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# Answer to Question #98651 in Mechanical Engineering for Noah

Question #98651
A hydrostatic bearing is used to rotate a load. The load 500kN, fluid viscosity 500 mPa-s. The bearing has an outside diameter of 500mm and an inside diameter of 400mm.

a) What flow Q is required if the film thickness is 1mm?
b) What Pressure is required?
c) what is the friction torque if it is rotated at 3 rad/s?
1
2019-11-18T08:25:23-0500
"Fout=\\pi*D^2\/4=3.1415*500\/4=196343.75"

"Fin=\\pi*d^2\/4=3.1415*400^2\/4=125660"

"\\Delta F=Fout-Fin=70683.75"

"Feff=Fin+0.5*\\Delta F=125660+0.5*70683.75=161002"

PRESSURE

"p=N\/Feff=500000N\/161002mm^2=3.11MPa"

FLOW

"Q=(p*h^3\/(12*\\rho))*((D-d)\/2)*(1\/(\\pi*D))=3.11MPa*(1mm)^3*(500mm-400mm)\/(12*500*10^(-9) MPa*s*2*3.1415*500mm)=16500mm^3\/s=0.0165l\/s"

FRICTION TORQUE

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