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Calculating Transmission Gear Ratio

Transmission Gear Ratio Formula:

\[ \text{ratio} = \frac{N_{\text{output}}}{N_{\text{input}}} \]

rpm
rpm

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1. What is Transmission Gear Ratio?

The transmission gear ratio is the ratio of the output speed to the input speed in a gear system. It determines how much the input speed is changed by the transmission system.

2. How Does the Calculator Work?

The calculator uses the gear ratio equation:

\[ \text{ratio} = \frac{N_{\text{output}}}{N_{\text{input}}} \]

Where:

Explanation: The ratio shows how many times the output shaft rotates for each rotation of the input shaft.

3. Importance of Gear Ratio Calculation

Details: Gear ratio is crucial for designing mechanical systems, determining torque multiplication, and optimizing performance in vehicles and machinery.

4. Using the Calculator

Tips: Enter both input and output speeds in rpm (revolutions per minute). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What does a gear ratio greater than 1 mean?
A: A ratio > 1 means the output shaft rotates faster than the input shaft (speed increase).

Q2: What does a gear ratio less than 1 mean?
A: A ratio < 1 means the output shaft rotates slower than the input shaft (speed reduction, torque increase).

Q3: How is gear ratio related to torque?
A: Torque is inversely proportional to speed in an ideal system. Lower gear ratio (speed reduction) means higher torque output.

Q4: What are typical gear ratios in vehicles?
A: Cars typically have gear ratios between 2:1 and 5:1 in lower gears, approaching 1:1 in higher gears.

Q5: Can gear ratio be less than 0?
A: Negative ratios indicate direction reversal, but this calculator only handles magnitude (positive values).

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