Second moment of area about an axis along any diameter in the plane of the cross section (i.e. x-x, y-y) is each equal to (1/4)pi r^4.
The second moment of area about the zz-axis (along the axis of the cylinder) is the sum of the two, namely (1/2)pi r^4.
The derivation is by integration of the following:
int int y^2 dA
over the area of the cross section, and can be found in any book on mechanics of materials.
The radius of the sector of the circle with the given area is: B. 3.
<h3>What is the Area of a Sector?</h3>
Area of sector of a circle = ∅/360 × πr².
Given the following:
Area of sector = 9/8 π cm².
∅ = 45 degrees
Plug in the values into the formula
9/8π = 45/360 × πr²
1.125 = 0.125 × r²
1.125/0.125 = r²
9 = r²
r = 3 cm
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3. i=129; j=112
4.k=90;l=116;m=64;n=86
5.o=13;p=78;q=91
6.a=120;b=60;c=140
Can't see #7
You did 8 I believe
9.v=39;w=59;x=121
10.y=59;z=93
11.a=42;b=48;c=132
12.a=60;b=50;c=80;d=100
There are 138 female patients in the hospital.
<h3>Solving word problems involving ratios.</h3>
The solution to the word problem involving ratios in the given problem can be determined as follows.
From the given information:
The total number of people in the hospital = male + female
= 184 + x(unknown)
- If the ratio of male to female is 4: 3.
- The total ratio is 4+3 = 7
The ratio of males in the hospital is:
x = 322
The number of female patients in the hospital can now be computed as:
= 138 female patients
Check:
The total number of people in the hospital is:
= 184 + 138
= 322 patients
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