage and speed relationship between two meshing gears.
The calculator uses the gear ratio formula:
Where:
Explanation: The ratio shows how many turns the driving gear must make to turn the driven gear once. A ratio greater than 1 indicates speed reduction and torque increase.
Details: Gear ratios are crucial in mechanical systems for controlling speed, torque, and direction of rotation. They are used in transmissions, differentials, and many other mechanical applications.
Tips: Enter the number of teeth for both gears (must be positive integers). The calculator will show the ratio in X:1 format.
Q1: What does a gear ratio of 2:1 mean?
A: It means the driving gear turns twice for each turn of the driven gear, resulting in half the speed but double the torque at the output.
Q2: How does gear ratio affect speed and torque?
A: Higher ratios reduce output speed but increase torque. Lower ratios increase speed but reduce torque.
Q3: What's the difference between gear ratio and velocity ratio?
A: They are the same when gears are meshed directly. Velocity ratio may differ when belts or chains are involved due to slip or stretch.
Q4: Can gear ratio be less than 1?
A: Yes, this indicates the driven gear rotates faster than the driving gear (speed increase, torque reduction).
Q5: How do multiple gear stages affect the overall ratio?
A: For multiple gear pairs in series, multiply the individual ratios to get the total ratio.