Gear Ratio Formula:
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Definition: This calculator determines the gear ratio based on the input and output rotational speeds.
Purpose: It helps mechanical engineers, automotive technicians, and DIY enthusiasts understand the relationship between input and output speeds in gear systems.
The calculator uses the formula:
Where:
Explanation: The gear ratio is calculated by dividing the input speed by the output speed, showing how many times the input shaft must rotate to make the output shaft rotate once.
Details: Proper gear ratio calculation is essential for designing efficient power transmission systems, optimizing vehicle performance, and ensuring proper torque/speed conversion.
Tips: Enter the input and output speeds in revolutions per minute (rpm). Both values must be greater than 0.
Q1: What does a gear ratio of 3:1 mean?
A: It means the input shaft rotates 3 times for every 1 rotation of the output shaft, resulting in reduced output speed but increased torque.
Q2: How does gear ratio affect speed and torque?
A: Higher gear ratios decrease output speed but increase torque, while lower ratios increase speed but decrease torque.
Q3: What's a typical gear ratio for automotive applications?
A: Final drive ratios typically range from 2.5:1 to 4.5:1, depending on vehicle type and purpose.
Q4: Can gear ratio be less than 1?
A: Yes, a ratio less than 1 indicates an overdrive situation where output speed exceeds input speed.
Q5: How is this different from gear ratio based on teeth count?
A: The speed-based ratio should match the teeth count ratio (N2/N1) in an ideal system, but real-world factors like slippage may cause slight differences.