## Determining Cutting Speeds in Machining EconomicsA turning operation is performed with HSS tooling on mild steel, with Taylor tool life parameters $ n = 0.12 $, $ C = 60 $ m/min. The work part length is 450 mm and the diameter is 80 mm. The feed rate is 0.20 mm/rev. The handling time per piece is 4.0 minutes and the tool change time is 1.5 minutes. The cost of the machine and operator is $27/hour, and the tooling cost is $2 per cutting edge. Determine:a. Cutting speed for maximum production rate. b. Cutting speed for minimum cost.### Equations Used:1. Cutting speed for maximum production rate: \[ v_{\text{max}} = C \left( \frac{n}{1-n} \cdot \frac{1}{T_t} \right)^n \]2. Cutting speed for minimum cost: \[ v_{\text{min}} = C \left( \frac{n}{1-n} \cdot \frac{C_o}{C_o T_t + C_t} \right)^n \]

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ENGR.ECONOMIC ANALYSIS

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Chapter1: Making Economics Decisions

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## Determining Cutting Speeds in Machining Economics

A turning operation is performed with HSS tooling on mild steel, with Taylor tool life parameters $ n = 0.12 $, $ C = 60 $ m/min. The work part length is 450 mm and the diameter is 80 mm. The feed rate is 0.20 mm/rev. The handling time per piece is 4.0 minutes and the tool change time is 1.5 minutes. The cost of the machine and operator is $27/hour, and the tooling cost is $2 per cutting edge.

Determine:
a. Cutting speed for maximum production rate.
b. Cutting speed for minimum cost.

### Equations Used:

1. Cutting speed for maximum production rate:

\[
v_{\text{max}} = C \left( \frac{n}{1-n} \cdot \frac{1}{T_t} \right)^n
\]

2. Cutting speed for minimum cost:

\[
v_{\text{min}} = C \left( \frac{n}{1-n} \cdot \frac{C_o}{C_o T_t + C_t} \right)^n
\]

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Machining or metal cutting is one significant part of the creation framework. Extreme protesting of machining is to give expected shape, size and wrap up by step by step eliminating material from workpiece. Important advances like expulsion of material, setting the work and cutting apparatus, and dispatching the machined work consume significant measure of time, which are basically not irrelevant. For viable preparation of the whole presentation, by and large machining or cutting time should be consolidated.

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