An unbalanced centrifugal pump of mass 50kg produces an out-of-balance force of 2kN and is supported by four springs. Each spring has stiffness constant 10KN/m as shown. If the pump operates at 800rpm, determine the natural frequency of the system. Pump O wn = 30 rad/s O wn 20 rad/s Own = 28. 28 rad/s O wn 14. 14 rad/s

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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter10: Heat Exchangers
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Problem 10.19P
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An unbalanced centrifugal pump of mass 50kg produces an out-of-balance force of
2kN and is supported by four springs. Each spring has stiffness constant 10KN/m as
shown. If the pump operates at 800rpm, determine the natural frequency of the
system.
Pump
O wn = 30 rad/s
Wn=20 rad/s
28. 28 rad/s
O wn
14. 14 rad/s
Transcribed Image Text:An unbalanced centrifugal pump of mass 50kg produces an out-of-balance force of 2kN and is supported by four springs. Each spring has stiffness constant 10KN/m as shown. If the pump operates at 800rpm, determine the natural frequency of the system. Pump O wn = 30 rad/s Wn=20 rad/s 28. 28 rad/s O wn 14. 14 rad/s
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