Answered: If a surface has heights and depths as…

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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$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 $: Maximum height difference over several peaks and valleys. To determine these values, analyze the measurements provided and calculate according to standard formulas for surface roughness parameters.$

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

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