Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Help with the following question
If a surface has heights and depths as illustrated below, evaluate \( R_a, R_p, R_v, R_t , \) and \( R_z \) values (in units of height). **Description of the Graph:** The graph displays a series of triangular peaks and valleys along a central horizontal axis, indicating the surface profile. The heights above the axis are labeled, starting from left to right, as follows: - Heights above the axis: 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 2, 1 - Depths below the axis: 1, 2, 1, 1, 1, 1, 2, 1 **Values to Determine:** - \( R_a \): Arithmetic mean of the absolute values of the heights and depths. - \( R_p \): Maximum height from the mean line to the peak. - \( R_v \): Maximum depth from the mean line to the valley. - \( R_t \): Total height from the deepest valley to the highest peak. - \( R_z \): Maximum height difference over several peaks and valleys. To determine these values, analyze the measurements provided and calculate according to standard formulas for surface roughness parameters.
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Transcribed Image Text:If a surface has heights and depths as illustrated below, evaluate \( R_a, R_p, R_v, R_t , \) and \( R_z \) values (in units of height). **Description of the Graph:** The graph displays a series of triangular peaks and valleys along a central horizontal axis, indicating the surface profile. The heights above the axis are labeled, starting from left to right, as follows: - Heights above the axis: 1, 2, 3, 4, 3, 2, 1, 2, 3, 4, 2, 1 - Depths below the axis: 1, 2, 1, 1, 1, 1, 2, 1 **Values to Determine:** - \( R_a \): Arithmetic mean of the absolute values of the heights and depths. - \( R_p \): Maximum height from the mean line to the peak. - \( R_v \): Maximum depth from the mean line to the valley. - \( R_t \): Total height from the deepest valley to the highest peak. - \( R_z \): Maximum height difference over several peaks and valleys. To determine these values, analyze the measurements provided and calculate according to standard formulas for surface roughness parameters.
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Step 1: Determine the given diagram

Mechanical Engineering homework question answer, step 1, image 1

To space determine colon straight R subscript straight a open parentheses Surface space roughness close parentheses straight R subscript straight P left parenthesis Maximum space height right parenthesis straight R subscript straight V left parenthesis Maximum space depth right parenthesis straight R subscript straight t left parenthesis Total space height right parenthesis straight R subscript straight z left parenthesis Average space max space height space of space the space profile right parenthesis

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