i. The velocity of water at the outer edge of a whirlpool where the water level is horizontal and in the same level as the bulk of the liquid is 2 m/s and the diameter is 50 cm. Calculate the depth of water free surface at a diameter of 10 cm from the eye of the whirlpool.
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- 10. A sheet of glass shaped like the right triangle is submerged in water as shown below. water's surface 5 m 3 m 4 m (a) Find the hydrostatic force on the plate. Recall that the density of water is 1000 kg/m³ and the acceleration due to gravity is g 9.8 m/s? (b) The density of the glass depends on the depth of the water, and is given by p(y) = (4+ y/2)g/m², where y is the depth below the surface. Find the mass of the glass.If the column of mercury in a barometer stands at 73.0 cm, what is the atmospheric pressure in kiloPascals (kPa)? (The density of mercury is 13.6 × 10^3 kg/m3 and g = 9.80 m/s^2) Given 1kPa=1000Pa A. 97 kPa B. 970 kPa C. 97000 kPa D 9.7 kPa E. 9700 kPa24) As shown in the figure, a large open tank contains a layer of oil (density 450 kg/m) 24) floating on top of a layer of water (density 1000 kg/m3) that is 3.0 m thick, as shown in the sketch. What must be the thickness of the oil layer if the gauge pressure at the bottom of the tank is to be 8.5 x 104 Pa? oil 3.0 m water Sketch: Fguations: Dah
- SP5. 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.1. A nozzle with a diameter of 0.500 cm is attached to a garden hose with a radius of 0.900 cm. Water was flowing horizontally and frictionless from the garden hose at 1.50 m/s. If the absolute pressure in the nozzle is 1.01 x 105 N/m² (atmospheric, as it must be), what is the exit pressure in the hose? (modified from Ling et al., 2018, Example 14.5)9. A dairy farmer notices that a circular water tank near the barn has become rusty and now has a hole near the base. The hole is 0.30 m below the level of the water that is in the tank. If the top of the tank is open to the atmosphere, what is the speed of the water as it leaves the hole? a. 1.7 m/s b. 3.0 m/s c. 2.4 m/s d. 2.8 m/s e. None of the above
- P15) A large tank containing a mystery liquid is filled to a depth of L = 15 m. The upper surface of the liquid is exposed to the atmosphere (of density 1.2 kg/m3). A pipe of cross-sectional area Ain = 0.01 m2 is inserted in to the liquid. The other ’outlet’ end of the pipe, of smaller cross sectional area Aout = 0.0001 m2, is placed outside the liquid at a height of h = 2 m below the surface of the liquid. Fluid begins to flow out of the outlet. See details in image and keep 3 significant figures for answers.1. What is the ratio of the cross-sectional area at point 1 to the cross-sectional area at point 2? A1/A2= 2. What is the difference in pressure between points 1 and 2? (Find P2 - P1)P2 - P1 = 3. Which direction is the water flowing through the pipe?A glass container weighing 4 N has of water and a 1 N block of styrofoam (100 kg/m3) that is held underwater by a rope. The rope is cut. 1. What is the acceleration of the block? (ignore friction). 2. What happens to the water level?