Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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![### Problem 4. (Grinding)
In a surface grinding operation using SI units, the parameters are as follows:
- **Wheel Diameter**: 160 mm
- **Infeed**: 0.03 mm
- **Wheel Speed**: 1500 m/min
- **Work Speed**: 0.25 m/s
- **Crossfeed**: 4 mm
- **Number of Active Grits per Area of Wheel Surface**: 35 grits/cm²
When the wheel is engaged in the work, determine:
a. The average length per chip,
b. The metal removal rate, and
c. The number of chips formed per unit time for this portion of the operation.
### Equations Used
1. **Peripheral Wheel Speed**
\[
v = \pi D N
\]
2. **Metal Removal Rate**
\[
R_{MR} = v_w w d
\]
3. **Force on the Wheel**
\[
f_r = \pi D_r N_r \sin I
\]
4. **Chip Length**
\[
l_c = \sqrt{D d}
\]
5. **Grinding Ratio**
\[
r_g = \frac{w'}{t}
\]
6. **Number of Chips**
\[
n_c = v_w C
\]
7. **Energy per Unit Volume**
\[
U = \frac{F_c v}{v_w w d}
\]
8. **Cutting Force**
\[
F'_c = K_1 \left( \frac{r_g v_w}{v C} \right)^{0.5} \left( \frac{d}{D} \right)^{0.25}
\]
9. **Specific Energy**
\[
T_s = K_2 d^{0.75} \left( \frac{r_g C v}{v_w} \right)^{0.5} D^{0.25}
\]
10. **Grinding Ratio (alternate expression)**
\[
GR = \frac{V_w}{V_g}
\]
These equations are used to analyze the grinding process, calculate chip formation, and evaluate the efficiency of metal removal.](https://content.bartleby.com/qna-images/question/3f8a6c8f-9c9e-4a3f-8cfc-fb848b18acc8/57911471-4a6e-4c86-a125-df66ae2e5061/bmzl58h_processed.gif)
Transcribed Image Text:### Problem 4. (Grinding)
In a surface grinding operation using SI units, the parameters are as follows:
- **Wheel Diameter**: 160 mm
- **Infeed**: 0.03 mm
- **Wheel Speed**: 1500 m/min
- **Work Speed**: 0.25 m/s
- **Crossfeed**: 4 mm
- **Number of Active Grits per Area of Wheel Surface**: 35 grits/cm²
When the wheel is engaged in the work, determine:
a. The average length per chip,
b. The metal removal rate, and
c. The number of chips formed per unit time for this portion of the operation.
### Equations Used
1. **Peripheral Wheel Speed**
\[
v = \pi D N
\]
2. **Metal Removal Rate**
\[
R_{MR} = v_w w d
\]
3. **Force on the Wheel**
\[
f_r = \pi D_r N_r \sin I
\]
4. **Chip Length**
\[
l_c = \sqrt{D d}
\]
5. **Grinding Ratio**
\[
r_g = \frac{w'}{t}
\]
6. **Number of Chips**
\[
n_c = v_w C
\]
7. **Energy per Unit Volume**
\[
U = \frac{F_c v}{v_w w d}
\]
8. **Cutting Force**
\[
F'_c = K_1 \left( \frac{r_g v_w}{v C} \right)^{0.5} \left( \frac{d}{D} \right)^{0.25}
\]
9. **Specific Energy**
\[
T_s = K_2 d^{0.75} \left( \frac{r_g C v}{v_w} \right)^{0.5} D^{0.25}
\]
10. **Grinding Ratio (alternate expression)**
\[
GR = \frac{V_w}{V_g}
\]
These equations are used to analyze the grinding process, calculate chip formation, and evaluate the efficiency of metal removal.
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- The following data is given for slab milling of a 300 mm long 50 mm wide mild steel block: Cutter of diameter= 60 mm; Numbers of teeth =12; Cutter speed = 120 rev/min; Depth of cut = 3.2 mm; Feed is 0.25 mm/tooth.Determine (i) Table feed in mm/min, (ii) MRR (iii) Power (iv) Torque and (v) Total machining time. Assumesuitable approach and over-run and specific energy of mild steel as 5 Ws/mm3.arrow_forwardPLEASE SUMMARIZE IT IN YOUR WORDS!arrow_forward(Grinding Operations and Grinding Machines) (USCS units) In a centerless grinding operation, the grinding wheel diameter = 8 in, and the regulating wheel diameter = 5.0 in. The grinding wheel rotates at 1500 rev/min, and the regulating wheel rotates at 180 rev/min. The inclination angle of the regulating wheel = 2.3°º. Determine the production rate of cylindrical work parts whose diameter = 0.5 in and length = 5.0 in.arrow_forward
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