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Calculate Torque From Rpm And Gear Ratio

Torque Output Formula:

\[ T_{out} = T_{in} \times \text{Gear Ratio} \]

Nm
dimensionless

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1. What is Torque Calculation From RPM and Gear Ratio?

The torque calculation from RPM and gear ratio determines the output torque in a mechanical system based on input torque and the gear ratio. It's essential for designing and analyzing gear systems in various mechanical applications.

2. How Does the Calculator Work?

The calculator uses the torque equation:

\[ T_{out} = T_{in} \times \text{Gear Ratio} \]

Where:

Explanation: The equation shows that output torque increases proportionally with the gear ratio when input torque remains constant.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for proper gear system design, ensuring adequate power transmission, preventing mechanical failures, and optimizing system performance.

4. Using the Calculator

Tips: Enter input torque in Newton-meters (Nm) and gear ratio as a dimensionless value. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: How does gear ratio affect torque output?
A: Higher gear ratios produce higher output torque, while lower ratios produce lower output torque, assuming constant input torque.

Q2: What is the relationship between torque and RPM in gear systems?
A: As gear ratio increases output torque, it decreases output RPM proportionally, maintaining the same power (minus efficiency losses).

Q3: Are there efficiency losses in real gear systems?
A: Yes, real gear systems have efficiency losses due to friction, typically ranging from 90-98% efficiency per gear mesh.

Q4: Can this calculation be used for all types of gears?
A: The basic principle applies to all gear types (spur, helical, bevel, worm), though efficiency factors may vary between gear types.

Q5: How do I account for multiple gear stages?
A: For multiple gear stages, multiply the individual gear ratios together and then apply the total ratio to the input torque calculation.

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