Power factor in mechanical system is a new concept to express characteristic in mechanical system. It defines dynamic behavior of the impedance characteristic in the motion. However, conventional derivation method requires short-time Fourier transformation in order to consider random input in mechanical system as a combination of sinusoidal waves. This paper proposes a novel method to obtain power factor in mechanical system. The proposed method is technically a simplified version of short-time Fourier transformation algorithm, but it does not require any Fourier transformation or complex calculations. The theory is supported by experimental comparison of the results.