Calculation of gear reduction motor reduction ratio and torque

The reduction ratio refers to the transmission ratio of a reduction motor, which is a type of transmission ratio. It indicates the ratio of the instantaneous input speed to the output speed in the gear reduction motor's reduction mechanism, represented by the symbol "i".


  1. Concept of Reduction Ratio: that isReduction Motor'sTransmission Ratio, which is a type of transmission ratio, refers to the ratio of instantaneous input speed to output speed in the gear reduction motor's reduction mechanism, represented by the symbol "i".

  For example, if the input speed is 1500r/min and the output speed is 25r/min, then the reduction ratio is: i=60:1. Generally, the reduction ratio marked on gear reduction motors is the actual reduction ratio, but some special reducers like cycloidal reducers or harmonic reducers sometimes use rounding to an integer and do not include the denominator, such as the actual reduction ratio being 28.13, but it is generally marked as 28.

Reduction Motor

  2. Calculation Method of Reduction Ratio

  1. Definition Calculation Method: Reduction Ratio = Input Speed ÷ Output Speed.

  2. General Calculation Method: Reduction Ratio = Using Torque ÷ 9550 ÷ Motor Power × Motor Power Input Speed ÷ Usage Coefficient.

  3. Calculation Method for Gear Reduction Motor Gear System: Reduction Ratio = Driven Gear Teeth ÷ Driving Gear Teeth (if it is a multi-stage gear reduction, then take the driven gear teeth ÷ driving gear teeth for all engaged pairs of gears, and then multiply the results obtained).

  4. Calculation Method for Belt, Chain, and Friction Wheel Reduction Ratio: Reduction Ratio = Driven Wheel Diameter ÷ Driving Wheel Diameter.

  3. Concept of Motor Torque: Motor torque refers to the output torque of the motor, which is one of the basic parameters of the motor. The unit is N.M (Newton meter).

  4. Relationship between Motor Output Torque, Motor Speed, and Power.

  1. Formula: T=9550P/n This formula is commonly used in engineering: the calculation formula for the relationship among torque, power, and speed. In the formula: T--Torque; 9550--Constant (no need to pursue its source); P--Motor Power (KW); n--Output Speed (r/min) Note: It is important to consider the efficiency loss of gear transmission when calculating torque through the reducer.

  2. Servo Motor Torque Calculation Formula: T=F*R*Reduction Ratio. Example: To drive a 100kg object, R=50mm, and the reduction ratio is: 1:50, what is the torque of the servo motor? Answer: 100x9.8 (gravitational acceleration)x0.05x0.02=1.98N.M

  5. Reduction Gear Torque Calculation Formula

  1. Speed Ratio: Speed Ratio = Motor Output Speed ÷ Reducer Output Speed ("Speed Ratio" is also called "Transmission Ratio")

  2. Knowing the motor power, speed ratio, and usage coefficient, the reducer torque can be calculated using the following formula: Reduction Motor Torque = 9550×Motor Power ÷ Motor Power Input Speed × Speed Ratio × Usage Coefficient.

  3. Knowing the torque, reducer output speed, and usage coefficient, the required motor power for the gear reduction motor can be calculated using the following formula: Motor Power = Torque ÷ 9550 × Motor Power Input Speed ÷ Speed Ratio ÷ Usage Coefficient Reduction Gear Torque Calculation Formula Speed Ratio = Motor Output Speed ÷ Reducer Output Speed ("Speed Ratio" is also called "Transmission Ratio") 1. Knowing the motor power, speed ratio, and usage coefficient, the reducer torque can be calculated using the following formula: Reduction Gear Torque = 9550×Motor Power ÷ Motor Power Input Speed × Speed Ratio × Usage Coefficient 2. Knowing the torque, reducer output speed, and usage coefficient, the required motor power for the reducer can be calculated using the following formula: Motor Power = Torque ÷ 9550 × Motor Power Input Speed ÷ Speed Ratio ÷ Usage Coefficient.

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Introduction to Micro DC Gear Motors   Micro DC gear motors are a miniaturized motor system, typically consisting of a DC motor and a gearbox. Here are some related introductions to micro DC gear motors:   DC Motor Section: Working Principle: The DC motor generates current by moving a conductive coil in a magnetic field, thus producing electromagnetic force to drive the motor's rotation. Structure: Micro DC motors usually adopt a separate structure, including an armature (rotating part) and an electromagnet (stator part). Types: Common types of DC motors include brushed DC motors and brushless DC motors. Brushed DC motors use brushes to connect to the armature, while brushless DC motors control current through an electronic speed controller, eliminating the need for brushes.   Gearbox Section: Function: The gearbox is used to slow down the motor's output speed while increasing torque. This is crucial for applications requiring higher torque and lower speeds, such as robotic arms and camera gimbals. Structure: Gearboxes typically consist of gears that achieve the reduction ratio through different gear combinations. The reduction ratio is the ratio of input speed to output speed. Types: Common types of gearboxes include planetary gears, worm gears, and helical gears. Different types of gearboxes are suitable for different application scenarios.   Applications: Micro DC gear motors are widely used in various fields, including consumer electronics (such as cameras and printers), medical devices, robotics, and automotive electronics. In these applications, micro DC gear motors are typically used to control precise movements, provide sufficient torque, and achieve efficient performance in limited spaces.   Control and Drive: Micro DC gear motors usually require corresponding electronic speed controllers or controllers to precisely control rotation speed and direction. The control system can adjust the motor's output according to application needs, achieving precise position control and speed regulation.   Performance Parameters: The performance parameters of micro DC gear motors include rated voltage, rated speed, rated torque, efficiency, etc. These parameters are crucial for selecting and designing motor systems.   In summary, micro DC gear motors have been widely applied under the trends of miniaturization, precision, and efficiency, providing reliable driving force for many electric devices and systems.