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.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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.
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
@n = 30 rad/s
Wn = 14. 14 rad/s
Wn = 28. 28 rad/s
On = 20 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 @n = 30 rad/s Wn = 14. 14 rad/s Wn = 28. 28 rad/s On = 20 rad/s
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