How To Calculate Output Torque

Output Torque Equation:

\[ Torque_{out} = Torque_{in} \times Gear\ Ratio \]

Output Torque (Torque_out):

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1. What is Output Torque?

Output torque is the rotational force produced by a mechanical system, calculated as the product of input torque and gear ratio. It represents the amplified or reduced torque delivered to the output shaft based on the gear system's mechanical advantage.

2. How Does the Calculator Work?

The calculator uses the output torque equation:

\[ Torque_{out} = Torque_{in} \times Gear\ Ratio \]

Where:

\( Torque_{in} \) — Input torque in Newton-meters (Nm)
\( Gear\ Ratio \) — Dimensionless ratio of output to input gear teeth

Explanation: The equation demonstrates how gear systems multiply or reduce torque based on their mechanical design, with higher gear ratios producing greater output torque.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate motors and gears, ensuring proper power transmission, and preventing mechanical failure due to insufficient or excessive torque.

4. Using the Calculator

Tips: Enter input torque in Nm and gear ratio as a dimensionless value. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is gear ratio and how is it determined?
A: Gear ratio is the ratio of the number of teeth on the output gear to the number of teeth on the input gear. It determines the mechanical advantage of the gear system.

Q2: Does this equation account for efficiency losses?
A: No, this basic equation assumes 100% efficiency. In real-world applications, efficiency losses due to friction should be considered for more accurate results.

Q3: Can this formula be used for compound gear systems?
A: For compound gear systems, the overall gear ratio is the product of individual gear ratios, and the same formula applies using the combined ratio.

Q4: What are typical gear ratio values?
A: Gear ratios typically range from 1:1 (no change) to 100:1 or higher for significant torque multiplication, depending on the application requirements.

Q5: How does output torque relate to output speed?
A: Output torque and speed have an inverse relationship. As gear ratio increases to multiply torque, output speed decreases proportionally to conserve energy.