Problem *4.122CS(moves at speed U)yxcdRxRyGiven:Water jet striking moving vaneFind:Force needed to hold vane to speed U = 5 m/sSolution:Basic equations: Momentum flux in x and y directionsAssumptions: 1) Steady flow 2) Incompressible flow 3) Atmospheric pressure in jet 4) Uniform flow 5) Jet relative velocity is constantThenRxu1ρ−V1⋅A1⋅()⋅u2ρV2⋅A2⋅⋅+=VU−−ρ−⋅A⋅⋅−() cosθ⋅ρ−⋅A⋅⋅+=Rxρ−2A⋅cosθ() 1−⋅=Aπ4401000m⋅⎛⎝⎞⎠2⋅=A1.26103−×m2=Using given dataRx1000kgm3⋅255−ms⋅⎡⎣⎤⎦2×1.26×103−×m2⋅cos 150 deg⋅1−×Ns2⋅kg m⋅×=Rx940−
This is the end of the preview. Sign up
access the rest of the document.
This note was uploaded on 08/25/2011 for the course AME 331 taught by Professor Zohar during the Fall '08 term at Arizona.