In: Mechanical Engineering
An unbalanced engine mounted on an elastic support imposes a periodic vertical force on the support at the rotational frequency of the engine. In order to determine the relationship between the engine rotational frequency and the resonance frequency of the elastically supported engine, the engine run speed was slowly increased from its normal value of 550 rpm to 825 rpm, which resulted in a trebling of the amplitude of the measured displacement. No resonance was observed in the displacement response in the range of speeds investigated. Assuming that the damping present in the existing elastic support is negligible, determine: The natural frequency of the elastically supported engine is ----- rad/s?