Different metals have different CS recommendations.  For this question you are considering brass which has a recommended CS of 60.  The pieces to be machined range in size from 20mm to 55mm.   You have been asked to determine the 8 spindle speeds given a CS value for brass for the different diameters. These speeds are to be arranged in arithmetic progression      2. geometric progression

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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  • When turning the relative speed of the work piece rotation and feed rates of the cutting tool coupled to the material to be cut must be calculated. The turning machine is designed to run at 8 different speeds via a serious of gears. The speed must be correct to ensure tool longevity, material finish and minimum time of manufacture.  The cutting speed is given by the following equation

 

 

Where:

N = spindle speed (rpm)

CS = Cutting Speed of Metal (m/min)

d= Diameter of Workpiece (mm)

 

Different metals have different CS recommendations.  For this question you are considering brass which has a recommended CS of 60.  The pieces to be machined range in size from 20mm to 55mm.

 

You have been asked to determine the 8 spindle speeds given a CS value for brass for the different diameters. These speeds are to be arranged in

  1. arithmetic progression

     2. geometric progression

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