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Use this free Motor Gearbox Ratio Calculator to calculate gearbox ratio accurately using speed or gear teeth. Simple, fast, and reliable results.
Choosing the right gearbox ratio is one of the most important steps when working with motors. A wrong ratio can cause low torque, overheating, or poor performance. That is why we developed this Motor Gearbox Ratio Calculator. It helps users calculate the exact gearbox ratio in seconds without confusion or complex math.
This online calculator is designed for beginners, students, technicians, and engineers. It works using standard engineering formulas and gives reliable results every time.
A motor gearbox ratio tells you how many times the motor shaft rotates to make the gearbox output shaft rotate once. It controls two critical things: speed and torque.
When the gearbox ratio increases, output speed decreases, but torque increases. When the ratio decreases, speed increases, but torque reduces. That balance is why calculating the correct gearbox ratio is essential.
The motor gearbox ratio is calculated using two universally accepted formulas. These formulas are used in mechanical and electrical engineering worldwide.
Speed-Based Gearbox Ratio Formula
Motor Gearbox Ratio = Motor Input Speed ÷ Gearbox Output Speed
This formula is used when motor speed and required output speed are known.
Example format
Gear Ratio = Motor RPM / Output RPM
Gear Teeth-Based Gearbox Ratio Formula
Motor Gearbox Ratio = Driven Gear Teeth ÷ Driving Gear Teeth
This formula is used when you know the number of teeth on both gears.
Example format
Gear Ratio = Output Gear Teeth / Motor Gear Teeth
Both formulas produce the same result when applied correctly.
To calculate a gearbox ratio manually, first decide what data you have. If you know the motor speed and the desired output speed, use the speed-based formula. If you know the number of gear teeth, use the teeth-based formula.
You divide the motor input value by the output value. The result is always written in ratio form, such as 10:1 or 25:1.
A higher number means more torque and lower speed. A lower number means higher speed and less torque.
To find the right gear ratio, you must know three things: motor speed, required output speed, and required torque.
If your application needs high torque, choose a higher gearbox ratio. If it needs high speed, choose a lower ratio. Our motor gearbox ratio calculator helps you test different values instantly so you can choose the perfect ratio without trial and error.
Using our calculator is simple and fast.
If you enter motor torque and efficiency, it also calculates output torque.
Let’s say a motor runs at 3000 RPM and the required output speed is 150 RPM.
Motor Gearbox Ratio = Motor Speed ÷ Output Speed
Motor Gearbox Ratio = 3000 ÷ 150
Motor Gearbox Ratio = 20
Final Answer: The required gearbox ratio is 20:1.
This means the motor rotates 20 times to produce one output shaft rotation.
Our calculator is built using accurate engineering formulas. It supports multiple units, shows detailed steps, verifies results, and avoids calculation errors.
It is ideal for motor selection, gearbox design, robotics, CNC machines, electric vehicles, and industrial automation.
The calculator saves time, improves accuracy, and removes guesswork.
The Motor Gearbox Ratio Calculator is the easiest and most reliable way to calculate gearbox ratios online. Whether you are working on a small DIY project or an industrial system, this tool gives you fast and accurate results.
Instead of doing manual calculations, use our calculator to select the correct gearbox ratio with confidence.
You calculate gearbox ratio by dividing motor input speed by output speed or by dividing driven gear teeth by driving gear teeth.
A good gearbox ratio depends on your application. High torque applications need higher ratios, while high-speed applications need lower ratios.
Yes, increasing the gearbox ratio increases output torque while reducing speed.
Yes, it uses standard engineering formulas and precise unit conversions to ensure accurate results.
Yes, the calculator works for DC motors, AC motors, stepper motors, and servo motors.