Find the force while lapping a specimen

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Homework Help Overview

The discussion revolves around determining the force acting on a specimen during a lapping process, specifically in the context of metallographic grinding. Participants explore the mechanics involved, including the role of normal force and friction in relation to torque and the setup of the lapping wheel.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the distribution of normal force across the specimen and its implications for torque calculations. Questions arise about the specimen's stability during the lapping process and the materials involved, such as the slurry and the specimen composition. There is also a consideration of the forces acting on the holder used to secure the specimen.

Discussion Status

Some participants have provided mathematical insights into calculating torque based on the normal force and friction, while others express confusion about the relevance of torque if the specimen does not spin. The conversation reflects a mix of interpretations and attempts to clarify the problem context.

Contextual Notes

Participants mention specific constraints such as the specimen being held against the disk wheel and the use of a holder instead of hands. There is also a reference to the type of grinding process being employed, which may influence the forces at play.

blueboo33
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Homework Statement
I would like to find the force that acting on my round plate that holds my specimen. which pressed with force 100 N, to push specimen lapping with the lapping wheel at 500rpm. and while lapping the force is acting on the round plate.
Relevant Equations
if I use equation F=uN is that right or I should add anything else please help me
1574708652021.png
 
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Welcome to the PF. :smile:

You show your specimen in the center of the Lapping Wheel. Does it stay there during the lapping process?

Are you using a slurry? What is it made of?

https://en.wikipedia.org/wiki/Lapping

1574710315062.png
 
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I assume you mean you are trying to find the torque. The rotation rate is not relevant.
Presumably the normal force, F= 100N, is uniformly spread across the whole area A.
Consider a small area element rdrdθ at radius r. The normal force is ##\frac 1AFrdrd\theta##, so the tangential frictional force is ##\frac 1A\mu Frdrd\theta##.
To get the torque this exerts around the rotation axis, we multiply by r: ##\frac 1A\mu Fr^2drd\theta##.
To get the total torque integrate this over the area of contact.
 
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berkeman said:
Welcome to the PF. :smile:

You show your specimen in the center of the Lapping Wheel. Does it stay there during the lapping process?

Are you using a slurry? What is it made of?

https://en.wikipedia.org/wiki/Lapping

View attachment 253314
Thank you for replying to me.:biggrin:
No, it's the metallographic grinding.
the specimen held against the disk wheel.
the specimen made from resin.

1574732376340.png

(https://www.kemet.co.uk/blog/metallography/metallographic-polishing-and-grinding)
but I will use the holder to hold instead hands I just wonder the force that acting on the holder.
and its the bearing force right.
1574732355873.png

(https://www.metallographic.com/Metallographic-Equipment/Metallography-Single-vs-Central-Force.html)
 
haruspex said:
I assume you mean you are trying to find the torque. The rotation rate is not relevant.
Presumably the normal force, F= 100N, is uniformly spread across the whole area A.
Consider a small area element rdrdθ at radius r. The normal force is ##\frac 1AFrdrd\theta##, so the tangential frictional force is ##\frac 1A\mu Frdrd\theta##.
To get the torque this exerts around the rotation axis, we multiply by r: ##\frac 1A\mu Fr^2drd\theta##.
To get the total torque integrate this over the area of contact.
thank you for replying to me :biggrin:
 
blueboo33 said:
thank you for replying to me :biggrin:
If I don't want to find the torque. the specimen, not spin. what should I do :cry:
 
blueboo33 said:
If I don't want to find the torque. the specimen, not spin. what should I do :cry:
I don’t understand. If not the torque, what?
 

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