18 Ex. What is the gauge pressure and absolute pressure at a point 10 Ex. What is the gauge pressure and absolute pressure at a point 10.0 m below the surface of the ocean. The density of seawater is 1025 kg/m3.
19 Ex. Do both the gauge pressure and absolute pressure increase by a factor of two if the depth of an object below the surface of a liquid is doubled?
20 Ex. A flat piece of wood with an area of 0 Ex. A flat piece of wood with an area of 0.50 m2 is lying at the bottom of a lake. If the depth of the lake is 30.0 m, what is the force on the wood due to the pressure?
24 In words Any fluid applies a buoyant force to an object that is partially or completely submerged in the fluid. The magnitude of the force is equal to the weight of the water displaced by the object.
27 Ex. An object with a mass of 150 kg and a volume of 0 Ex. An object with a mass of 150 kg and a volume of 0.75 m3 floats in ethyl alcohol (ρ = 800 kg/m3). What fraction of the object’s volume is above the surface of the fluid?
28 Ex. A brick with a mass of 3. 0 kg and volume of 0 Ex. A brick with a mass of 3.0 kg and volume of m3, is dropped in swimming pool full of water. What is the normal force on the brick when it lays on the bottom of the pool?
29 Ex. A glass sphere with a density of 2500 kg/m3 and volume of 0 Ex. A glass sphere with a density of 2500 kg/m3 and volume of m3 is completely submerged in a large container of water. What is the apparent weight of the sphere while immersed?
30 Ex. A helium balloon has a volume of 0. 03 m3 Ex. A helium balloon has a volume of 0.03 m3. What is the net force on the balloon if it is surrounded by air? The density of helium is 0.2 kg/m3 and the density of air is 1.2 kg/m3.
31 II.A.3 – Flow Rate and The Equation of Continuity
32 Volume flow rate – if a fluid is incompressible, the volume of fluid that flows through a tube during a given time interval is constant
35 Since volume flow rate (Av) is constant, the speed is inversely proportional to the cross-sectional area (i.e. the square of the radius).
36 Ex. A pipe of non-uniform diameter carries water Ex. A pipe of non-uniform diameter carries water. At one point in the pipe, the radius is 2.0 cm and the flow speed is 6.0 m/s. a) What is the flow rate? b) What is the flow speed at a point where the pipe constricts to a radius of 1.0 cm?
37 Ex. If the diameter of a pipe increases by a factor of 3, by what factor will the flow rate change?
38 II.A.4 Bernoulli’s Equation – complete with extended proof