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Gear Ratio Calculator Tool

Gear Ratio Formula:

\[ GR = \frac{Teeth_{driven}}{Teeth_{driver}} \]

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1. What is Gear Ratio?

The gear ratio is the ratio of the number of teeth on the driven gear to the number of teeth on the driver gear. It determines the mechanical advantage and speed relationship between two meshing gears.

2. How Does the Calculator Work?

The calculator uses the gear ratio formula:

\[ GR = \frac{Teeth_{driven}}{Teeth_{driver}} \]

Where:

Explanation: A gear ratio greater than 1 indicates speed reduction and torque multiplication, while a ratio less than 1 indicates speed increase and torque reduction.

3. Importance of Gear Ratio Calculation

Details: Gear ratio is crucial for designing mechanical systems, determining output speed and torque, and ensuring proper power transmission in gear systems.

4. Using the Calculator

Tips: Enter the number of teeth for both driven and driver gears. Both values must be positive integers (1 or greater).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between driven and driver gear?
A: The driver gear is connected to the power source and drives the driven gear, which is connected to the output.

Q2: How does gear ratio affect speed?
A: Output speed = Input speed / Gear ratio. Higher gear ratio means lower output speed but higher torque.

Q3: What's a typical gear ratio range?
A: Common ratios range from 1:1 to 10:1 for single gear pairs, with higher ratios achieved through multiple gear stages.

Q4: Can gear ratio be less than 1?
A: Yes, this indicates the output gear rotates faster than the input gear (speed increase configuration).

Q5: How does gear ratio relate to mechanical advantage?
A: Mechanical advantage is directly proportional to the gear ratio - higher ratio means greater torque multiplication.

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