DC motors are continuous and can run for a very long time before they get too hot or wear the brushes out.
The rotation of the DC motor is accomplished by the force which is developed on a current-carrying conductor in a magnetic field.
The current-carrying conductor is connected to the shaft which is able to rotate relative to the stationary body of the DC motor.
You can run a DC motor continuous as long as it has enough power to the motor and as long as it does not overheat and until the brushes wear out.
Although it's not recommended to run a DC motor longer than a few hours or so at a time but they can run longer.
A 12v DC motor can run continuously 24/7 until the brushes wear out as long as the motor is not overloaded or doesn't get too hot.
A brushless motor can run 24 hours continuously as long as it's continuously rated although if it has a thermal shut down switch then the motor will shut down if the motor gets too hot.
If it does it usually takes longer than 10 hours and then the motor shuts down and has to cool off before it can be turned back on.
An electric motor can run for 24 hours a day 7 days per week as long as it's a continuous duty electric motor.
If it's not a continuous duty electric motor then it may only run for 10 hours or 24 hours before it gets too hot and needs to shut down.
An electric motor can work for 24 hours if the electric motor is a continuous duty electric motor.
If the electric motor gets too hot then it will shut off before it actually overheats due to a thermally protected motor switch.
So the electric motor can stay on for as long as it stays cool enough before it shuts off.
Some electric motors are rated to run continuous and can run 24/7 without shutting off for a very long time.
And then some motors may need to shut off after a 10 to 14 hours to cool down.
For DC motors they will usually overheat if left running longer than 15 hours or so and the brushes will wear out for a brush type DC motor.
But as for an AC electric motor that is brushless it will run and run until it either gets too hot or until the bearings wear out.
The bearings in an AC electric motor will most often wear out eventually after several months or years of continuous running.
But the motor itself is basically just a magnet that uses the electricity to turn the rotor and as long as power is supplied the motor can run and run and run.