Transmission Gear Ratio Formula:
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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.
The calculator uses the gear ratio equation:
Where:
Explanation: The ratio shows how many times the output shaft rotates for each rotation of the input shaft.
Details: Gear ratio is crucial for designing mechanical systems, determining torque multiplication, and optimizing performance in vehicles and machinery.
Tips: Enter both input and output speeds in rpm (revolutions per minute). Both values must be positive numbers.
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).