Answer: F = 211312.5ft/lb.
Step-by-step explanation: Hydrostatic pressure is pressure caused by a fluid due to the force of gravity. It is calculated following the formula:
P = ρgh.
ρ is the fluid density (62.5 lb/ft³);
g is the gravitacional acceleration( 32.2ft/s²);
h is the height of the fluid columm;
P = 62.5.32.2.h
Pressure at h = 1ft:
P = 62.5.32.2.1
P = 2012.5 psi.
Now, hydrostatic force is F = ![\frac{P}{A}](https://tex.z-dn.net/?f=%5Cfrac%7BP%7D%7BA%7D)
The pressure exerted on the surface is not constant. It depends on the height. So, to evaluate the force:
dF = P(h) dA
Since it a rectangular plate, dA = w.dh, where w is its width and equals 6 and dh is its height element.
That gives: dF = P(h)w.dh
= 2012.5.6.
= 2012.5.6(
) = 12075(
) = 211312.5ft/lb.
Answer:
2(cos135° + isin135°)
Step-by-step explanation:
z^6 = 64i
We need to change i to polar form
cos (90) + isin (90) = i
x^6 = 64 cos (90) + isin (90)
Now we need to take the sixth root of each side
(x^6) ^ 1/6 = ((64)( cos (90) + isin (90)) ^ 1/6
(x^6) ^ 1/6 = ((64) ^ 1/6 * cos (90) + isin (90)) ^ 1/6
(x^6) ^ 1/6 = 2( * cos (90) + isin (90)) ^ 1/6
We we take the roots of the trig functions, we have 6 roots
360/n means the roots are 60 degrees are apart
take 90 /6 = 15 degrees
The first root is at 2 (cos (15) + isin (15))
The second root is at 2 (cos (15+60) + isin (15+60))
2 (cos (75) + isin (75))
The third root is at 2 (cos (75+60) + isin (75+60))
2 (cos (135) + isin (135))
and so on
Answer:
3.625
step by step explanation :
I just simply searched it up
The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
(20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches.
B. No, the rectangle cannot have x = 20 and y = 11 because x + y ≠ 32
Perimeter = 2(l + w)
Perimeter = 64
Assuming: P = 64; w = 11 ; l = ?
64 = 2(l + 11)
64/2 = l + 11
32 - 11 = l
length = 21.