7. A horizontal pipe with circular cross-section delivers 4 kg of water per second. The diameter of the pipe is 0.10 meter, except at a certain section, where the pipe widens to a diameter of 0.20 meter. Assume that the fluid is non- viscous and incompressible and that the flow is laminar. a) What is the difference in water pressure between the wide and narrow sections of pipe? b) Is the narrow section at higher or lower pressure than the wide section?
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- 8. A piece of copper has a mass of 2.6 kg. a. What is the volume of this piece of copper?b. The copper is then totally submerged in water. What is the buoyant force acting on it? c. What is the piece of copper’s apparent weight in the water?3. What is the laminar flow rate of water in a pipe with an internal radius of r and a length of L m if the pressure difference across the pipe is 2.0 kPa? The water in the pipe has a viscosity of approximately 0.6 mPa-s. let r =2.5 cm let L=0.5m Describe the effect on the flow rate given each of the following changes. Each change is to the original system and all other variables are held constant. The radius decreases The pipe length decreases The fluid viscosity decreases The pressure difference decreasesSP5. A pipe with a circular cross section has a diameter of 9 cm. It narrows at one point to a diameter of 5.2 cm. The pipe is carrying a steady stream of water that completely fills the pipe and is moving with a speed of 1.6 m/s in the wider portion. a. What are the cross-sectional areas of the wide and nar- row portions of the pipe? (A = ar", and the radius is half the diameter.) b. What is the speed of the water in the narrow portion of the pipe? c. Is the pressure in the narrow portion of the pipe greater than, less than, or equal to the pressure in the wider portion? Explain.
- 2. Water flows through a fire hose of diameter 6.35 cm at a rate of 0.012 m³/s. The fire hose ends in a nozzle of inner diameter 2.20 cm. What is the speed with which the water exits the nozzle?9. A liquid is flowing through a horizontal pipe whose radius is 2.22 x10-2 m. The pipe bends straight upward through a height of 9.8 m and joins another horizontal pipe whose radius is 3.82 x10-2 m. What is the speed of the liquid in the lower horizontal pipe if the pressure in both horizontal pipes is the same? x L0228) m/s10. A 40 kg mass is attached to one end of a spring, which has a spring constant of 700 N/m. The other end of the spring is attached to the bottom of a full tank of water. The mass has a volume of 0.25 m3 and is completely submerged in the water.a. Will the mass float, sink, or remain stationary?b. If the mass sinks or floats, determine how far the spring will compress or stretch?
- 4.0 mm 16. Consider the following diagram. (let air be an ideal, incompressible fluid) 2.0 cm 1200 cm'/s a. If the air is found to have a flow rate of 1200 cm3/s as it leaves the 4.00 mm diameter pipe, what is the velocity of the air in both segments of the pipe? b. If the density of air is 1.28 kg/m3 and the end of the pipe on the right opens up to the atmosphere, what is the pressure of the pipe at the 2.00 cm diameter section? C. If the fluid in the bottom of the U-tube is mercury with a density of 13,600 kg/m3 what is the difference between the surface levels of both sides of the tube, marked as h in the diagram?A raft has dimensions 7.0 m x 7.0 m with a thickness of 1.0 m and made of material with average density 650 kg/m3. a. When floating in water, what percentage of the volume is under water? b. What is the pressure underneath the raft? c. How heavy of a load is necessary to cause the raft to be 80% submerged in water? d. If the raft is made with a different material of lower density and 80% of it is still submerged, how if at all would your answers to (a), (b) and (c) change? e. , explain how, if at all, the answer to (b) is related to the buoyant force. f. Imagine that the load increases enough to fully submerge and then sinks the raft to the bottom of the lake. How, if at all, does the buoyant force vary during this process?3. Water at a pressure of 4.30 atm at street level flows into an office building at a speed of 0.75 m/s through a pipe 4.60 cm in diameter. The pipes taper down to 1.70 cm in diameter by the top floor, 22.0 m above. Calculate the water pressure in such a pipe on the top floor. Pa