Planetary Gear Ratio Formula:
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The planetary gear ratio determines the relationship between the input and output speeds in a planetary gear system. It's calculated based on the number of teeth in the ring gear and sun (pinion) gear.
The calculator uses the planetary gear ratio formula:
Where:
Explanation: The ratio represents how many times the input must rotate to make the output rotate once.
Details: Accurate gear ratio calculation is crucial for designing gear systems with the desired speed and torque characteristics.
Tips: Enter the number of teeth for both the ring gear and pinion gear. Both values must be positive integers.
Q1: What is a typical planetary gear ratio?
A: Common ratios range from 3:1 to 10:1, but can be higher depending on the application.
Q2: How does this differ from simple gear ratio?
A: Planetary systems offer more compact designs and can achieve higher reduction ratios in less space.
Q3: What affects the maximum possible ratio?
A: Physical size constraints and the minimum number of teeth that can be practically manufactured on the pinion gear.
Q4: Can planetary gears increase speed?
A: Yes, when used in reverse (output taken from the sun gear), they can increase speed while reducing torque.
Q5: What are common applications?
A: Automatic transmissions, helicopter rotors, wind turbines, and precision machinery often use planetary gears.