The velocity v of blood that flows in a blood vessel with radius r and length ℓ at a distance r from the central axis is v(r) = p 4ηℓ (r2 − r2) where p is the pressure difference between the ends of the vessel and η is the viscosity of the blood. find the average velocity vave (with respect to r) over the interval 0 ≤ r ≤ r. (use eta for η. use capital p for pressure.)

The average velocity in the interval, 0 ≤ r ≤ R, describes the velocity of

blood flow that can be expected in the interval.

Reasons:

The given function for velocity of blood flow is presented as follows;

Required:

The average velocity with respect to r.

Solution:

The average rate of change of velocity is given by the sum of all the

velocity divided by the size of the set of data;

The dataset size = 0 ≤ r ≤ R = R - 0 = R

The average velocity, , is therefore;

Learn more about finding an average of a dataset, and integrals here:

link

link

1; 35 is the ratio

step-by-step explanation:

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²