RMS to Watts Converter
Convert between RMS watts and peak watts for audio equipment using the sine wave power formula.
RMS to Watts Converter
The RMS to Watts Converter converts between RMS watts and peak watts for audio amplifiers and speakers. RMS (root mean square) describes continuous power handling, while peak watts describe the maximum instantaneous output. See also Power Converter.
Conversion Formulas
$$\text{Peak W} = \text{RMS} \times \sqrt{2}$$
$$\text{RMS} = \frac{\text{Peak W}}{\sqrt{2}} \approx \text{Peak W} \times 0.7071$$
Frequently Asked Questions
What is RMS watts?
RMS watts express the continuous power a device can handle. For a sine wave, RMS is always lower than peak wattage.
How do I convert 100 RMS to peak watts?
Multiply by $\sqrt{2}$: $100 \times 1.4142 \approx 141.4$ peak watts.
How many RMS watts is 500 peak watts?
Divide by $\sqrt{2}$ or multiply by 0.7071: $500 \times 0.7071 \approx 353.5$ RMS watts.
Does this work for any audio signal?
The $\sqrt{2}$ factor assumes a pure sine wave. Complex signals may need manufacturer specifications.
Which value should I match to an amplifier?
Match amplifier RMS output to speaker RMS rating for safe continuous playback. Peak ratings matter for short bursts.