5. Ethyl alcohol moves through a 6.0 cm diameter pipe that is resting on the ground. The ethyl alcohol in the ground-level section of the pipe is moving with a pressure of 86.0 kPa. The pipe then rises a vertical distance of 2.0 m and reduces in diameter to 4 cm. The pressure of the ethyl alcohol in the 4 cm diameter section is measured to be 29.3 kPa. (You will need both Continuity and Bernoulli's Equations!) 1 4.0 cm a. Find the speed of the fluid in the ground-level section of the pipe. Find the speed of the fluid in the higher section of the pipe. b. 2.0 m {not to scale) 6.0 cm

Chapter 12 Fluid Mechanics A 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?

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 ✕ 105 Pa and the pipe radius is 2.60 cm. At the higher point located at y = 2.50 m, the pressure is 1.29 ✕ 105 Pa and the pipe radius is 1.40 cm. a) Find the speed of flow in the lower section. b) Find the speed of flow in the upper section. c) Find the volume flow rate through the pipe.

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.