CN204166148U - A kind of device measuring acceleration of gravity - Google Patents
A kind of device measuring acceleration of gravity Download PDFInfo
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- CN204166148U CN204166148U CN201420570027.XU CN201420570027U CN204166148U CN 204166148 U CN204166148 U CN 204166148U CN 201420570027 U CN201420570027 U CN 201420570027U CN 204166148 U CN204166148 U CN 204166148U
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Abstract
Description
技术领域technical field
本实用新型涉及重力加速度测量技术领域,具体涉及一种测量重力加速度的装置。The utility model relates to the technical field of gravitational acceleration measurement, in particular to a device for measuring gravitational acceleration.
背景技术Background technique
现有技术中测试重力加速度一般使用单摆测试,装置包括细线、带孔的金属小球、铁夹、铁架台和秒表;在细线的一端打一个比金属小球上的孔大的结,将细线穿过金属小球上的孔做成一个单摆,将该单摆通过铁夹固定在铁架台上,将铁架台放置在桌边使铁夹伸出桌面,令单摆自由下垂;使用游标卡尺测量出小球的直径记为d;使用米尺测量金属小球悬点到小球上端的距离记为1;将金属小球偏移其中垂线5~8度在竖直平面内进行自由摆动,并且使用秒表记录金属小球完成30~50次全振动用的时间T;求出金属小球每次全振动所用的平均时间t=T/c;其中c为在T时间内金属小球所做的全振动的次数;根据公式g=4π2L/t2求得重力加速度,其中L=d/2+1。Test gravity acceleration in the prior art and generally use simple pendulum test, device comprises thin wire, metal ball with hole, iron clip, iron frame platform and stopwatch; , pass the thin wire through the hole on the metal ball to make a pendulum, fix the pendulum on the iron stand through the iron clip, place the iron stand on the edge of the table so that the iron clip protrudes from the table, and let the pendulum hang down freely ; Use a vernier caliper to measure the diameter of the ball and record it as d; use a meter ruler to measure the distance from the suspension point of the metal ball to the upper end of the ball and record it as 1; offset the metal ball by 5 to 8 degrees from the vertical line in the vertical plane Swing freely, and use a stopwatch to record the time T that the metal ball completes 30 to 50 full vibrations; find the average time t=T/c used by the metal ball for each full vibration; where c is the metal ball within T time. The number of full vibrations made by the ball; the acceleration of gravity is obtained according to the formula g=4π 2 L/t 2 , where L=d/2+1.
使用现有技术中的装置测试重力加速度时,需要一个人看表一个人记录单摆全振动的次数,操作比较复杂,而且在计算单摆的全振动次数和利用单摆计时容易出现差错,往往需要多次重复操作才能有一次测量成功,因此使用现有技术中的重力加速度测量装置测量重力加速度时需要花费比较长的时间。When using the device in the prior art to test the acceleration of gravity, one person needs to watch the watch and one person records the number of times of the full vibration of the pendulum. It takes a lot of repeated operations to make a successful measurement, so it takes a relatively long time to measure the acceleration of gravity using the acceleration of gravity measuring device in the prior art.
实用新型内容Utility model content
(一)要解决的技术问题(1) Technical problems to be solved
本实用新型所要解决的是现有的测量重力加速度的装置操作复杂、精确度不佳和耗时较长的缺点。What the utility model aims to solve are the shortcomings of the existing device for measuring the acceleration of gravity, such as complicated operation, poor accuracy and long time consumption.
(二)技术方案(2) Technical solutions
本实用新型的测量重力加速度的装置,包括一个容器和一个运动载体,其中,所述容器固定于所述运动载体上,并且所述容器中容纳有液体;所述运动载体能够作匀加速或匀减速运动,且该匀加速或匀减速运动的加速度能够被获得。The device for measuring the acceleration of gravity of the utility model comprises a container and a motion carrier, wherein, the container is fixed on the motion carrier, and liquid is contained in the container; the motion carrier can perform uniform acceleration or uniform acceleration. Deceleration motion, and the acceleration of the uniform acceleration or uniform deceleration motion can be obtained.
根据本实用新型的具体实施方式,所述的该容器的壁上设有高度刻度。According to a specific embodiment of the present utility model, a height scale is provided on the wall of the container.
根据本实用新型的具体实施方式,所述运动装置能够以预先设定的加速度作匀加速或匀减速运动。According to a specific embodiment of the present invention, the moving device can perform uniform acceleration or uniform deceleration with a preset acceleration.
根据本实用新型的具体实施方式,还包括施力装置,该施力装置能够对所述容器与运动载体构成的组合体施加一个恒定的力。According to a specific embodiment of the present invention, a force applying device is also included, and the force applying device can apply a constant force to the combination of the container and the moving carrier.
