00:01
There, so for this problem, we are told that the venturi tooth that is shown in this figure may be used as a fluid flow meter.
00:11
Now, you need to suppose that the device is used at a service station to measure the flow rate of gasoline.
00:19
We are given the density for gasoline that is equal to 7 times 10 to 2 kilograms per cubic meter.
00:30
Through a host that is having an outlet radius.
00:35
So let's call that oled radius at the radius 2.
00:41
And that is equal to 1 .29 centimeters.
00:46
And the difference in pressure is measured to be.
00:51
So the pressure between the point 1 and the 0 .2 is equal to 2k.
00:57
Kilo pascal.
01:00
And the radius of the inlet, two, we're going to call this the radius 1, is equal to 2 .58 centimeters.
01:13
Now for part a of this problem, we are asked about the speed of the gasoline as it enters the hose.
01:28
Now to calculate this, we can use the equation of continuity.
01:34
That the equation states that the cross -ceptional area 1 times the speed at the point 1 is equal to the cross -ceptional area 2 times the speed 2.
01:52
Now we can solve for the speed 1 and then we will have that that is just simply this.
02:07
And now we know that the cross -septional area is just pi times the radius square.
02:15
So we will have.
02:16
For the area 2, we will have pi times the radius of the radius 2 square times the speed square, and this divided by pi times the radius 1 to the square.
02:31
We can cancel the pies in here, and then we will have just simply the radius 2 divided by the radius 1, all of that to the square times the speed 2.
02:46
And now we just simply substitute those values for the radius that we are given.
02:52
So we will have the following.
02:54
The radius 2 is equal to 1 .29 centimeters.
03:02
And the radius 1 .58 centimeters...