1) Let the tank has diameter D=1 m and height H=5 m. The initial volume on the water in the tank is Vi=10 m3. Provide a graph of the height of the water in the tank as function of time for a time interval of 24 hours. The volumetric flow rate of the water that flows in is 3 m3/s. The volumetric flow rate of the water that flows out is 2 m3/s   2) Let the tank has radius R=1 m and height H=5 m. The initial volume on the water in the tank is Vi=10 m3. Provide a graph of the height of the water in the tank as function of time for a time interval of 24 hours. The volumetric flow rate of the water that flows in is 2 m3/s. The volumetric flow rate of the water that flows out is 2 m3/s.

The weight of Earths atmosphere exerts an average pressure of 1.01 105 Pa on the ground at sea level. Use the definition of pressure to estimate the Height of Earths atmosphere by approximating Earth as a sphere of radius RE = 6.38 106 m and surface area A = 4RE2.

Blood is pumped from the heart at a rate of 5.0 L/min into the aorta (of radius 1.0 cm). Determine the speed of blood through the aorta.

The human circulation system has approximately 1109 capillary vessels. Each vessel has a diameter of about 8 m. Assuming cardiac output is 5 L/min, determine the average velocity of blood flow through each capillary vessel.

(a) What is the mass of a deep breath of air having a volume of 2.00 L? (b) Discuss the effect taking such a breath has on your body's volume and density.

(a) The pressure inside an alveolus with a 2.00104 -m radius is 1.40103 Pa, due to its fluid-lined walls. Assuming the alveolus acts like a spherical bubble, what is the surface tension of the fluid? (b) Identify the likely fluid. (You may need to extrapolate between values in Table 11.3.)

A large chunk of metal has a mass of 393 kg, and its volume is measured to be 0.05 m3. (a) Find the metal's mass density and weight density in SI units, (b) what kind of metal is it?

A 62.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m 2.00 m 0.090 0 m. The bottom 0.024 m of the raft is submerged. (a) Draw a force diagram of the system consisting of the survivor and raft. (b) Write Newtons second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0.) (c) Calculate the numeric value for the buoyancy, B. (Seawater has density 1 025 kg/m3.) (d) Using the value of B and the weight w of the survivor, calculate the weight w, of the Styrofoam. (e) What is the density of the Styrofoam? (f) What is the maximum buoyant, force, corresponding to the raft being submerged up to its top surface? (g) What total mass of survivors can the raft support?

Blood is flowing through an artery of radius 2 mm at a rate of 40 cm/s. Determine the flow rate and the volume that passes through the artery in a period of 30 s.

You are pumping up a bicycle tire with a hand pump, the piston of which has a 2.00-cm radius. (a) What force in newtons must you exert to create a pressure of 6.90105 Pa (b) What is unreasonable about this (a) result? (c) Which premises are unreasonable or inconsistent?