Checking a component for a lathe slideway for straightness

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SUMMARY

The discussion focuses on the methodology for checking the straightness of a lathe slideway component using an autocollimator and a reflector carriage with a base length of approximately 100 mm. Participants are tasked with recording autocollimator readings, completing a table on Worksheet 1, and plotting a graph of deviation from the straight line between endpoints A and B. Additionally, they must determine the maximum deviation and cumulative error, and assess the suitability of the machine tool against a specification of 0.018 mm/m.

PREREQUISITES
  • Understanding of autocollimator operation and measurement techniques
  • Familiarity with reflector carriage mechanics and setup
  • Knowledge of error analysis and deviation calculations
  • Basic graph plotting skills for data visualization
NEXT STEPS
  • Research autocollimator calibration techniques for precision measurement
  • Learn about error propagation in mechanical measurements
  • Study graphing methods for visualizing measurement deviations
  • Explore machine tool specifications and their impact on performance
USEFUL FOR

Mechanical engineers, quality control technicians, and anyone involved in precision machining and measurement verification will benefit from this discussion.

Urika
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Homework Statement
MANUFACTURE & MATERIALS
Relevant Equations
None
SCREENSHOT OF FIGURE ATTACHED!

A component for a lathe slideway was checked for straightness by means of an autocollimator and a reflector carriage whose base length is approximately 100 mm.The instruments were arranged as depicted in Figure 1. The reading at each position, starting at end A, was recorded and the reflector carriage was moved along the component in increments equal to the base length after each reading was taken.i) The autocollimator readings obtained by this procedure are given on Worksheet 1. Describe the methodology for obtaining these readings.

ii) Complete the table on Worksheet 1 and plot the graph of deviation from the straight line joining the end points, A and B.

iii) Determine the maximum deviation from the straight line joining these end points, and the maximum cumulative error.
iii) If the machine tool specification on the longitudinal level is equal to 0.018 mm/m, comment on how the results from the autocollimator will have on the suitability of the machine tool.https://www.physicsforums.com/attachments/274451
Screenshot 2020-12-16 at 5.15.08 AM.png
Screenshot 2020-12-16 at 5.15.17 AM.png
https://www.physicsforums.com/attachments/274451
 
Last edited:
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Welcome to PhysicsForums.

It looks like you still need to fill in the table and show your calculations. Can you do that so we can check your work? Thanks.
 
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berkeman said:
Welcome to PhysicsForums.

It looks like you still need to fill in the table and show your calculations. Can you do that so we can check your work? Thanks.

I need help on how to go about it. Please explain me a bit, I'll do it and then you can check.
 
SCREENSHOT OF FIGURE ATTACHED! Pls help me I am very confused

A component for a lathe slideway was checked for straightness by means of an autocollimator and a reflector carriage whose base length is approximately 100 mm.The instruments were arranged as depicted in Figure 1. The reading at each position, starting at end A, was recorded and the reflector carriage was moved along the component in increments equal to the base length after each reading was taken.i) The autocollimator readings obtained by this procedure are given on Worksheet 1. Describe the methodology for obtaining these readings.

ii) Complete the table on Worksheet 1 and plot the graph of deviation from the straight line joining the end points, A and B.

iii) Determine the maximum deviation from the straight line joining these end points, and the maximum cumulative error.
iii) If the machine tool specification on the longitudinal level is equal to 0.018 mm/m, comment on how the results from the autocollimator will have on the suitability of the machine tool..
Screenshot 2020-12-16 at 11.21.13 PM.png
Screenshot 2020-12-16 at 11.21.27 PM.png
 
Solution attached!
28506c89-0e44-47ae-805b-086aeaf1513c.jpeg
 
Solution attached
28506c89-0e44-47ae-805b-086aeaf1513c.jpeg
 
That looks to me like a partly-cropped snapshot of something pre-printed ##-## can you please, as @berkeman advised, provide the table that you showed in post #1, but with the empty cells filled in, and with model or sample expressions for the basis for how a result in a cell of a given type was obtained. Forum rules require that we see a reasonable attempt from you at your own solution, before we can say much about our specfic ideas about how we would get to a correct solution. You can click on the 'Terms' link on the footer of any page to read the PF policy on homework help.
 
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