Relationship between motor reduction ratio and torque

Motor reduction ratio, torque

1. Concept of reduction ratio: the transmission ratio of the reduction device, which is a kind of transmission ratio, refers to the ratio of the instantaneous input speed to the output speed in the reduction mechanism, represented by the symbol "i". If the input speed is 1500r/min and the output speed is 25r/min, then the reduction ratio is: i=60:1. The reduction ratio of general reduction mechanisms is marked as the actual reduction ratio, but some special reducers such as cycloid reducers or harmonic reducers are sometimes rounded up and the denominator is not required. For example, the actual reduction ratio may be 28.13, but it is generally marked as 28 when marked.

2. Calculation method of reduction ratio

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

2. General calculation method: reduction ratio = torque used ÷ 9550 ÷ motor power × motor power input speed ÷ usage coefficient.

3. Gear system calculation method: Reduction ratio = number of teeth on driven gear ÷ number of teeth on driving gear (if it is multi-stage gear reduction, then divide the number of teeth on driven gear of all meshing gear sets by the number of teeth on driving gear, and then multiply the results.

4. Belt, chain and friction wheel reduction ratio calculation method: Reduction ratio = diameter of driven wheel ÷ diameter of driving wheel.

3. 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 (Newton meter).

4. Relationship between motor output torque and motor speed and power.

1. Formula: T=9550P/n This formula is commonly used in engineering to calculate the relationship between torque, power and speed.

Where: T--torque; 9550--constant (no need to investigate its source); P--motor power (KW); n--output speed (rpm)

Note: It should be noted that when calculating torque through a reducer, the factor of gear transmission efficiency loss should be considered.

2. Servo motor torque calculation formula: T=F*R*reduction ratio. Example: driving an object of 100kg, R=50mm, reduction ratio: 1:50, what is the torque of the servo motor? Answer: 100x9.8 (gravitational acceleration) x0.05x0.02=1.98N.M

V. Reducer 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, calculate the reducer torque as follows:

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

3. Knowing the torque and reducer output speed and usage coefficient, calculate the motor power required for the reducer as follows:

Motor power = torque ÷ 9550 × motor power input speed ÷ speed ratio ÷ usage coefficient