A thin U-tube with a horizontal length of 25 cm contains water. In the right branch, a 10 cm column of oil is poured. Determine the horizontal acceleration with which the U-tube must move so that the liquid levels in the two vertical branches are the same. If at a certain moment the tube stops accelerating and maintains a constant velocity, determine the height difference between the oil level and the water level in the two vertical tubes. Assume that the 10 cm column of oil is always in the vertical tube. Consider: Pwater 1000 kg/m³ and Poil = 750 kg/m³. = 3
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- A Venturi meter is a device for measuring the speed of a fluid within a pipe. The drawing shows a gas flowing at speed v2 through a horizontal section of pipe whose cross-sectional area is A2 = 0.0937 m2. The gas has a density of ρ = 1.30 kg/m3. The Venturi meter has a cross-sectional area of A1 = 0.0234 m2 and has been substituted for a section of the larger pipe. The pressure difference between the two sections is P2 - P1 = 149 Pa. Find (a) the speed v2 of the gas in the larger original pipe and (b) the volume flow rate Q of the gas. I posted it just now and recieved the wrong answers so i'm asking again. The answers are not A) 1.87 and B) 0.157.You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.215 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.Please answer A-C
- A round pipe of varying diameter carries petroleum from a wellhead to a refinery. At the wellhead, the pipe's diameter is 53.5 cm and the flow speed of the petroleum is 13.1 m/s. At the refinery, the petroleum flows at 5.25 m/s. What is the volume flow rate of the petroleum along the pipe, and what is the pipe's diameter at the refinery? volume flow rate: m³/s diameter: cmYou come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.200 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.3 cm2, and the right arm has a cross-sectional area A2 of 4.70 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b. (a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? cm
- 3.55 Verify Stokes's theorem B = (f cos ø + þ sin ø) by evaluating: for the vector field f (a) B · dl over the path comprising a quarter section of a circle, as shown in Fig. P3.55, and (b) | (V x B) · ds over the surface of the quarter section. S y (0, 3) L1 (-3, 0) L3 Figure P3.55 Problem 3.55.A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.9 of 11 Water, with a density of p = 1135 kg/m³, flows in a horizontal pipe. In one segment of the pipe, the flow speed is U1 = 6.13 m/s. In a second segment, the flow speed is v2 = 3.37 m/s. What is the difference between the pressure in the second segment (P2) and the pressure in the first segment (P1)? P2 – P1 = %3D
- Problem 3: Water flows through a horizontal cylindrical pipe from a smaller-diameter region to a larger-diameter region. At point A, where the pipe's diameter is 3.5 cm, the water's speed at 25.0 m/s. At point B, the pipe's diameter is 7.0 cm. (a) What is the water's speed at point B? (b) What is the pressure difference between points A and B? Which point has the greater pressure?The lower section of a constricted pipe has a diameter of 8 cm. The upper section of the pipe, located 0.1 m above the lower section, has a diameter of 3 cm. The pressure at the lower section is 2.1 ×× 104 Pa, while the pressure in the upper section is 1 ×× 104 Pa. Assuming water moves through the pipe in a steady flow, calculate the speed (in m s-1) of the flow in the lower section. The density of water is 1000 kg m-3A level (horizontal) pipe contains a non-viscous, incompressible fluid with a density 1200 kg/m³ that is flowing steadily. At one position within the pipe, the pressure is 300 x 103 N/m2 and the speed of the flow is 20.0 m/s. At another position, the pressure is 200 x 103 N/m². What is the speed of the flow at this second position?