. (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°. Determine the production rate of cylindrical work parts whose diameter = 0.5 in and length = 5.0 in. Solutions used; fr = TD,N, sin I

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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**Grinding Operations and Grinding Machines**

**Problem Statement:**
In a centerless grinding operation using USCS units, the grinding wheel has a diameter of 8 inches, while the regulating wheel has a diameter of 5.0 inches. The grinding wheel rotates at 1500 revolutions per minute (rev/min), and the regulating wheel rotates at 180 rev/min. The inclination angle of the regulating wheel is 2.3 degrees. Determine the production rate of cylindrical work parts with a diameter of 0.5 inches and a length of 5.0 inches.

**Solution Approach:**

The following formula is used to determine the production rate (\(f_r\)):

\[
f_r = \pi D_r N_r \sin I
\]

Where:
- \(D_r\) = Diameter of the regulating wheel
- \(N_r\) = Rotational speed of the regulating wheel
- \(I\) = Inclination angle of the regulating wheel

This equation calculates the production rate of the cylindrical work parts by considering the geometry and operating parameters of the grinding process.
Transcribed Image Text:**Grinding Operations and Grinding Machines** **Problem Statement:** In a centerless grinding operation using USCS units, the grinding wheel has a diameter of 8 inches, while the regulating wheel has a diameter of 5.0 inches. The grinding wheel rotates at 1500 revolutions per minute (rev/min), and the regulating wheel rotates at 180 rev/min. The inclination angle of the regulating wheel is 2.3 degrees. Determine the production rate of cylindrical work parts with a diameter of 0.5 inches and a length of 5.0 inches. **Solution Approach:** The following formula is used to determine the production rate (\(f_r\)): \[ f_r = \pi D_r N_r \sin I \] Where: - \(D_r\) = Diameter of the regulating wheel - \(N_r\) = Rotational speed of the regulating wheel - \(I\) = Inclination angle of the regulating wheel This equation calculates the production rate of the cylindrical work parts by considering the geometry and operating parameters of the grinding process.
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