Estimating torque conveyor belt

AI Thread Summary
To estimate the torque required for a conveyor belt, it's essential to consider the weight of the objects on the belt, their friction coefficients, and the friction between the belt and the drum. Static friction is not a concern since it does not absorb work done. The primary factors affecting torque include the flexing and stretching of the belt and resistance in the drum axles, especially when objects transition between drums. Additionally, friction between the belt and the steel table beneath it adds complexity, as this force is proportional to the weight of the objects. Understanding these dynamics is crucial for accurately calculating the torque needed to turn the drum.
maxtor101
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Hi all, was wondering could anyone give me a hand with this calculation.

So basically I want to estimate the torque required to turn a conveyor belt. I have drawn a diagram of what it looks like. I know the weight of the objects on the belt and their respective friction coefficients. Also the friction coefficient for the drum against the belt.

Thanks
 

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Static friction between the objects and the belt and between the belt and the drums is not the issue. These do not absorb any of the work done. With no other resistance, the torque needed to achieve movement would be vanishingly small.
The relevant questions are the flexing/stretching of the belt and resistance in the drum axles. E.g. as an object approaches the second drum it travels slightly uphill. This may be partly compensated by another object having just passed over the first drum, traveling slightly downhill.
 
Apologies, I forgot to include in the diagram that there is a steel table under the belt, on which the items sit. So there would be friction between the belt and this table, and it's resulting force will be proportional to the weight of the objects.
How would I equate all this to the torque required to turn the drum?
 

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