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Gear Ratio Formula:
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The gear ratio RPM speed calculation determines the linear speed of a vehicle or machine based on the rotational speed (RPM), wheel/tire circumference, and gear ratio. This formula is essential in automotive engineering, mechanical design, and various industrial applications.
The calculator uses the gear ratio formula:
Where:
Explanation: The formula converts rotational motion to linear speed by accounting for the gear reduction and the distance traveled per revolution.
Details: Accurate speed calculations are crucial for vehicle performance optimization, transmission design, efficiency analysis, and ensuring proper gear selection for specific applications.
Tips: Enter RPM as positive values, circumference in meters, and gear ratio as a decimal value (e.g., 3.73:1 ratio = 3.73). All values must be greater than zero.
Q1: What is gear ratio?
A: Gear ratio is the ratio between the number of teeth on two gears that are meshed together, determining the mechanical advantage and speed relationship.
Q2: How do I measure circumference?
A: Measure the distance around the wheel or gear, or calculate it using the formula: Circumference = π × diameter.
Q3: What are typical gear ratio values?
A: Gear ratios vary widely by application. Automotive transmissions typically range from 2:1 to 5:1, while industrial machinery may have much higher ratios.
Q4: Can this calculator be used for bicycle gearing?
A: Yes, this formula works for any geared system including bicycles, motorcycles, cars, and industrial equipment.
Q5: How does gear ratio affect speed?
A: Higher gear ratios generally result in lower output speeds but higher torque, while lower ratios provide higher speeds with less torque.