Glycerine flows steadily through a horizontal pipe of length 1.2 m and diameter 2 cm. If the amount of glyc- erine collected at one end is 3.14 × 10³ kg s, find the pressure difference between the ends of the pipe. Density of glycerine = 1.2 × 10 kg m³. Viscosity of glycerine = 0.8 N sm2 S
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- On another planet that you are exploring, a large tank is open to the atmosphere and contains ethanol. A horizontal pipe of cross-sectional area 7.0×10−4m27.0×10−4m2 has one end inserted into the tank just above the bottom of the tank. The other end of the pipe is open to the atmosphere. The viscosity of the ethanol can be neglected. You measure the volume flow rate of the ethanol from the tank as a function of the depth hh of the ethanol in the tank. If you graph the volume flow rate squared as a function of hh, your data lie close to a straight line that has slope 2.09×10−5m5/s22.09×10−5m5/s2. What is the value of gg, the acceleration of a free-falling object at the surface of the planet? Express your answer with the appropriate units.A meat baster consists of a squeeze bulb attached to a plastic tube. When the bulb is squeezed and released, with the open end of the tube under the surface of the basting sauce, the sauce rises in the tube to a distance h, as the drawing shows. Using 1.013 × 105 Pa for the atmospheric pressure and 1340 kg/m³ for the density of the sauce, find the absolute pressure PB in the bulb when the distance h is (a) 0.16 m and (b) 0.08 m. (a) PB = (b) PB = i <At 20°C, the viscosity of water is 1.0x10-3 Pa-s and the viscosity of molasses is 51 Pa-s. Consider two tubes of the same length L, with fixed pressure difference Ap across each pipe. If water flows through Pipe 1 and molasses flows through Pipe 2, and both have the same flow rate Q, what is the ratio of the radius of Pipe 2 to Pipe 1?
- A brine solution with a density of 1230 kg/m³ moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is P₁ = 2.00 × 104 Pa, and the pipe diameter is 5.00 cm. At another point y = 0.40 m higher, the pressure is P₂ = 1.00 × 104 Pa and the pipe diameter is 2.50 cm. P₁ (a) Find the speed of flow (in m/s) in the lower section. m/s (b) Find the speed of flow (in m/s) in the upper section. m/s (c) Find the volume flow rate (in m³/s) through the pipe. m³/s(a) A submersible vehicle is in a lake at a depth of 32.4 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa. (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)1a) Calculate the mass of a solid gold rectangular bar that has dimensions lwh = 4.80 cm ✕ 14.0 cm ✕ 23.0 cm. (The density of gold is 19.3 ✕ 103 kg/m3.) kg = 1b) The four tires of an automobile are inflated to a gauge pressure of 2.1 105 Pa. Each tire has an area of 0.024 m2 in contact with the ground. Determine the weight of the automobile. N =
- Question 2. Water pipe with an inside diameter of 4.80 cm carries water at an ab- solute pressure of 5.60 x 10 Pa from the basement into the fourth floor of a house. The fourth floor is 9.50 m above the basement and the diameter of the pipe on the fourth floor is 2.50 cm and the water pressure is 4.25 x 105 Pa. a) Find the speed of flow as water enters from the basement. b) Find the speed of flow in the fourth floor. c) Find the volume flow rate through the pipe.The figure below shows a horizontal pipe with a varying cross section. A liquid with a density of 1.65 g/cm³ flows from left to right in the pipe, from larger to smaller cross section. The left side's cross-sectional area is 10.0 cm², and while in this side, the speed of the liquid is 2.72 m/s, and the pressure is 1.20 × 105 Pa. The right side's cross sectional-area is 4.00 cm². (a) What is the speed (in m/s) of the liquid in the right side (the smaller section)? (Enter your answer to at least three significant figures.) m/s (b) What is the pressure (in Pa) of the liquid in the right side (the smaller section)? PaA meat baster consists of a squeeze bulb attached to a plastic tube. When the bulb is squeezed and released, with the open end of the tube under the surface of the basting sauce, the sauce rises in the tube to a distance h, as the drawing shows. Using 1.013 × 105 Pa for the atmospheric pressure and 1470 kg/m3 for the density of the sauce, find the absolute pressure PB in the bulb when the distance h is (a) 0.18 m and (b) 0.09 m. A cylindrical storage tank has a radius of 1.08 m. When filled to a height of 3.27 m, it holds 13100 kg of a liquid industrial solvent. (c) What is the density of the solvent?
- A pumping station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7.40 x 102 kg/m3, the inlet and outlet tubes, respectively, have a radius of 2.80 cm and 1.40 cm, and the difference in input and output pressure is P, - P, = 1.20 kPa. (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/sA hospital patient receives a 600-cc blood transfusion through a needle with a length of 5cm and an inner diameter of 1mm. If the blood bag is suspended 0.75m above the needle, how long will the transfusion take? (You can neglect the viscosity of the blood flowing in the plastic tube between the bag and the needle. Note also that 1 cc = 10-6 m3and that blood has a mass density of ρ = 1060kg m-3 and a molecular viscosity of μ = 3.5 x 10-3 kg m-1 s-1).