Home
Back
Gear Ratio Formula:
| From: | To: |
Gear ratio is the ratio of the number of teeth on two meshing gears. It determines the mechanical advantage and speed relationship between the driving gear and the driven gear in a gear system.
The calculator uses the gear ratio formula:
Where:
Explanation: The ratio shows how many times the driven gear rotates for each rotation of the driving gear. A ratio greater than 1 indicates speed reduction and torque increase, while a ratio less than 1 indicates speed increase and torque reduction.
Details: Calculating gear ratio is essential for designing mechanical systems, determining torque requirements, optimizing speed outputs, and ensuring proper gear meshing in various applications from automotive transmissions to industrial machinery.
Tips: Enter the number of teeth on both the driven and driver gears. Values must be positive integers greater than zero for accurate calculation.
Q1: What does a gear ratio of 2:1 mean?
A: A 2:1 ratio means the driven gear rotates once for every two rotations of the driving gear, providing speed reduction and torque multiplication.
Q2: Can gear ratio be less than 1?
A: Yes, a ratio less than 1 indicates an overdrive situation where the driven gear rotates faster than the driving gear, increasing speed but reducing torque.
Q3: How does gear ratio affect mechanical advantage?
A: Higher gear ratios provide greater mechanical advantage (torque multiplication) but reduce output speed, while lower ratios increase speed but reduce torque.
Q4: Is gear ratio the same as velocity ratio?
A: For ideal gears without slip, the gear ratio equals the velocity ratio, representing the relationship between input and output speeds.
Q5: How do I calculate compound gear ratios?
A: For compound gear systems, multiply the individual ratios of each gear pair to get the overall ratio of the system.