1- As an aid in working this problem, consult Concept Simulation 11.1 . Assuming

Question

1- As an aid in working this problem, consult Concept Simulation 11.1.

Assuming that the openings are at the same vertical level, find the difference in air pressure between the openings.
Pa

Indicate which way the air circulates.
---Select---The air enters at A and exits at B.The air enters at B and exits at A.

The volume flow rate in an artery supplying the brain is 4.00 times 10-6 m3/s. If the radius of the artery is 4.40 times 10-3 m, determine the average blood speed. Find the average blood speed at a constriction in the artery if the constriction reduces the radius by a factor of 8. Assume that the volume flow rate is the same as that in part (a). 2- Prairie dogs are burrowing rodents. They do not suffocate in their burrows, because the effect of air speed on pressure creates sufficient air circulation. The animals maintain a difference in the shapes of two entrances to the burrow, and because of this difference, the air (? = 1.29 kg/m3) blows past the openings at different speeds, as the drawing indicates. (vA = 7.9 m/s, and vB = 1.1 m/s.) Assuming that the openings are at the same vertical level, find the difference in air pressure between the openings

Explanation / Answer

1. a) .06576 m/s

    b) 4.209056 m/s

Find area using 3.14*rexp2

Find velocity by dividing volumetric flow rate with area

2. Use Bernoulli's theorem to find relation between pressure at A and B.

Since no variation in height is present we can use velocity and density to find kinetic energy/volume and find pressure difference.

pressure difference = 39.474 Pa. Air flows from B to A since pressure difference between A and B is negative

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