Gear Ratio Formula:
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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.
The calculator uses the gear ratio formula:
Where:
Explanation: The gear ratio shows how many times the driven gear rotates for each rotation of the driver gear. A ratio greater than 1 indicates speed reduction and torque multiplication, while a ratio less than 1 indicates speed increase and torque reduction.
Details: Gear ratios are crucial in vehicle transmission systems, machinery, and any mechanical system involving gears. They determine the relationship between input and output speed and torque.
Tips: Enter the number of teeth for both the driven and driver gears. Both values must be positive integers (minimum 1 tooth).
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: What does a gear ratio of 3:1 mean?
A: It means the driven gear rotates once for every three rotations of the driver gear, providing torque multiplication and speed reduction.
Q3: How does gear ratio affect vehicle performance?
A: Lower ratios provide better acceleration (more torque), while higher ratios provide better fuel efficiency at cruising speeds.
Q4: Can gear ratio be less than 1?
A: Yes, this indicates an overdrive situation where the output rotates faster than the input, common in high gear for fuel efficiency.
Q5: How is gear ratio related to speed?
A: The output speed is the input speed divided by the gear ratio. Higher ratios mean lower output speeds but higher torque.