# Velocities Sentence Examples

- (Danish).3 It was, however, ascertained that there is a great difference between the
**velocities**of the glaciers in winter and in summer. - The empirical data on which the hydrodynamical investigations are based are: (I) observed
**velocities**and directions of oceanic currents and drifts; (2) salinity; (3) density; (4) temperature of the sea water in situ; (5) oceanic soundings. - The
**velocities**in unit field-he takes to be 1 3 X300 for the positive, and I. - The result has been that wind
**velocities**published in many official publications have of ten been in error by nearly 5 0%. - He initiated in 1866 the spectroscopic observation of sunspots; applied Doppler's principle in 1869 to determine the radial
**velocities**of the chromospheric gases; and successfully investigated the chemistry of the sun from 1872 onward. - On the theory that the phenomena are wholly due to unequal ionic
**velocities**this result would mean that the cation like the anion moved against the conventional direction of the current. - The
**velocity**with which the ions move past each other is equal to the sum of their individual**velocities**, which can therefore be calculated. - Hence the absolute
**velocities**of the two ions can be determined, and we can calculate the actual speed with which a certain ion moves through a given liquid under the action of a given potential gradient or electromotive force. - The details of the calculation are given in the article Electric conduction, § where also will be found an account of the methods which have been used to measure the
**velocities**of many ions by direct visual observation. - The results go to show that, where the existence of complex ions is not indicated by varying transport numbers, the observed
**velocities**agree with those calculated on Kohlrausch's theory. - 2 From the fundamental principle of virtual
**velocities**, which thus acquired a new significance, Lagrange deduced, with the aid of the calculus of variations, the whole system of mechanical truths, by processes so elegant, lucid and harmonious as to constitute, in Sir William Hamilton's words, "a kind of scientific poem." - This will be evident if we consider that, since radii vectores of the hodograph represent
**velocities**in the orbit, the elementary arc between two consecutive radii vectores of the hodograph represents the**velocity**which must be compounded with the**velocity**of the moving point at the beginning of any short interval of time to get the**velocity**at the end of that interval, that is to say, represents the change of**velocity**for that interval. - But as he was unacquainted with the law of the
**velocities**of running water as depending upon the depth of the orifice, the want of precision which appears in his results is not surprising. - At a time when the Cartesian system of vortices universally prevailed, he found it necessary to investigate that hypothesis, and in the course of his investigations he showed that the
**velocity**of any stratum of the vortex is an arithmetical mean between the**velocities**of the strata which enclose it; and from this it evidently follows that the**velocity**of a filament of water moving in a pipe is an arithmetical mean between the**velocities**of the filaments which surround it. - He supposed that the surface of the fluid, contained in a vessel which is emptying itself by an orifice, remains always horizontal; and, if the fluid mass is conceived to be divided into an infinite number of horizontal strata of the same bulk, that these strata remain contiguous to each other, and that all their points descend vertically, with
**velocities**inversely proportional to their breadth, or to the horizontal sections of the reservoir. - An angular
**velocity**R, which gives components - Ry, Ix of**velocity**to a body, can be resolved into two shearing**velocities**, -R parallel to Ox, and R parallel to Oy; and then ik is resolved into 4'1+1'2, such that 4/ 1 -R-Rx 2 and 1//2+IRy2 is constant over the boundary. - The real
**velocities**derived from good observations are rarely, if ever, under 7 or 8 m. - In 1738 appeared his Hydrodynamica, in which the equilibrium, the pressure, the reaction and varied
**velocities**of fluids are considered both theoretically and practically. - Reynolds, in his investigation, introducing no new form of law of distribution of
**velocities**, uses a linear quantity, proportional to the mean free path of the gaseous molecules, which he takes to represent (somewhat roughly) the average distance from which molecules directly affect, by their convection, the state of the medium; the gas not being uniform on account of the gradient of temperature, the change going on at each point is calculated from the elements contributed by the parts at this particular distance in all directions. - Have
**velocities**of which the components lie between u and u+du, v and v+dv, w and w+dw, while the corresponding number of molecules of the second kind is, similarly, s' y (h3m'3/73)e hm'(u2-1-v2+"' 2)dudvdw. - (5) If c is the resultant
**velocity**of a molecule, so that c 2 =u2+v2+w2, it is readily found from formula (4) that the number of molecules of the first kind of which the resultant**velocity**lies between c and c+dc is 4lrs1,l (h 3 rn 3 17r 3)e hmc2 c 2 dc. (6) These formulae express the " law of distribution of**velocities**" in the normal state: the law is often called Maxwell's Law of Distribution. - T =273, we obtain R =1.35 X Io -16 and this enables us to determine the mean
**velocities**produced by heat motion in molecules of any given mass. - „ air 15° C = 49,800 „ „ „ mercury vapour at o° „ C = 18,500 „ and other
**velocities**can readily be calculated. - Also in air for very low
**velocities**, but, where the**velocities**are high, the retardation is great, the projectile takes longer to traverse each succeeding space, and consequently the time of flight for any range is longer; the axis must therefore be directed still higher above the point to be