00:02
Hello friends.
00:03
We are told that a boy plugs his finger of diameter 1 .20 centimeters into a hole that's 2 meters in depth.
00:12
Firstly, we'll convert the diameter of the fingers to meter to get 1 .20 times 10 to the power minus 2 meters.
00:21
Next up, let's find the area of the hole and that will be the same as area of the finger of the finger and we denote.
00:34
It by a so this will be equals to pi times the diameter divided by two whole square we can do subpart e of the equation for for that we find first the pressure on the finger pressure on the finger let's denote it by p now this will be equals to row which is the density of water times the acceleration due to gravity multiplied to that now the force on the finger, force on the finger, let's call it f, is given by pressure times the area.
01:23
So we'll simply put the expressions for pressure and area to get force f equals pressure, which you have written as row times z times d, and the area that we have written as pi times d, d by 2 whole squared.
01:41
Now we can plug in the values to get row, which is 1 .30 times z, which is 9 .8.
01:50
The depth is 2 meters.
01:52
We can write 5 times the diameter, which is 1 .20 times 10 to the power minus 2 divided by 2.
02:03
And this is whole square.
02:05
On calculating the up of expression, we get the force app on the boy's finger, as equals to 1 .649 newtons.
02:19
In the second part of the equation, we have a certain area to fill.
02:23
So in part b, the area, the area to fill, let's call it af is equals to 1 acres.
02:35
And this land has to be filled to a depth, let's call it df, the depth to fill as 1 feet.
02:49
So the volume to fill will be the area multiplied to the depth, that is one acre feet.
03:04
And this is given in the equation to be 1 ,234 meter cubed.
03:11
Bernoulli's equation is what we'll use here.
03:15
And bernoulli's equation or bernoulli's theorem tells us of the fluids flowing from one point to another...