Gear Ratio Calculator
Quickly calculate the gear ratio between two gears. Enter the number of teeth for each gear to find the ratio.
Enter Gear Teeth
Input the number of teeth for each gear to calculate the gear ratio.
Gear Ratio:
This ratio indicates that for every rotation of Gear 1, Gear 2 rotates times.
Gear Visualization
Gear 1
Gear 2
*Gear sizes are proportional to the number of teeth for visual representation.
Understanding Gear Ratio
Gear ratio is a fundamental concept in mechanics that describes the relationship between two or more gears in a gear train. It is defined as the ratio of the number of teeth on two meshing gears. Specifically, it's usually calculated as the ratio of the number of teeth of the driven gear (output gear) to the number of teeth of the driving gear (input gear), or equivalently, the ratio of the angular velocity of the driving gear to the angular velocity of the driven gear.
A gear ratio greater than 1 indicates speed reduction and torque multiplication, often used in scenarios requiring more power at a lower speed. Conversely, a gear ratio less than 1 indicates speed increase and torque reduction, suitable for applications needing higher speed with less force.
Understanding gear ratios is crucial in designing mechanical systems, from simple machines to complex automotive transmissions and industrial equipment. It helps engineers to optimize speed, torque, and power transmission in various applications.
- Driving Gear (Gear 1): The gear that applies force to the system.
- Driven Gear (Gear 2): The gear that receives force and is moved by the driving gear.
- Gear Ratio Formula: Ratio = Teeth on Gear 1 / Teeth on Gear 2