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- How do you find the external forces' resultant?1. A downward force of 100 N is applied to the small piston with a diameter of 50 cm in the hydraulic lift system shown below.a. What is the upward force exerted by the large piston with a diameter of 2m?b. What is the mechanical advantage of this hydraulic lift?c. If the input force of 100N pushes the small piston down by 2m, how high will the large piston rise? 2. Water flows through a circular pipe with a constant radius of 10cm. The speed and pressure at point A is 4m/s and 250,000Pa respectively.a. What is the speed of the fluid at Point B? b. What is the pressure at point B which is 10m higher than point A?Fluid Mechanics The three-arm lawn sprinkler shown in the figure receives water through the center. if the torque due to collar friction is 0.9 N-m, determine the minimun flow rate of the water (in m^3/h) required to overcome this torque and spin the sprinkler.
- A pipe of diameter 11 cm conveying 200 liters/s of water has bend of angle (θ = 90⁰if last digit is zero/even and θ = 0⁰ if last digit is odd) through horizontal plane. Find theresultant force exerted on the bend if the pressure at the inlet and outlet of the bend are 15N/cm2 and 10 N/cm2respectively.As can often be seen in a kitchen sink when the faucet isrunning, a high-speed channel fl ow ( V 1 , h 1 ) may “jump” toa low-speed, low-energy condition ( V 2 , h 2 ) as in Fig. . The pressure at sections 1 and 2 is approximately hydrostatic,and wall friction is negligible. Use the continuity andmomentum relations to fi nd h 2 and V 2 in terms of ( h 1 , V 1 ).How do you find the external forces' resultant and the application point?
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- Air flows steadily into the square inlet of an air scoop with the non-uniform velocity profile as shown in the figure. Theair exits with a uniform velocitythrough a round pipe1-ft in diameter.Finda) the outlet/exit velocity and b) momentum flux (in vector form) at the pipe outlet. Assume air to be incompressible for this flow.γair= 0.0765 lbf/ft3.A piece of string 9.8 m long weighs 45.7 N. Find how fast a wave will travel on this string, if a tension of 917 N. is applied to it.A pump is installed in a pipe system, where at the suction side 1.0 m below the pump, an open manometer reads a vacuum of 20 cm of mercury. The pipe is 10 cm in diameter and the flow is 35 L/s of water. Find the total energy at the location of the manometer, relative to a datum, through the pump. include your free body diagram A.12.74 m B.-4.67 m C.-2.72 m D.2.56