2 Gear Speed Calculator

Gear Speed Equation:

\[ \text{Output Speed} = \text{Input Speed} \times \left( \frac{T1}{T2} \right) \]

Output Speed:

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1. What is the Gear Speed Equation?

The gear speed equation relates the rotational speeds of two meshing gears to their number of teeth. It's fundamental in mechanical engineering for designing gear systems.

2. How Does the Calculator Work?

The calculator uses the gear speed equation:

\[ \text{Output Speed} = \text{Input Speed} \times \left( \frac{T1}{T2} \right) \]

Where:

\( \text{Input Speed} \) — Rotational speed of driver gear (rpm)
\( T1 \) — Number of teeth on driver gear
\( T2 \) — Number of teeth on driven gear

Explanation: The output speed is inversely proportional to the gear ratio (T1/T2). More teeth on the driven gear results in slower output speed.

3. Importance of Gear Ratio Calculation

Details: Proper gear ratio calculation is essential for designing mechanical systems with desired speed and torque characteristics.

4. Using the Calculator

Tips: Enter input speed in RPM and the number of teeth for both gears. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What happens if T2 is larger than T1?
A: The output speed will be slower than the input speed (speed reduction).

Q2: What's the relationship between speed and torque?
A: Torque is inversely proportional to speed - when speed decreases, torque increases, and vice versa.

Q3: Can this be used for gear trains with more than 2 gears?
A: For multiple gears, multiply the individual gear ratios sequentially.

Q4: Does this account for efficiency losses?
A: No, this calculates theoretical speed. Actual speed may be slightly lower due to friction.

Q5: What units should be used for input speed?
A: The calculator uses RPM (revolutions per minute), but any consistent angular velocity unit would work.