(Grinding) (SI units) Wheel diameter = 160 mm, and infeed = 0.03 mm in a surface grinding operation. Wheel speed = 1500 m/min, work speed = 0.25 m/s, and crossfeed = 4 mm. The number of active grits per area of wheel surface = 35 grits/cm². When the wheel is engaged in the work, determine: a. average length per chip, b. metal removal rate, and C. number of chips formed per unit time for the portion of the operation equations used; lc = VDd RMR = vwwd U = Fev vwwd

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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# Grinding Operations Analysis

For a surface grinding operation using the following parameters:

- Wheel Diameter: 160 mm
- Infeed: 0.03 mm
- Wheel Speed: 1500 m/min
- Work Speed: 0.25 m/s
- Crossfeed: 4 mm
- Active grits per area of wheel surface: 35 grits/cm²

**Determine:**

a. Average length per chip  
b. Metal removal rate  
c. Number of chips formed per unit time for the operation segment  

**Equations Used:**

1. **Average Length per Chip (\(l_c\)):**

   \[
   l_c = \sqrt{Dd}
   \]

   - \(D\) = Wheel Diameter
   - \(d\) = Depth of Cut (infeed)

2. **Metal Removal Rate (\(R_{MR}\)):**

   \[
   R_{MR} = v_w w d
   \]

   - \(v_w\) = Work Speed
   - \(w\) = Width of Cut (crossfeed)
   - \(d\) = Depth of Cut (infeed)

3. **Number of Chips Formed per Unit Time (\(U\)):**

   \[
   U = \frac{F_c v}{v_w w d}
   \]

   - \(F_c\) = Cutting Force
   - \(v\) = Relative Speed Between the Tool and the Workpiece

These equations help in analyzing and optimizing the grinding process to achieve desired outputs efficiently.
Transcribed Image Text:# Grinding Operations Analysis For a surface grinding operation using the following parameters: - Wheel Diameter: 160 mm - Infeed: 0.03 mm - Wheel Speed: 1500 m/min - Work Speed: 0.25 m/s - Crossfeed: 4 mm - Active grits per area of wheel surface: 35 grits/cm² **Determine:** a. Average length per chip b. Metal removal rate c. Number of chips formed per unit time for the operation segment **Equations Used:** 1. **Average Length per Chip (\(l_c\)):** \[ l_c = \sqrt{Dd} \] - \(D\) = Wheel Diameter - \(d\) = Depth of Cut (infeed) 2. **Metal Removal Rate (\(R_{MR}\)):** \[ R_{MR} = v_w w d \] - \(v_w\) = Work Speed - \(w\) = Width of Cut (crossfeed) - \(d\) = Depth of Cut (infeed) 3. **Number of Chips Formed per Unit Time (\(U\)):** \[ U = \frac{F_c v}{v_w w d} \] - \(F_c\) = Cutting Force - \(v\) = Relative Speed Between the Tool and the Workpiece These equations help in analyzing and optimizing the grinding process to achieve desired outputs efficiently.
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