# Acceleration Sentence Examples

- The pull recorded on the diagram includes the resistances due to
**acceleration**and to the gradient on which the train is moving. - Of the charge may be suitable for the weight and
**acceleration**of the shot. - His " law of
**acceleration**" together with the complementary " law of retardation," or the slowing up in the development of certain characters (first propounded by E. - Since the difference between the
**acceleration**of gravity at the pole and at the equator is about 2%, the correction for latitude will be quite sensible in an instrument which might be used at various times in high and low latitudes. - (5) Resistance due to
**acceleration**, represented by Ra. - The
**acceleration**of a falling body is naturally attributed to the presence of the earth; and, though the body approaches the earth in the course of its fall, it is easily recognized that the conditions under which it moves are only very slightly affected by this approach. - The number adopted for the value of the normal
**acceleration**of gravity is 980.965 cm/sec-squared. - The alternate delay and
**acceleration**of the eclipses are then merely apparent; they represent the changes in the length of the light-journey as the stars perform their wide circuit. - The
**acceleration**therefore remains the same, and the velocity is unaltered. - If G is the
**acceleration**of gravity at the equator and g that at any latitude X, then g= G(IFoï¿½o0513 sin 2 X). - Hence the elementary arc divided by the element of time is the rate of change of velocity of the moving-point, or in other words, the velocity in the hodograph is the
**acceleration**in the orbit. - With liquid of density p, this gives rise to a kinetic reaction to
**acceleration**dU/dt, given by 7rp b 2 a 2 b l b d J = a 2 +b2 M' dU, if M' denotes the mass of liquid displaced by unit length of the cylinder r =b. - - If W 1 is the weight of the train in pounds and a the
**acceleration**in feet per second, the force required to produce the**acceleration**is f = Wi a / g (19) And if V is the average speed during the change of velocity implied by the uniform**acceleration**a, the rate at which work is done by this force is fV= W1Va /g (20) or in horse-power units Time occupied in the change - 13 - 0 113. - That at any point the tangent to the hodograph is parallel to the direction, and the velocity in the hodograph equal to the magnitude of the resultant
**acceleration**at the corresponding point of the orbit. - There are two steel-clad series-wound motors of 36 B.H.P. For a test load of 120 tons the tractive force is 70 lb per ton, which is sufficient for
**acceleration**, and maintaining speed against wind pressure. **Acceleration**; that is to say, would move in a straight line, in such a manner that its velocity would increase by equal amounts in any two equal times.- The
**acceleration**, a, which may be supposed uniform, is 1.465. - (6) On a curved bridge the centrifugal load due to the radical
**acceleration**of the train. - When the service is frequent enough to give a good power factor continuously, the steam locomotive cannot compete with the electric motor for the purpose of quick
**acceleration**, because the motors applied to the axles of a train may for a short time absorb power from the central station to an extent far in excess of anything which a locomotive boiler can supply. - Thus, on the supposition that the irregularity of temperature t extends through a length 1, and produces an
**acceleration**of a quarter of a wave-length, 4A=I I ltX102; or, if we take X = 5.3 X 10-5, it= 12, the unit of length being the centimetre. - If a mass of M grammes be placed in the earth's field at a place where the
**acceleration**of gravity has a value g centimetres per second, then the mechanical force acting on it and pulling it downwards is Mg dynes. - The above law of gradual evolution is perfectly consistent with a second principle, namely, that at certain times evolution is much more rapid than at others, and that organisms are accelerated or retarded in development in a manner broadly analogous to the
**acceleration**or retardation of separate organs. - During some revolutions there was evidence of a slight
**acceleration**of the return, and during others there was not. - (d) The term "weight" denotes a magnitude of the same nature as a force; the weight of a body is the product of the mass of the body by the
**acceleration**of gravity; in particular, the normal weight of a body is the product of the mass of the body by the normal**acceleration**of gravity. - Among the many difficulties which beset the question, not the least obvious was the length of time during which the Church must remain without a ruler, if - as Sigismund and the German nation demanded - the papal election were deferred till the completion of the internal reforms. The result was decided by the policy of the cardinals, who since May 1417 had openly devoted their whole energies to the
**acceleration**of that election; and union was preserved by means of a compromise arranged by Bishop Henry of Winchester, the uncle of the English king. - The average
**acceleration**in feet per second is measured by the fraction Change of speed in feet per sec. 60.07-58.6 64 tons; and to obtain the horse-power the boiler will be one of the largest that can be built to the construction gauge. - Now 2 area 17r=2Xr; so that, in order to reconcile the amplitude of the primary wave (taken as unity) with the half effect of the first zone, the amplitude, at distance r, of the secondary wave emitted from the element of area dS must be taken to be dS/Xr (1) By this expression, in conjunction with the quarter-period
**acceleration**of phase, the law of the secondary wave is determined. - That the amplitude of the secondary wave should vary as r1 was to be expected from considerations respecting energy; but the occurrence of the factor A1, and the
**acceleration**of phase, have sometimes been regarded as mysterious. - Phil.): - Let x, y, z be the coordinates of P in the orbit,, r t, those of the corresponding point T in the hodograph, then dx dy _ dz c= ' 71 - a' - at therefore Also, if s be the arc of the hodograph, ds = v = V V1 1) j dt + (dt2) dt Equation (1) shows that the tangent to the hodograph is parallel to the line of resultant
**acceleration**, and (2) that the velocity in the hodograph is equal to the**acceleration**. - As a rule these equations are established immediately by determining the component
**acceleration**of the fluid particle which is passing through (x, y, z) at the instant t of time considered, and saying that the reversed**acceleration**or kinetic reaction, combined with the impressed force per unit of mass and pressure-gradient, will according to d'Alembert's principle form a system in equilibrium. - To determine the component
**acceleration**of a particle, suppose F to denote any function of x, y, z, t, and investigate the time rate of F for a moving particle; denoting the change by DF/dt, DF = 1t F(x+uSt, y+vIt, z+wSt, t+St) - F(x, y, z, t) dt at = d + u dx +v dy+ w dz and D/dt is called particle differentiation, because it follows the rate of change of a particle as it leaves the point x, y, z; but dF/dt, dF/dx, dF/dy, dF/dz (2) represent the rate of change of F at the time t, at the point, x, y, z, fixed in space. - Similarly, the inertia parallel to Oy and Oz is NW' - 1 B W', B C (b2 +-X, c 2 ab and A +C abc/ZP, Ao For a sphere a=b=c, Ao= Bo=Co =, 'a' = Q = = z, (9) U from (II), (16) so that the effective inertia of a sphere is increased by half the weight of liquid displaced; and in frictionless air or liquid the sphere, of weight W, will describe a parabola with vertical
**acceleration**W - W', g (30) W+ aW Thus a spherical air bubble, in which W/W' is insensible, will begin to rise in water with**acceleration**2g. - The velocity perpendicular to the axis of any point on the curve at a fixed distance x from 0 is dy_ (I ]) at A A The
**acceleration**perpendicular to the axis is d2y = 2 2 dt 2 - A 2 sin A (x - Ut) The maximum pressure excess is the amplitude of ("6= Eu /U _ (E/U)dy/dt. - 3 parallel to AM; the energycurve AQE would be another straight line through A; the velocitycurve AvV, of which the ordinate v is as the square root of the energy, would be a parabola; and the
**acceleration**of the shot being constant, the time-curve AtT will also be a similar parabola. - He went on to deal with the case of projectiles, and was led to the conclusion that the motion in this case could be regarded as the result of superposing a horizontal motion with uniform velocity and a vertical motion with constant
**acceleration**, the latter identical with that of a merely falling body; the inference being that the path of a projectile would be a parabola except for deviations attributed to contact with the air, and that in a vacuum this path would be accurately followed. - The year 1787 was rendered further memorable by Laplace's announcement on the 19th of November (Memoirs, 1786), of the dependence of lunar
**acceleration**upon the secular changes in the eccentricity of the earth's orbit. - The rapid variation of certain groups of animals or the
**acceleration**of certain organs is also not evidence of the sudden appearance of new adaptive characters. - It has since been discovered, however, that the magnitude of the
**acceleration**in question is not exactly the same at different places on the earth, the range of variation amounting to about 2%. - The principal condition operating in the design of