Gear Ratio Formula:
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Definition: This calculator determines the gear ratio (GR) between two gears based on their teeth count or rotational speeds.
Purpose: It helps mechanical engineers, automotive technicians, and hobbyists understand the relationship between connected gears.
The calculator uses the formula:
Where:
Explanation: The ratio compares the driven component to the driving component, showing how many times the driver must rotate to turn the driven gear once.
Details: Proper gear ratio calculation ensures optimal torque and speed transmission in mechanical systems, affecting performance and efficiency.
Tips: Enter either the number of teeth for both gears or their rotational speeds. Both values must be > 0.
Q1: What does a gear ratio of 3:1 mean?
A: It means the driver gear must rotate 3 times to turn the driven gear once, increasing torque but reducing speed.
Q2: Can I use RPM values instead of tooth counts?
A: Yes, the formula works the same way with rotational speeds as it does with tooth counts.
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: How does gear ratio affect torque and speed?
A: Higher ratios increase torque but decrease output speed, while lower ratios do the opposite.
Q5: What's the difference between gear ratio and transmission ratio?
A: Gear ratio refers to a single pair of gears, while transmission ratio is the overall ratio through multiple gear pairs.