# Amplitude Sentence Examples

- In both cases the
**amplitude**of the oscillations decreases more or less rapidly. - (25) The sum of the disturbance is obtained by adding (24) and (25) y = y l +y 2 = 2a cos Ut s i n 57 x, (26) At any given instant t this is a sine curve of
**amplitude**2a cos (27r/A)Ut, and of wave-length A, and with nodes at x = o, a A, A, ..., that is, there is no displacement at these nodes whatever the value of t, and between them the displacement is always a sine curve, but of**amplitude**varying between +2a and - 2a. - Thus Mach found an
**amplitude**0 2 cm. - The 12-hour term is much less variable, especially as regards its phase angle; its
**amplitude**shows distinct maxima near the equinoxes. - The maximum velocity of a particle in the wave-train is the
**amplitude**of dy/dt. - (1); and for the intensity, represented by the square of the
**amplitude**, 1 2 [fJsin f +?2 fC? ? - Each section then vibrates, and its
**amplitude**goes through all its values in time given by 21rUT/A =2r, or T =A/U, and the frequency is U/A. - Methods of measuring the
**amplitude**in sound waves in air have been devised and will be described later. - Further, the same harmonics with the same
**amplitude**will always be present. - The
**amplitude**of the fork was observed when the sound just ceased to be audible at 27.4 metres away, and the rate of energy emission from the resonator was calculated to be 42 . - This rate of loss for each
**amplitude**was determined (i) when the fork was vibrating alone, and (2) when a resonator was placed with its mouth under the free ends of the fork. - The result was an
**amplitude**of 1.27 X 107 cm. - When the plate vibrated the mirror was vibrated about the fixed edge, and the image of a reflected slit was broadened out into a band, the broadening giving the
**amplitude**of vibration of the plate. - If th' maximum pressure change is determined, the
**amplitude**is given by equation (20), viz. - The 24-hour term is very variable both as regards its
**amplitude**and its phase angle (and so [[Table Iv]]. - For minimum audible sounds Wien found a somewhat smaller value of the
**amplitude**than Rayleigh. - The
**amplitude**in the pipe was certainly much greater than in the issuing waves. - Now the
**amplitude**evidently corresponds to the loudness, and the length of period corresponds to the pitch or frequency. - The first may be illustrated by Lord Rayleigh's experiments to determine the
**amplitude**of vibration in waves only just audible (Sound, ii. - Let us suppose that two trains of sine waves of length A and
**amplitude**a are travelling in opposite directions with velocity U. - The effects due to each of these rings are equal in
**amplitude**and of phase ranging uniformly over half a complete period. - V i brat i ons thus excited are termed forced vibrations, and their
**amplitude**is greater the more nearly the period of the applied force approaches that of the system when vibrating freely. - In the other, the waves produce a measurable effect on a vibrating system of the same frequency, and the
**amplitude**in the waves can be deduced. - The resultant with
**amplitude**I/-/2 that of (1). - When this is the case the
**amplitude**of the potential difference of the surfaces of the tubular condenser becomes a maximum, and this is indicated by connecting a vacuum tube filled with neon to the surfaces of the condenser. - That which differentiates a note sounded on one instrument from the same note on another instrument, depends neither on
**amplitude**nor on frequency or wave-length. - The maximum particle velocity is 21rna (where n is the frequency and a the
**amplitude**), or 27raU/X. - Neither of them seemed to recognize anything as important except pitch and
**amplitude**, and Reis thought the**amplitude**was to some extent obtained by the varying length of contact in the transmitting instrument. - If, however, the primary wave be spherical, and of radius a at the wave-front of resolution, then we kno* that at a distance r further on the
**amplitude**of the primary wave will be diminished in the ratio a:(r+a). - A (iI) We may find here the value of this when we have a train of waves in which the displacement is represented by a sine curve of
**amplitude**a, viz. - If the two forks have the same frequency, it is easily seen that the figure will be an ellipse (including as limiting cases, depending on relative
**amplitude**and phase, a circle and a straight line). - The component vibrations at P due to the successive zones are thus nearly equal in
**amplitude**and