Engineering Trying to find the appropriate motor for a sliding door .Please help

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    Motor Sliding
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The discussion focuses on selecting the right motor for a sliding door system weighing 80kg, requiring mechanical calculations for motor torque and force. The total weight supported by the track is 1568 Newtons, leading to a calculated force of 1.5696 Newtons needed for the belt to move the door. The torque required is approximately 0.047088 Newton-metres, while most available motors exceed 1 Newton-metre of torque but operate at high RPMs. The user questions the accuracy of their calculations and whether it is acceptable to use a motor with significantly higher torque than needed. The conversation highlights the importance of understanding gear ratios to adjust RPM while ensuring sufficient torque for the sliding door mechanism.
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My assignment is to create a sliding door with working motor,mechanical and structure calculations. However I keep having trouble when finding the appropriate motor for the sliding door movement. The doors are both 80kg (Which is 784 Newtons). The entire weight is taken is supported by the track with steel wheels that is connected to a steel rail (to prevent the pulling of the driving belt, altogether it is 1568 Newtons for the doors). this the rolling co-efficient of the steel wheels to steel rails is around 0.001.

So the force needed for the belt to pull the door is

F.c = (1568 x 0.001)=1.5696N

The diameter of the belt pulley is 3 cm so the torque needed is

Torque=force x radius = 1.5696 x 0.03 =0.047088 (N/m)Newton-metres.

Nearly all the motors I have found are over 1 (N/m) of torque but very high rpm (which I need to convert to a lower rpm which , if achieved by gear ratios ,increases the torque further. What should I do? Are my calculations wrong. is the rolling coefficient unrealisic? and is all is correct is okay to ignore a torque that is far more than that required?
 
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