A turning operation is performed on C1008 steel (a ductile steel) using a tool with a nose radius = 1.3 mm. Cutting speed = 61 m/min and feed = 0.27 mm/rev. Compute an estimate of the surface roughness in this operation. (Hint: the ratio of actual to ideal roughness can be read on the figure below) Equations used Ri f² 32NR Ra = rai Ri Actual Theoretical Ratio= 2.4 2.2 2.0 1.8 1.4 1.2 1.0 0 Ductile metals Cast irons Free machining alloys 100 1 30.5 200 Cutting speed-ft/min 1 61 300 91.5 Cutting speed - m/min T 400 I 122

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Turning Operation on C1008 Steel**

A turning operation is performed on C1008 steel (a ductile steel) using a tool with a nose radius of 1.3 mm. The cutting speed is set to 61 m/min, and the feed is 0.27 mm/rev. Your task is to compute an estimate of the surface roughness in this operation. (Hint: the ratio of actual to ideal roughness can be read on the figure below.)

**Graph Explanation:**

The graph illustrates the ratio of actual to theoretical roughness for different materials as a function of cutting speed. The y-axis represents the ratio, ranging from 1.0 to 2.4. The x-axis indicates the cutting speed in m/min (lower scale) and ft/min (upper scale).

Three curves are present for various materials:
- **Ductile metals**
- **Cast irons**
- **Free machining alloys**

These curves provide a visual representation of how the surface roughness varies with cutting speed across different materials.

**Equations Used:**

The following equations are employed to calculate the surface roughness:

1. \( R_i = \frac{f^2}{32NR} \)

2. \( R_a = r_{ai} R_i \)

Where:
- \( R_i \) is the ideal roughness.
- \( R_a \) is the actual roughness.
- \( f \) is the feed rate.
- \( N \) is the number of revolutions.
- \( R \) is the nose radius of the tool.
- \( r_{ai} \) is the ratio of actual to ideal roughness.  

By using these equations and the graph, you can estimate the surface roughness for the turning operation on C1008 steel.
Transcribed Image Text:**Turning Operation on C1008 Steel** A turning operation is performed on C1008 steel (a ductile steel) using a tool with a nose radius of 1.3 mm. The cutting speed is set to 61 m/min, and the feed is 0.27 mm/rev. Your task is to compute an estimate of the surface roughness in this operation. (Hint: the ratio of actual to ideal roughness can be read on the figure below.) **Graph Explanation:** The graph illustrates the ratio of actual to theoretical roughness for different materials as a function of cutting speed. The y-axis represents the ratio, ranging from 1.0 to 2.4. The x-axis indicates the cutting speed in m/min (lower scale) and ft/min (upper scale). Three curves are present for various materials: - **Ductile metals** - **Cast irons** - **Free machining alloys** These curves provide a visual representation of how the surface roughness varies with cutting speed across different materials. **Equations Used:** The following equations are employed to calculate the surface roughness: 1. \( R_i = \frac{f^2}{32NR} \) 2. \( R_a = r_{ai} R_i \) Where: - \( R_i \) is the ideal roughness. - \( R_a \) is the actual roughness. - \( f \) is the feed rate. - \( N \) is the number of revolutions. - \( R \) is the nose radius of the tool. - \( r_{ai} \) is the ratio of actual to ideal roughness. By using these equations and the graph, you can estimate the surface roughness for the turning operation on C1008 steel.
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