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Introduction to Electric Motors
Published in Wei Tong, Mechanical Design and Manufacturing of Electric Motors, 2022
Root mean square (RMS), which is defined as the square root of the mean square, is a mathematical measure of the magnitude of a varying quantity. It can be applied to either a series of discrete values or a continuous time-varying function.
Alternating Current (ac) Electronics
Published in Dale R. Patrick, Stephen W. Fardo, Electricity and Electronics Fundamentals, 2020
Dale R. Patrick, Stephen W. Fardo
Two other important terms are RMS value and average value. RMS stands for root mean square and is equal to 0.707 times peak value. RMS refers to the mathematical method used to determine effective voltage. RMS voltage and effective voltage are the same. Average voltage is the mathematical average of all instantaneous voltages that occur at each period of time throughout an alternation. The average value is equal to 0.636 times the peak value.
Noise and vibration
Published in Sue Reed, Dino Pisaniello, Geza Benke, Kerrie Burton, Principles of Occupational Health & Hygiene, 2020
Sound pressure variations of a pure tone fluctuate so that for half the duration of a complete cycle they are above (+) and the other half they are below (–) atmospheric pressure. The average pressure fluctuation is zero, since there are as many positive changes as negative ones. To overcome this, the average pressure is squared over a large number of cycles and the square root taken. The resulting value, the root mean square (rms), is used in sound level measurements, as it is proportional to the energy content of the sound wave. For pure tones, the rms is equal to 0.707 times the amplitude (volume) of the sine wave.
Effect of hydroxy gas enrichment on vibration, noise and combustion characteristics of a diesel engine fueled with Foeniculum vulgare oil biodiesel and diesel fuel
Published in Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 2018
Vibration data of the engine were evaluated as RMS (root-mean-square) values of the test engine along x (longitudinal), y (lateral) and z (vertical) axes. RMS is a measure for evaluation of the combination of vertical (ax), lateral (ay) and longitudinal (az) vibration accelerations.
A novel single-phase AC–DC bridgeless boost converter for PFC application
Published in International Journal of Electronics Letters, 2018
The voltage and current stresses are provided in Table 1 as a reference for selecting components and calculating relevant power losses. Note that, avg represents the average value, and rms represents the root-mean-square value.