Show that this equation is dimensionally homogeneous

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Find: Show that this equation is dimensionally homogeneous

Problem 2
Given: The expression for evaluating the armor weight of a breakwater is
YaH3
W
Kp (Sa – 1)3 cot(a)
where W is the calculated armor weight; H is the design wave height; Ya and Sa are the
specific weight and specific gravity of the armor unit, respectively; K, is an experimentally
determined stability coefficient for the particular armor unit (dimensionless); and a slope
angle of the breakwater.
Required: Show that this equation is dimensionally homogeneous.
Transcribed Image Text:Problem 2 Given: The expression for evaluating the armor weight of a breakwater is YaH3 W Kp (Sa – 1)3 cot(a) where W is the calculated armor weight; H is the design wave height; Ya and Sa are the specific weight and specific gravity of the armor unit, respectively; K, is an experimentally determined stability coefficient for the particular armor unit (dimensionless); and a slope angle of the breakwater. Required: Show that this equation is dimensionally homogeneous.
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