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Gear Speed And Torque Calculator

Gear Ratio Equations:

\[ Speed_{out} = Speed_{in} \times (T_{in} / T_{out}) \] \[ Torque_{out} = Torque_{in} \times (T_{out} / T_{in}) \]

rpm
Nm

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1. What is Gear Speed and Torque Calculation?

The gear speed and torque calculation determines how a gear system affects the rotational speed and torque between input and output gears based on their number of teeth.

2. How Does the Calculator Work?

The calculator uses the gear ratio equations:

\[ Speed_{out} = Speed_{in} \times (T_{in} / T_{out}) \] \[ Torque_{out} = Torque_{in} \times (T_{out} / T_{in}) \]

Where:

Explanation: When two gears mesh together, the speed decreases and torque increases when going from a smaller gear to a larger one, and vice versa.

3. Importance of Gear Ratio Calculation

Details: Understanding gear ratios is essential for designing mechanical systems that require specific speed and torque characteristics.

4. Using the Calculator

Tips: Enter input speed in rpm, number of teeth for both gears, and input torque in Nm. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens when output gear has more teeth than input gear?
A: The output speed decreases and torque increases compared to the input.

Q2: Can I use this for gear trains with multiple gears?
A: For multiple gears, calculate sequentially from one gear pair to the next.

Q3: Does this account for efficiency losses?
A: No, this calculates ideal values. Real systems have some efficiency loss.

Q4: What if I have a gear reduction system?
A: The same equations apply - just use the appropriate number of teeth for each gear.

Q5: How does this relate to power transmission?
A: Power (in watts) is speed × torque (with appropriate unit conversion), and remains constant (minus losses) through the system.

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