### 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/cm²When 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 Used1. **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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Problem 4. (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 V = TDN R MR lc rg = √ Dd = U = vwwd nc = vwC w' t GR Fev vwwd rgvw d F'. = K₁ (TW) 0.5 (1) 0.25 vC D Ts = K₂d0.75 = V fr = TD,N, sin I w Vg 0.5 20.75 ( TO CU) OD D rg Cv บ D0.25 ▶

Problem 4. (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 V = TDN R MR lc rg = √ Dd = U = vwwd nc = vwC w' t GR Fev vwwd rgvw d F'. = K₁ (TW) 0.5 (1) 0.25 vC D Ts = K₂d0.75 = V fr = TD,N, sin I w Vg 0.5 20.75 ( TO CU) OD D rg Cv บ D0.25 ▶

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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