locomotives intended for local services with frequent stops is the degree of
**acceleration**required, the aim of the designer being to produce an engine which shall be able to bring the train to its journey speed in the shortest time possible. - 17 at a speed corresponding to the average speed during the
**acceleration**a, G the gradient, g the**acceleration**due to gravity, and V the velocity of the train in feet per second. - In addition to the foregoing list, various special locomotive types have been developed for suburban service, where high rates of
**acceleration**and frequent stops are required. - Sometimes, as on the Central London railway, the
**acceleration**of gravity is also utilized; the different stations stand, as it were, on the top of a hill, so that outgoing trains are aided at the start by having a slope to run down, while incoming ones are checked by the rising gradient they encounter. - " When I say," says Mach, " that a body A exerts a force on a body B, I mean that B, on coming into contraposition with A, is immediately affected by a certain
**acceleration**with respect to A." - Galileo proceeded to measure the motion of a body on a smooth, fixed, inclined plane, and found that the law of constant
**acceleration**along the line of slope of the plane still held, the**acceleration**decreasing in magnitude as the angle of inclination was reduced; and he inferred that a body, moving on a smooth horizontal plane, would move with uniform velocity in a straight line if the resistance of the air, and friction due to contact with the plane, could be eliminated. - Since high average speed on a line with frequent stops depends largely on rapidity of
**acceleration**, the tendency in modern equipment is to secure as great an output of power as possible during the accelerating period, with corresponding increase in weight available for adhesion. - The osculating plane of a stream line in steady motion contains the resultant
**acceleration**, the direction ratios of which are du du, du d i g d g 2 _ dH dx +v dy + dz - 2v? - The reader should, however, notice that what is generally called electric force is the analogue in electricity of the so-called
**acceleration**of gravity in mechanics, whilst electrification or quantity_of electricity is analogous to mass. - Motion is obtained from a continuous-current generator driven by an alternating motor with a very heavy fly-wheel, a combination known as the Ilgner transformer, which runs continuously with a constant draught on the generating station, the extremely variable demand of the winding engine during the
**acceleration**period being met by the energy stored in the fly-wheel, which runs at a very high speed. - - LAW OF
**Acceleration**And Retardation Illustrated In The Evolution Of The Hind Feet Of The Horse. - The
**acceleration**of the departure of the Japanese is shown by the fact that in the eighteen months (July 1904 to January 1906) occurred 19,114 of the 42,313 departures in the sixty-six months from July 1900 to January 1906.1 After 1906, owing to restrictions by the Japanese government, immigration to Hawaii greatly decreased. - This view involves the denial of force as a cause, and the assertion that all we know about force is that the
**acceleration**of one mass depends on that of another, as in mathematics a function depends on a variable; and that even Newton's third law of motion is merely a description of the fact that two material points determine in one another, without reciprocally causing, opposite.**accelerations** - They had practically the effect of suggesting an entirely new view of the subject, namely, that a body uninfluenced by other matter might be expected to move, relatively to some base or other, with uniform velocity in a straight line; and that, when it does not move in this way, its
**acceleration**is the feature of its motion which the surrounding conditions determine. - Per hour, according to the distance between stations Later practice takes advantage of the great increase in power that can be temporarily developed by electric motors during the period of
**acceleration**; this, in proportion to the weight of the train to be hauled, gives results much in advance of those obtained on ordinary steam railways. - , (7) and when q is stationary, the
**acceleration**is normal to the surface H = constant, and the stream line is a geodesic. - The evolution consists first in progressive increase in size; second, in the
**acceleration**of the median digit and retardation of the lateral digits, the latter becoming more and more elevated from the ground until finally in Equus (6) they are the lateral splints, which in the embryonic condition have vestigial cartilages attached representing the last traces of the lateral phalanges.