1. What is the Gear Torque Ratio?

The gear torque ratio describes the relationship between input torque and output torque in a gear system. It represents the mechanical advantage gained or lost through the gear arrangement.

2. How Does the Calculator Work?

The calculator uses the torque ratio formula:

Where:

• \( Torque_{in} \) — Input torque in Newton-meters (Nm)
• \( Ratio \) — Gear ratio (decimal value)
• \( Torque_{out} \) — Output torque in Newton-meters (Nm)

Explanation: The output torque is directly proportional to the input torque multiplied by the gear ratio. A ratio greater than 1 increases torque while reducing speed, and a ratio less than 1 decreases torque while increasing speed.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing mechanical systems, selecting appropriate gears, ensuring proper power transmission, and preventing mechanical failure in gear systems.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is a typical gear ratio range?
A: Gear ratios typically range from 1:1 to about 10:1 for single gear sets, with compound gear systems capable of much higher ratios.

Q2: How does gear ratio affect speed?
A: Torque and speed have an inverse relationship. When torque increases through gearing, speed decreases proportionally, and vice versa.

Q3: What units should I use for torque?
A: This calculator uses Newton-meters (Nm), but you can convert from other units like foot-pounds (1 ft-lb = 1.35582 Nm) before calculation.

Q4: Does efficiency affect the output torque?
A: Yes, real-world systems have efficiency losses due to friction. The calculated value represents ideal theoretical output without efficiency losses.

Q5: Can this calculator be used for pulley systems?
A: Yes, the same torque ratio principle applies to pulley systems and other mechanical advantage systems.