The aorta carries blood away from the heart at a speed of about 41 cm/s and has a radius of approximately 1.1 cm. The aorta branches eventually into a large number of tiny capillaries that distribute the blood to the various body organs. In a capillary, the blood speed is approximately 0.064 cm/s, and the radius is about 5.9 x 104 cm. Treat the blood as an incompressible fluid, and use these data to determine the approximate number of capillaries in the human body. Number Units

A filling station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.20 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.62 cm and 1.31 cm, and the difference in input and output pressure is P, - P2 = 1.20 kPa. P1 (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s (b) Find the fluid flow rate in cubic meters per second. m3/s

U-shaped tube, open to air on both ends, contains oil. Water is poured into the left arm until the water column is 10 cm deep. What is the height of the oil column (in cm) when the system is in equilibrium? The density of oil is 801 kg/m3

Two hoses are connected to the same outlet using a Y-connector, as the drawing shows. The hoses A and B have the same length, but hose B has the larger radius. Each is open to the atmosphere at the end where the water exits. Water flows through both hoses as a viscous fluid, and Poiseuille's law  [Q=πR4(P2−P1)/(8ηL)] applies to each. In this law, P2 is the pressure upstream, P1 is the pressure downstream, and Q is the volume flow rate. The ratio of the radius of hose B to the radius of hose A is RB/RA = 1.20. Find the ratio of the speed of the water in hose B to the speed in hose A.

Blood in a carotid artery carrying blood to the head is moving at 0.15 m/s when it reaches a section where plaque has narrowed the artery to 75% of its diameter. What is the speed of the blood in the narrow section? Ignore the blood viscosity. Density of blood is 1060 kg/m^3.

Bird bones have air pockets in them to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone in air and in water and finds its mass is 49.3 g and its apparent mass when submerged is 4.06 g (the bone is watertight). (a) What mass (in g) of water is displaced? (b) What is the volume (in cm3) of the bone? (c) What is its average density (in g/cm3)?

Blood in a carotid artery carrying blood to the head is moving at 0.15 m/s when it reaches a section where plaque has narrowed the artery to 75% of its diameter. What is the speed of the blood in the narrow section? Ignore the blood viscosity. Density of blood is 1060 kg/m^3.

Water flows through a circular pipe with a radius of 4cm at a speed of 5 m/s.If the radius of the pipe increase to 8 cm, what is the new speed of the water in the pipe?

A sealed tank containing seawater to a height of 12.0 m also contains air above the water at a gauge pressure of 3.05 atm. Water flows out from the bottom through a small hole.  Calculate the speed with which the water comes out of the tank. Express your answer in meters per second.

A bottle has a neck of diameter 3.5 cm  and a base of 13 cm. It is completely filled with a fluid and the fluid in the neck is struck with a force of 125 N. What force is exerted on the base?