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RPM Calculation Formula:
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RPM calculation from gearbox ratio determines the output rotational speed of a gearbox based on the input speed and the gear ratio. This is essential for understanding how mechanical systems transmit and transform rotational motion.
The calculator uses the RPM calculation formula:
Where:
Explanation: The gearbox ratio represents how many times the input shaft must rotate to produce one full rotation of the output shaft. A higher ratio results in lower output RPM but higher torque.
Details: Accurate RPM calculation is crucial for designing mechanical systems, selecting appropriate gearboxes, ensuring proper equipment operation, and optimizing performance in automotive, industrial, and mechanical applications.
Tips: Enter input RPM and gearbox ratio. Both values must be positive numbers. The gearbox ratio should be greater than 1 for reduction gears and less than 1 for overdrive applications.
Q1: What is a typical gearbox ratio range?
A: Gearbox ratios vary widely depending on application, ranging from 1:1 (direct drive) to 100:1 or more for heavy reduction applications.
Q2: How does gearbox ratio affect torque?
A: While RPM decreases with higher ratios, torque increases proportionally. Output torque = Input torque × Gear ratio (assuming ideal efficiency).
Q3: Can this formula be used for compound gear systems?
A: For compound gear systems, multiply individual gear ratios to get the overall ratio before applying this formula.
Q4: What if the gearbox has multiple gear stages?
A: For multi-stage gearboxes, the total ratio is the product of all individual stage ratios. Use this total ratio in the calculation.
Q5: How does efficiency affect the calculation?
A: This formula assumes 100% efficiency. In real applications, actual output RPM may be slightly lower due to efficiency losses in the gear system.