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Gear Speed Equation:
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The Gear Speed Equation calculates the output speed of a gear system based on the input speed and the number of teeth on the input and output gears. It demonstrates the fundamental principle of gear ratios in mechanical systems.
The calculator uses the gear speed equation:
Where:
Explanation: The equation shows that output speed is inversely proportional to the number of teeth on the output gear. More teeth on the output gear results in slower output speed.
Details: Accurate gear speed calculation is crucial for designing mechanical systems, determining torque requirements, and ensuring proper operation of gear-driven machinery in automotive, industrial, and robotics applications.
Tips: Enter input speed in rpm, and the number of teeth for both input and output gears. All values must be positive numbers (speed > 0, teeth ≥ 1).
Q1: What is a gear ratio?
A: Gear ratio is the ratio of the number of teeth on two meshing gears. It determines the speed and torque relationship between input and output.
Q2: How does gear ratio affect torque?
A: Torque increases proportionally as speed decreases. A higher gear ratio (more output teeth) provides more torque but less speed.
Q3: Can this calculator be used for multiple gears?
A: This calculator is for simple two-gear systems. For multiple gear trains, the overall ratio is the product of individual gear ratios.
Q4: What are typical gear ratios used in practice?
A: Gear ratios vary widely by application, from 1:1 for direct drive to 100:1 or more for high-reduction applications like winches or heavy machinery.
Q5: How does gear size affect the calculation?
A: For spur gears, the number of teeth is directly proportional to gear diameter, so the equation works for both tooth count and diameter ratios.