Question 5 A pipe has a radius of 10 cm, and the fluid flowing through this pipe is 15 m/s. The pipe bends downwards and falls 5 m. Given the density of the fluid in this pipe is 800 kg/m³, calculate the difference in pressure between the beginning and end of this pipe.
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
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- Water flows with a constant speed through a pipe of constant cross-sectional area in the ground floor (y1=0m) of a house. The pipe rises (y2=5.0m) to reach a shower head on the second floor. The pressure at ground level is 140kPa. a) what is the pressure at the shower head? b) what is the maximum height that water from the ground level could reach?A water pipe having a 2.59 cm inside diameter carries water into the basement of a house at a speed of 0.770 m/s and a pressure of 213 kPa. If the pipe tapers to 1.31 cm and rises to the second floor 6.71 m above the input point, A) What is the speed of the water at the second floor? B) What is the water pressure at the second floor?A container filled with water and there are two holes, as shown in figure below. What is the ratio of x1 to x2? 20 cm 100 am 50 cmB X1 X2 13. Given frictionless flow of water at 125.6 ft'/s in a long, horizontal, conical pipe of diameter 2ft at one end and 6ft at the other. The pressure head at the smaller end is 18ft of water. Find the velocities at two ends and the pressure head at the larger end.
- Water flows through a horizontal tapered pipe. At the wide end its speed is 4.00 m/s and at the narrow end it is 5.00 m/s. The pressure in the wide pipe is 2.50x105 Pa. What is the pressure in the narrow pipe? 4.50x10³ Pa O 2.45x105 Pa 8.00x105 Pa O 3.40x10³ Pa O 2.50x10² Pa4. When your urinary bladder is full, the bladder pressure can reach up to 60 mm H20. What is this pressure in units of Pascal? b. Assuming that there is no height difference between your urinary bladder and where your urine comes out, calculate the speed at which your urine comes out. The density of urine is 1030 kg/m³. If the diameter of a urethra is 6 mm, estimate the volume flow rate of urine as it comes out in units of liters per second. d. a. С. If a full bladder constitutes 500 mL of urine, how long will it take you to remove all of the urine from your bladder? The answer in part (d) is somewhat a realistic time for peeing? What should we factor in in order to make it more realistic? е.A large diameter closed top tank is filled with a depth of 3 meters of a fluid (density 1200 kg/m3). A small pipe leading from the bottom of the tank must carry the fluid some height above the fluid level in the tank. a) If a pressure of 2.5 Atmospheres is maintained in the space above the fill line in the tank how high above the fill line can the pipe carry the fluid and still provide an exit speed of 2 m/sec for the fluid out of the pipe? (the pressure at the exhaust end of the pipe is 1 atmosphere or about 1 x 105 pascal) If the pipe diameter is 2 cm, what will be the volume rate of flow (m3 /sec)
- A popular pool toy allows the user to push a plunger to compress water in a barrel with a diameter of 3.5 cm. The water is compressed with a speed of 1.9 m/s and emerges from a small opening with a speed of 12 m/s. What is the diameter (in mm) of the opening? Assume the toy is oriented horizontally. mmProblem 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?Water is flowing in a pipe at 10 gallons/minute. The radius of the pipe increases by 50% and the pressure difference remains constant. What is the new flow rate?
- 2. DETAILS S An incompressible fluid flows with velocity 12.00m through a round pipe with radius 2.30cm. If the pipe changes size and has a new, smaller radius of 0.20cm, what is the speed of the fluid moving through the narrower segment of pipe? m S What is the total volume flow rate for this pipe, in units of O 19.94- 11965698.10 L min L min L min 0.02- 1196.57- L min 1.20- L min L min MY NOTES (1000L=1m³ )? ASK YOUR TEACHERWater (density = 1 x 103 kg/m³) flows at 10 m/s through a pipe with radius 0.030 m. The pipe goes up to the second floor of the building, 2.0 m higher, and the pressure remains unchanged. What is the radius of the pipe on the second floor? 0.018 m 0.026 m O 0.034 m Ⓒ 0.042 mA round pipe of varying diameter carries petroleum from a wellhead to a refinery. At the wellhead, the pipe's diameter is 50.9 cm (0.509 m) and the flow speed of the petroleum is 10.1 m/s. At the refinery, the petroleum flows at 6.23 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: cm