What is the relationship between torque and speed?

[EmilianoMarie]

Speed and torque are inversely proportional, while power is directly proportional to both speed and torque. For example: T=9550*P/n. Here, P represents the motor's rated (output) power in kilowatts (KW); the denominator n is the rated speed in revolutions per minute (r/min); and T is the rated torque. Additional information: 1. For the motor itself, motors with the same rated power will have smaller sizes, lighter weights, and lower costs when their rated speeds are higher. Therefore, choosing a high-speed motor is more economical. 2. However, since production machinery has specific speed requirements, a higher motor speed leads to a larger transmission ratio in the drive mechanism, resulting in more complex transmission systems and reduced transmission efficiency. Thus, when selecting a motor's rated speed, both the motor and the drive mechanism must be considered.