(a) Calculate the mass flow rate (in grams per second) of blood (ρ = 1.0 g/cm3 ) in an aorta with a crosssectional area of 2.0 cm2 if the flow speed is 40 cm/s. (b) Assume that the aorta branches to form a large number of capillaries with a combined cross-sectional area of 3.0 × 103 cm2. What is the flow speed in the capillaries?

A reservoir of water has the surface at 310 m above the outlet nozzle of a pipe with diameter 15 mm. Applying Torricelli's theorem, what is : (a) the velocity of efflux (b) the discharge out of the nozzle, in metre'/second.

A cylindrical tank with a large diameter is filled with water to a depth D = 0.366 m. A hole of cross-sectional area A = 5.62 cm2 in the bottom of the tank allows water to drain out. (a) What is the rate at which water flows out, in cubic meters per second? (b) At what distance below the bottom of the tank is the cross-sectional area of the stream equal to one-half the area of the hole? (a) Number i Units (b) Number i Units

A laser Doppler velocimeter was used to determine the velocity of the water flow in an open channel whose cross-section is a triangle with a base of 0.436 m and a depth of 0.358 m. If the velocity of the water flow 7.68 m/s, determine the mass flow rate in kg/s. Answer in 3 decimal places.

A cylindrical tank with a large diameter is filled with water to a depth D = 0.461 m. A hole of cross-sectional area A = 7.44 cm² in the bottom of the tank allows water to drain out. (a) What is the rate at which water flows out, in cubic meters per second? (b) At what distance below the bottom of the tank is the cross-sectional area of the stream equal to one-half the area of the hole? (a) Number i (b) Number i Units Units

The aortic vein carries blood (ρ = 1.0 g / cm^3 ) across a transverse area of ​​2.0 cm^2 , with a speed of 0.40 m / s. Assuming that the branches of the aortic vein form a large number of capillaries with a total cross-sectional area of ​​3.0 x 103 cm^2 , determine the speed of blood flow in the capillaries.

The flow rate of blood through a 2.00×10-6 -m -radius capillary is 3.80×109 cm3/s . (a) What is the speed of the blood flow? (This small speed allows time for diffusion of materials to and from the blood.) (b) Assuming all the blood in the body passes through capillaries, how many of them must there be to carry a total flow of 90.0 cm3/s ? (The large number obtained is an overestimate, but it is still reasonable.)

The flow rate of blood through a 2.00×10–6-m -radiuscapillary is 3.80×109 cm3 /s . (a) What is the speed of theblood flow? (This small speed allows time for diffusion ofmaterials to and from the blood.) (b) Assuming all the blood inthe body passes through capillaries, how many of them mustthere be to carry a total flow of 90.0 cm3 /s ? (The largenumber obtained is an overestimate, but it is still reasonable.)

A vial of blood was placed at a height of 1.2 meters from a needle used to transfer blood to the patient. If the inner diameter of the needle is 0.34 meters and its length is 3 cm, and the time rate of blood flow through the needle is 4.4 cm 3 /minute. Find the viscosity of the blood, given that the density of blood is 1.1×10³ kg/m³?

A reservoir has the shape of a sphere with radius 6 m. It is filled up to 10 m with water. (i) Let z be the height in meters measured from the base of the reservoir. The weight in Newtons of a thin layer of water between zand z+Az is approximately P (1) Az. What is P (1) ? P (2) = Express the answer using a formula. Recall that the density of water is p = 1000 Kg/m³ and the acceleration due to gravity on the earth's surface is g = 9.8 m (ii) The work in Joules required to pump the thin water layer to 2 meters above the reservoir is approximately w (1) Az. What is w (1) ? w (x) = Express the answer as a formula. (iii) Using pro Answer: TYMINUCI Joules m