" Centroids "I just want to clarify Because I get the answer approximately 3m and the answer key was 3.70 and the expert answered 3.69 which is correct also based on answer key but my issue here is that the radius is in the unit of "Centimeter" i converted it to meter and thats the thing i got different with the solution of expert, maybe the radius should be in meter because the units used is meters? I want to correct myself or to clarify maybe the answer key was wrong If i should convert the CM to M or let it as it should be in cm? Thankyouuu! I appreciate your effort in helping and answering me! From the rectangular area shown a semi-circle of radius 4 cm is removed. Locate thecentroid, (C), of the remaining area.[Ans. C: (3.70m, 0)]y6mXX4cm6m6m We know that after removing any area from a given area, the centroid can be calculatedfrom the given formulaXem =A-Agtotal areaHere A,A2 = removed areax1 &x2 are the distances of centroid from a fixed origin for therespective areasNow A, = area of rectangle = 6x 12 = 72 m?Also A2area of semicircle =0. Sm? = 0. 5m x 4? = 25. 13 m?X1 =centroid of rectangle measured from origin O = 3mX2 = centroid of semicircle measured from origin O = 6= 6 -37-4x4= 616= 4. 302 m.-After putting all the values we get72x3 - 25.13x4302Kam == 2. 3019 m72-25.13Calculating xem from the center of the semicircle is 6– 2. 3019 = 3. 698As the figure is symmetric about x axis thus yam = 0Hence Centroid = C(3. 69,0)

The given radius 4 cm is very less in comparison to the 6 m. So, if the radius will be in…

Answered: From the rectangular area shown a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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" Centroids "

I just want to clarify Because I get the answer approximately 3m and the answer key was 3.70 and the expert answered 3.69 which is correct also based on answer key but my issue here is that the radius is in the unit of "Centimeter" i converted it to meter and thats the thing i got different with the solution of expert, maybe the radius should be in meter because the units used is meters? I want to correct myself or to clarify maybe the answer key was wrong If i should convert the CM to M or let it as it should be in cm? Thankyouuu! I appreciate your effort in helping and answering me!

From the rectangular area shown a semi-circle of radius 4 cm is removed. Locate the
centroid, (C), of the remaining area.
[Ans. C: (3.70m, 0)]
y
6m
X
X
4cm
6m
6m

We know that after removing any area from a given area, the centroid can be calculated
from the given formula
Xem =
A-Ag
total area
Here A,
A2 = removed area
x1 &x2 are the distances of centroid from a fixed origin for the
respective areas
Now A, = area of rectangle = 6x 12 = 72 m?
Also A2
area of semicircle =
0. Sm? = 0. 5m x 4? = 25. 13 m?
X1 =
centroid of rectangle measured from origin O = 3m
X2 = centroid of semicircle measured from origin O = 6
= 6 -
37
-
4x4
= 6
16
= 4. 302 m.
-
After putting all the values we get
72x3 - 25.13x4302
Kam =
= 2. 3019 m
72-25.13
Calculating xem from the center of the semicircle is 6– 2. 3019 = 3. 698
As the figure is symmetric about x axis thus yam = 0
Hence Centroid = C(3. 69,0)

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