Root Mean Square Acceleration Calculator

RMS (Root Mean Square) acceleration is the effective or equivalent value of a varying acceleration signal. For a sinusoidal vibration, the RMS value represents the constant acceleration that would produce the same energy or power as the fluctuating signal over time.

The factor 0.7071 is the square root of one-half. For a pure sinusoidal signal, the RMS value equals the peak value divided by the square root of 2. This mathematical relationship comes from averaging the squared values of the sine wave over one complete cycle.

No. The 0.7071 factor applies only to pure sinusoidal (sine wave) signals. For random vibration, complex waveforms, or signals with multiple frequency components, the RMS must be calculated by integrating the squared signal over the measurement period.

RMS acceleration is widely used in vibration analysis, mechanical engineering, and product testing. It helps assess structural fatigue, evaluate ride comfort in vehicles, specify vibration limits for sensitive equipment, and characterize seismic activity.