opposite in phase (the phase of each corresponding to that of the infinitesimal circle midway between the boundaries), and the series which we have to sum is one in which the terms are alternately opposite in sign and, while at first nearly constant in numerical magnitude, gradually diminish to zero. - Accordingly, the
**amplitude**of the resultant will be less than if all its components had the same phase, in the ratio +17r -17r or 2: 7. - If on the other hand the number of zones be odd, the effects conspire; and the illumination (proportional to the square of the
**amplitude**) is four times as great as if there were no obstruction at all. - The phase of the resultant
**amplitude**is the same as that due to the central secondary wave, and the discrepancies of phase among the components reduce the**amplitude**in the proportion l ` dri): 3? - At the central point there is still complete agreement of phase; but the
**amplitude**is diminished in the ratio of a: a+d. - The effect of each of the elements of the grating is then the same; and, unless this vanishes on account of a particular adjustment of the ratio a: d, the resultant
**amplitude**becomes comparatively very great. - We have now to consider the
**amplitude**due to a single element, which we may conveniently regard as composed of a transparent part a bounded by two opaque parts of width id. - The utility of the curve depends upon the fact that the elements of arc represent, in
**amplitude**and phase, the component vibrations due to the corresponding portions of the primary wave-front. - The
**amplitude**is thus subject to fluctuations, which increase as the shadow is approached. - The hyperbolic or Gudermannian
**amplitude**of the quantity x is ta n (sinh x). - In mechanics, the
**amplitude**of a wave is the maximum ordinate. - Another important result of the investigation was that the phase of vibration of the fork was not altered by bowing it, the
**amplitude**alone changing. - The energy of this fork with a given
**amplitude**of vibration could be calculated from its dimensions and elasticity, and the**amplitude**was observed by measuring with a microscope the line into which the image of a starch grain on the prong was drawn by the vibration. - § 311) gives the pressure variations in the incident waves in terms of those in the resonator, and so the pressure variation and the
**amplitude**of vibration in the waves to be measured were determined. - 301) Wien used a telephone plate, of which the
**amplitude**could be determined from the value of the exciting current, and he found that the smallest**amplitude**audible was 6.3 X t010 cm. - The result, if considered alone, inevitably leads to an underestimate of the average
**amplitude**of the regular diurnal variation. - Except at Karasjok, where the diurnal changes seem somewhat irregular, the relative
**amplitude**of the 12-hour term is considerably greater in summer than in winter. - When electric oscillations are set up in an open or closed electric circuit having capacity and inductance, and left to themselves, they die away in
**amplitude**, either because they dissipate their energy as heat in overcoming the resistance of the circuit, or because they radiate it by imparting wave motion to the surrounding ether. - The pitch of a musical sound depends on the number of cycles passed through by the fluctuations of the pressure per unit of time; the loudness depends on the amount or the
**amplitude**of the fluctuation in each cycle; the quality depends on the form or the nature of the fluctuation in each cycle. - The only effect of the ruling is to diminish the
**amplitude**in the ratio a: a+d; and, except for the difference in illumination, the appearance of a line of light is the same as if the aperture were perfectly free. - Further, the greater the dissipation of energy the less is the prominence of the
**amplitude**of vibration for exact coincidence over the**amplitude**when the periods are not quite the same, though it is still the greatest for coincidence. - The
**amplitude**of the light at any point in the axis, when plane waves are incident perpendicularly upon an annular aperture, is, as above, cos k(at-r 1)-cos k(at-r 2) =2 sin kat sin k(r1-r2), r2, r i being the distances of the outer and inner boundaries from the point in question. - In elliptic integrals, the
**amplitude**is the limit of integration when the integral is expressed in the form f 4) 1% I - N 2 sin e 4) d4. - In algebra, if a be a real positive quantity and w a root of unity, then a is the
**amplitude**of the product aw.