How To Calculate Reduction Ratio And Torque?

1. Definition of reduction ratio:

The reducer is generally used for low-speed and high-torque transmission equipment. The motor, internal combustion engine or other high-speed running power is used to achieve the purpose of deceleration through the gear with a small number of teeth on the input shaft of the reducer and the large gear on the output shaft. The reducer will also have several pairs of gears with the same principle to achieve the ideal reduction effect. The ratio of the number of teeth of the large and small gears is the reduction ratio, also called the transmission ratio (referred to as ""speed ratio"").

A series morm reducer

2. Calculation method of reduction ratio

1. Define the calculation method: reduction ratio = input speed ÷ output speed.

2. General calculation method: reduction ratio = operating torque ÷ 9550 ÷ motor power × motor power input revolutions ÷ use coefficient.

3. Gear system calculation method: reduction ratio = number of driven gear teeth ÷ number of driving gear teeth (if it is a multi-stage gear reduction, then the number of driven gear teeth of all meshing pairs of gear sets ÷ the number of driving gear teeth, and then the result will be obtained Just multiply.

4. Calculation method of reduction ratio of belts, chains and friction wheels: reduction ratio = driven wheel diameter ÷ driving wheel diameter.


3. The concept of motor torque:

 motor torque is the output torque of the motor, which is one of the basic parameters of the motor. The unit is N.M (Niu. Meter).


4. The relationship between motor output torque and motor speed and power

1. Formula: T=9550P/n This formula is commonly used in engineering: torque; power; speed. In the formula: T--torque; 9550--constant (no need to investigate its source); P--motor power (KW); n--output speed (rev/min)

Note: It should be noted that if the torque is calculated by the reducer, the factor of gear transmission efficiency loss should be considered.

2.Servo motor torque calculation formula: T=F*R* reduction ratio.


5. the torque calculation formula of the reducer

1.Speed ratio speed ratio = motor output revolutions ÷ reducer output revolutions ('speed ratio' is also called'transmission ratio') 

2.2. Know the motor power, speed ratio and use coefficient, and find the torque of the reducer as follows:

Reducer torque = 9550 × motor power ÷ motor power input revolution × speed ratio × use coefficient

3. Know the torque and the output speed of the reducer and the use coefficient, and find the motor power required by the reducer as follows:

Motor power = torque ÷ 9550 × motor power input revolutions ÷ speed ratio ÷ use coefficient.

CAMEL is a professional supplier,distributor and manufacturer of speed reducers and related accesories. including gear reducers, rotary reducer, worm gearbox, servo-gearbox, planetary gearboxes, planetary gear reducer helical gear reducers, planetary gearbox, right angle gear reducer, gear reduction, gear motors, electrical motors, DC motors, DC gear motor, dc gearedmotors, AC gear motor, AC motors, servo motors, ac servo motor, dc servo motor, servomotor, bearings, gears, spur gear, helical gear, bevel gear, worm gear, planetary gear, couplings, oil seals, belts, chains, etc. If you have any need, please feel free to contact CAMEL:

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