Power to drive rollers in a machine

AI Thread Summary
The discussion focuses on calculating the power required to drive rollers in a machine for nail production using Mathcad. The initial calculations are uncertain, and the user seeks confirmation on their accuracy before creating a template for further calculations. There is a significant emphasis on the energy required for processes like straightening, heading, and pointing nails, which involves plastic deformation of the wire stock. Additionally, clarification is needed on whether the wire is cut on the fly or if it stops for each nail, as this impacts power requirements. Understanding these factors is crucial for accurate power calculations in the machine design.
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Homework Statement
(Part 1) Calculate the Power needed to drive the rollers in the nail making machine
Relevant Equations
Tried to solve it through moment of inertia of the roller and angular acceleration to get torque and from there calculate the power to drive one of the rollers in the first position, by multiplying the Torque with the angular speed, counting in some losses and multiplying by the number of such rollers in the first position of the nail making machine.
Hi,

I've attempted to solve the first part (see file Position 1) in mathcad, but have no idea if it's correct, at least for the first part, as I am assuming, that the steps will be the same for the rollers in the remaining positions. So if I can manage to calculate the first one correctly, I can set up a template in Mathcad to calculate the rest easily.

My teacher isn't responding to my emails so I need some help, please .

Thank you
 

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Doesn't deformation of the wire stock to make the nails add significantly to the power? It seems that your approach is the power to spin the machine with no nails being made.
 
Straightening, heading, and pointing the nail each require plastic work (energy converted to heat) on each nail. You have to take all of this into account.

Also, so the wire start and stop for each nail to be cut off, or are they cut on the fly? The latter I would expect, but this needs to be made clear.
 
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