struck. - In 1868 he proved incandescent carbon-vapours to be the main source of cometary light; and on the 23rd of April in the same year applied Doppler's principle to the detection and measurement of stellar
**velocities**in the line of sight. - Comparing the
**velocities**of sound U i and U2 in two different gases with densities and at the same temperature and pressure, and with ratios of specific heats 'yl, 72, theory gives Ui/U2 = 1/ {71 p 2/72 p i }. - The
**velocities**in air and water being respectively 1090 and 4700 ft. - If the
**velocities**of source and receiver are equal then the frequency is not affected by their motion or by the wind. - But if their
**velocities**are different, the frequency of the waves received is affected both by these**velocities**and by that of the wind. - The
**velocities**in different gases may be compared by this apparatus by filling the dust-tube with the gases in place of air. - To form stationary waves two equal trains must be able to travel in opposite directions with equal
**velocities**, and to be superposed. - But this theory is very far from being of practical value for most purposes of gunnery; so that a first requirement is an accurate experimental knowledge of the resistance of the air to the projectiles employed, at all
**velocities**useful in artillery. - Denoting by S(v) the sum of all the values of AS up to any assigned
**velocity**v, (is) S(v) =E(OS)+ a constant, by which S(v) is calculated from AS, and then between two assigned**velocities**V and v, V AT, = vAv or rvvdv vgp gp' and if s feet is the advance of a shot whose ballistic coefficient is C, (17) s=C[S(V) - S(v)]. - In direct fire the pseudo-
**velocities**U and u, and the real**velocities**V and v, are undistinguishable, and sec n may be replaced by unity so that, putting y =o in (79), (88) tan 4) = C [I (V) - y-s] Also (89) tan 4 - tan S=C [I(V) - L(v)] so that (9 °) tan 1 3=C [1 -s. - But the main purport of the treatise was the exposition of an elaborate system of celestial harmonies depending on the various and varying
**velocities**of the several planets, of which the sentient soul animating the sun was the solitary auditor. - Robins also made a number of important experiments on the resistance of the air to the motion of projectiles, and on the force of gunpowder, with computation of the
**velocities**thereby communicated to projectiles. - The mechanical idea, named the parallelogram of
**velocities**, permits a ready and easy graphical representation of these facts. - Bradley recognized the fact that the experimental determination of the aberration constant gave the ratio of the
**velocities**of light and of the earth; hence, if the**velocity**of the earth be known, the**velocity**of light is determined. - The
**velocities**ranged from about 400 to 1900 metres, the metals of small atomic weight giving as a rule the higher**velocities**. - While some of the phenomena seem to indicate that the projection of metallic vapours into the centre of the spark is a process of molecular diffusion independent of the mechanism of the discharge, the different
**velocities**obtained with bismuth, and the probability that the vibrating systems are not electrically neutral, seem to indicate that the projected metallic particles are electrified and play some part in the discharge. - Stark discovered that in the case of the series spectrum of hydrogen and of other similar spectra the lines were displaced indicating high
**velocities**; in other cases no displacements could be observed. - If m and m' are the masses, v and v' their initial
**velocities**, and V the common**velocity**, then m(v - V) = m'(V - v'), therefore m + m')V, and hence (m y + m'v')f(m m') = V. - The importance of a study of the changes of the vis viva depending on squares of
**velocities**, or what is now called the "kinetic energy" of a system, was recognized in Newton's time, especially by Leibnitz; and it was perceived (at any rate for special cases) that an increase in this quantity in the course of any motion of the system was otherwise expressible by what we now call the "work" done by the forces. - Now the
**velocities**u and v of the opposite ions under unit potential gradient, and therefore U and V under unit force, are known from electrical data. - This action and reaction between layers in relative motion is equivalent to a frictional stress tending to equalize the
**velocities**of adjacent layers. - These atoms, differing only in size, figure and weight, are perpetually moving with equal
**velocities**, but at a rate far surpassing our conceptions; as they move, they are for ever giving rise to new worlds; and these worlds are perpetually tending towards dissolution, and towards a fresh series of creations. - Dividing the whole number of arcs, 156, whose angular
**velocities**were measured into three numerically equal groups, according to their altitude, the following were the results in minutes of arc per second of time (or degrees per minute of time): - Each group contained auroras which appeared stationary. - The method originally used by Huggins, who first conceived and proved the possibility of measuring stellar
**velocities**in the line of sight, was to measure with a filar micrometer the displacement of some well-known line in a stellar spectrum relative to the corresponding line of a terrestrial spectrum. - In the experiment imagined by Lord Rayleigh a porous diaphragm takes the place of the partition and trap-doors imagined by Clerk Maxwell, and the molecules sort themselves automatically on account of the difference in their average
**velocities**for the two gases. - In such experiments the molecular energy of a gas is converted into work only in virtue of the molecules being separated into classes in which their
**velocities**are different, and these classes then allowed to act upon one another through the intervention of a suitable heat-engine. - = RV (2) where T 1, T2, T3, &c. are the torques on the axles whose respective angular
**velocities**are wl,w2, W3, &c.