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An orifice is located at the end of a 4-in.-diameter pipe. Water flows through t

ID: 2996691 • Letter: A

Question

An orifice is located at the end of a 4-in.-diameter pipe. Water flows through the and orifice at Q = 20 ft*/s. The diameter of the water jet downstream from the orifice 1.5 in. Use the volume flow rate, Q = VA, find the upstream inlet and downstream water jet Draw a control volume enclosing the pipe and part of the water jet and attach to the pipe a reaction force in the horizontal direction, Rx- The exact location of the force not important for this problem. . Use the momentum equation to find Rx (Neglect the friction on the pipe wall, pressure provided in figure below is the gage pressure at the inlet of the pipe, and density is 1.94 slug/ft3)

Explanation / Answer

SINCE WE HAVE Q= 20 FT3/SEC

DIAMETER OF PIPE= 4/12= .33 FT

DIAMETER OF DOWN STREAM= 1.5/12=.125 FT

SINCE Q= V*A

20= V*(? *.1252/4)

V=1629.74 ft/sec

C) RX= M/S? v2 = 20/? *.332/4*1.94*16292

Rx=4.54 x10-5

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