An electric motor delivers 4 kW power at 1725 Rpm its rotating speed. The motor is mounted on 4 springs with Stiffness constant of k= 15 kN/m for every spring. The motor has a mass of 220 kg, and with radius of gyration of its mass center G is 115 mm. In operational, there will be an equilibrium that the springs deflections are accommodating the electric motor torque. Determine : (a) The Natural Frequency of this electric motor for its oscillation vibration motion in up and down directions (fny, as well as (fn)s in rotational directions about its mass center G, when the motor is still turned OFF.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An electric motor delivers 4 kW power at 1725 Rpm its
rotating speed. The motor is mounted on 4 springs with
Stiffness constant of k= 15 kN/m for every spring. The motor
has a mass of 220 kg, and with radius of gyration of its mass
center G is 115 mm. In operational, there will be an equilibrium
that the springs deflections are accommodating the electric
motor torque.
Determine :
S20 mm
(a) The Natural Frequency of this electric motor for its oscillation vibration motion in up
and down directions (fn)y, as well as (fn)8 in rotational directions about its mass center
G, when the motor is still turned OFF.
Transcribed Image Text:An electric motor delivers 4 kW power at 1725 Rpm its rotating speed. The motor is mounted on 4 springs with Stiffness constant of k= 15 kN/m for every spring. The motor has a mass of 220 kg, and with radius of gyration of its mass center G is 115 mm. In operational, there will be an equilibrium that the springs deflections are accommodating the electric motor torque. Determine : S20 mm (a) The Natural Frequency of this electric motor for its oscillation vibration motion in up and down directions (fn)y, as well as (fn)8 in rotational directions about its mass center G, when the motor is still turned OFF.
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