00:01
The fuel tanks for airplanes are in the wings.
00:05
The tank must hold 5 ,400 pounds of fuel with density 42 pounds per cubic feet.
00:16
Estimate the length of the tank using simpson's rule.
00:19
We have a sketch of the wing here with the tank from the left most vertical segment to the right most vertical segment.
00:29
The first one is height or length y zero, then we have y1 up to y6.
00:37
The horizontal spacing, that is spacing between any two consecutive bars here, is 1 .2 feet.
00:45
And the height y0 up to y6 are y0, 1 .4.
00:51
All are given in fit.
00:53
Y1, 1 .5, y2, 1 .7, y3, 1 .9 .9.
00:59
Y4, 2 .1, y5, 2 .3, and y6, 2 .2.
01:07
Okay, so what we got to do here is, first we know the mass of the fuel is 5 ,400 pounds.
01:25
And we know the density of the fuel is 42 pounds per cubic feet.
01:33
So we know that the volume must be given by the mass over.
01:42
Sorry, i'm writing another thing here.
01:46
Sorry, it's density equal.
01:48
Density equal.
01:51
The most simplest case, density must be equal to the mass divided by the volume.
01:57
So we must have that the volume is given by the mass over the density...