Difference between the speed and the torque of a motor?

Speed is a measure of how far something travels in a given period of time. The rate of change in position. For a motor, speed is measured in revolutions per minute.

Torque is force exerted as an object rotates. To turn a motor shaft requires a certain amount of torque. If a load is added to the shaft, more torque is required to turn it.

Example:

1. Two motors of different sizes may run at the same speed. A shaded-pole motor (example: window fan) exerts very little torque. A common speed is 1800 or 1200 RPM.

2. A large industrial motor (example; factory conveyor belt) may exert a very high torque in order to start a heavy load, and yet it runs at a similar speed.

Another example: The same is true of engines. An eight cylinder car engine can run at 3600 RPM and exert a great amount of torque. A small generator will run at 3600 RPM, but not exert nearly as much torque as the car.

In General, I put the above in simple and easy words like
Speed is the rotational rate of a motor.
Torque is the amount of force it can apply at a given distance.
usually the specification would be so much torque can be developed at some rotational  speed.

The torque can be increased by slowing down the motor using some force multipling means as a gearbox or a belt and pulley system. Likewise the torque can be decreased by speeding up the motor the same way (gearbox or pulleys).

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