Air flows through the tube shown at a rate of 1200 cm³/s. Assume that air is an ideal fluid (incompressible, non- viscous). What is the additional height h of mercury in the right side of the U-tube compared to the left side?

The Venturi tube discussed in Example 14.8 and shown in figure may be used as a fluid flowmeter. Suppose the device is used at a service station to measure the flow rate of gasoline (p = 7 X10² kg/m³) through a hose having an outlet radius of 1.2 cm. If the difference in pressure is %3D measured to be (P1 - P2 = 1.2 kPa) and the radius of the inlet tube to the meter is 2.4 cm. (a) Find the speed V2 of the gasoline as it leaves the hose. (b) Find the fluid flow rate in cubic meters per second.

Air flows through a heating duct with a square cross-section with 6-inch sides at a speed of 4.3 ft/s. Just before reaching an outlet in the floor of a room, the duct widens to assume a square cross-section with sides equal to 13 inches. Compute the speed of the air flowing into the room (in ft/s), assuming that we can treat the air as an incompressible fluid.

A weather balloon has an absolute-pressure sensor attached. On the ground the sensor reads PA = 1.01×105 Pa. At a height of h = 968 m, the sensor reads PB = 8.88×104 Pa. a) Assuming air is an incompressible fluid, enter an expression for an estimate of the density of air, in terms of the defined quantities and the acceleration due to gravity, g.  b ) Calculate the density of air, in kilograms per cubic meter, assuming it is an incompressible fluid.

A water line with an internal radius of 6.89 x 103 m is connected to a shower head that has 12 holes. The speed of the water in the line is 0.982 m/s. (a) What is the volume flow rate in the line? (b) At what speed does the water leave one of the holes (effective hole radius = 3.14 x 104 m) in the head? (a) Number i (b) Number i Units Units

Problem 3: A cube with edges of length L = 0.29 m and density p.= 3.9x10 kg/m is totally submerged in water, with a density of pw = 1.00×103 kg/m, and oil, with a density of p, = 0.84x10° kg/m, as shown in the figure. The cube is submerged in the water to a depth of d = 0.055 m, while the rest of the cube is in oil. The cube is suspended by a taut string and is in static equilibrium. Po Pw Part (a) Which of the following figures shows the correct free-body diagram for the cube for the vertical forces acting on it? +T T F. F. B M+ Submit I give up! Hint Feedback Part (b) Enter an expression for the magnitude of the weight of the cube, in terms of pe, L, and the acceleration due to gravity, g. Part (c) Calculate the magnitude of the weight of the cube, in newtons Part (d) Enter an expression for the magnitude of the buoyant force acting on the cube, in terms of pw. Po: L, d, and g. Part (e) Calculate the magnitude of the buoyant force, in newtons. Part (f) Enter an expression for the…

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 33.0 m. Assume the density of the water is 1.00 x 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 29.0 cm? N Need Help? Read It

A submarine is stranded on the bottom of the ocean with its hatch 25 m below the surface. In this problem, assume the density of sea water is 1.03 × 103 kg/m3.  Calculate the force, in newtons, needed to open the hatch from the inside, given it is circular and 0.35 m in diameter. The air pressure inside the submarine is 1.00 atm. F =

Consider a 3.9 kg freshwater fish whose tissues have an average density of 1050 kg/m^3. Part A To what volume in mL must the swim bladder be inflated for the fish to be neutrally buoyant at the surface? Part B What volume of air would have to be added to the swim bladder for the fish to remain neutrally buoyant at a depth of 20 m?

An object made of iron appears 300 N lighter in water than in air. The density of iron is equal to 7870 kgm-3 , and the density of water is 1000 kgm-3 . a) What is the volume of the object? b) What is the object’s weight in air?