00:01
The pressure drop is given by the expression eight aeter l q over pi r to the power of four let's call this equation one here eta represents the coefficient of viscosity and for blood it is given to be four into ten to the power of minus three pascal second and q represents the flow which is given to be four into ten to the power of minus three pascal second and q represents the floor which is given to to be 8 cm cube, sorry 80 centimeter cube per second, which can be converted to meter cube per second by multiplying it with 10 to the power of minus 6.
00:50
So part a.
00:52
For the iota, the length of the tube is given to be 11 cm, which can also be written as 0 .11 meter.
01:00
And the radius of the tube is given to be 1 .30 centimeter, which can also to be written as 1 .30 into 10 to the power of minus 2 meter.
01:11
Now on substituting the values in equation 1, we get the pressure drop delta p to be equal to 8 times of 4 into 10 to the power of minus 3 pascal second multiplied by 0 .11 meter multiplied by 80 into 10 to the power of minus 6 meter cube per second the whole divided by pi times 1 .30 into 10 to the power of minus 2 meter, the whole raised to the power of 4.
01:48
Now on calculating we get 3 .1384 pascal and this can be converted to millimeter mercury by multiplying it with 0 .0075 millimeter of mercury per pascal.
02:09
Now on calculating we get 2 .4 into 10 to the power of minus 2 millimeter of mercury.
02:20
So part b.
02:23
For n arteries where n equals 200, the pressure drop delta p can be written as 8e the lq over n pi r to the power of 4.
02:38
And for the arteries, l is given to be 80 cent.
02:43
Which can also be written as 0 .80 meter and r the radius is given to be 0 .3 centimeter which is 0 .3 into 10 to the power of minus 2 meter.
02:57
Now on substituting we get the pressure drop delta p to be equal to 8 times of 4 into 10 to the power of minus 3 pascal second multiplied by 0 .80 meter multiplied by 80 into 10 to the power of minus 6 meter cube per second the whole divided by 200 times pi multiplied by 0 .3 into 10 to the power of minus 2 meters the whole raised to the power of 4 now the answer will be in pascal which can be converted to millimeter of mercury by multiplying it with 0 .0075 millimeter of mercury per pascal...