根据本实用新型的具体实施方式,还包括加速度测量装置,其用于测定所述运动载体的加速度。According to a specific embodiment of the present invention, an acceleration measuring device is also included, which is used to measure the acceleration of the moving carrier.
根据本实用新型的具体实施方式,所述加速度测量装置为陀螺仪。According to a specific implementation manner of the present utility model, the acceleration measuring device is a gyroscope.
根据本实用新型的具体实施方式,所述加速度测量装置为以一定的距离布置在所述运动载体的运动路径上的检测器。According to a specific embodiment of the present invention, the acceleration measuring device is a detector arranged at a certain distance on the moving path of the moving carrier.
根据本实用新型的具体实施方式,所述液体的粘度值在常温下低于20厘泊。According to a specific embodiment of the present invention, the viscosity of the liquid is lower than 20 centipoise at room temperature.
根据本实用新型的具体实施方式,所述液体为水。According to a specific embodiment of the present utility model, the liquid is water.
(三)有益效果(3) Beneficial effects
本实用新型的测量重力加速度的装置具有结构简单、操作简便、测量精度高,测量演示生动形象的优点。The device for measuring the acceleration of gravity of the utility model has the advantages of simple structure, convenient operation, high measurement precision, and vivid measurement demonstration.
附图说明Description of drawings
图1是本实用新型的测量重力加速度的装置的结构示意图;Fig. 1 is the structural representation of the device for measuring the acceleration of gravity of the utility model;
图2是本实用新型的测量重力加速度的装置的原理图,其显示的是液面上的一个点的受力情况。Fig. 2 is a schematic diagram of the device for measuring the acceleration of gravity of the present invention, which shows the force situation of a point on the liquid surface.
具体实施方式Detailed ways
为解决上述技术问题,本实用新型提出一种新的测量重力加速度的装置,其包括一个容器和一个运动载体,其中,所述容器固定于所述运动载体上,并且所述容器中容纳有液体,该容器的壁上设有高度刻度;所述运动载体能够作匀加速或匀减速运动。In order to solve the above technical problems, the utility model proposes a new device for measuring the acceleration of gravity, which includes a container and a moving carrier, wherein the container is fixed on the moving carrier, and the container contains liquid , the wall of the container is provided with a height scale; the moving carrier can be uniformly accelerated or uniformly decelerated.
图1是本实用新型的测量重力加速度的装置的结构示意图。如图1所示,本实用新型的测量装置包括一个容器1和一个运动载体2,容器1固定于运动载体2之上,且其中容纳有液体3。Fig. 1 is a structural schematic diagram of a device for measuring the acceleration of gravity of the present invention. As shown in FIG. 1 , the measuring device of the present invention includes a container 1 and a moving carrier 2 . The container 1 is fixed on the moving carrier 2 and contains a liquid 3 therein.
所述容器1的形状在本实用新型中不受限制,可以是杯形、圆筒形、棱柱形等,其材料优选为透明的或半透明的,以便从外部观察液面。容器壁上优选为标注有高度刻度,以便记录液面所在的位置。该高度刻度优选为到少位于沿着所述运动载体2的运动方向的前后两侧,以便于观察该前后两侧的液面高度。The shape of the container 1 is not limited in the present invention, it can be cup-shaped, cylindrical, prism-shaped, etc., and its material is preferably transparent or translucent, so as to observe the liquid level from the outside. The height scale is preferably marked on the container wall, so as to record the position of the liquid level. The height scale is preferably located at least on the front and back sides along the moving direction of the moving carrier 2 , so as to observe the liquid level on the front and back sides.
所述运动载体2能够在外力作用下作均加速运动或均减速运动。优选地,施加所述外力的施力装置可以对该运动载体2施加一个恒定的力。该力可以是机械力、电场力、磁场力等。例如,施力装置可以是在该运动载体2的运动轨迹上施加一个恒定的磁场的装置,同时,该运动载体2的到少部分为磁体。The motion carrier 2 can perform uniformly accelerated motion or uniformly decelerated motion under the action of external force. Preferably, the force applying device for applying the external force can apply a constant force to the motion carrier 2 . The force may be a mechanical force, an electric field force, a magnetic field force, or the like. For example, the force applying device may be a device that applies a constant magnetic field on the moving track of the moving carrier 2, and at least a small part of the moving carrier 2 is a magnet.
该运动载体2优选为放置在具有恒定摩擦系数的接触平面上,以便其在运动过程中受到的摩擦力保持恒定。所要运动载体2即可以在运动时与其所放置的平面产生滑动摩擦,也可以产生滚动摩擦。例如,如图1所示,其底部装有小轮以和接触平面产生滚动摩擦。The moving carrier 2 is preferably placed on a contact plane with a constant friction coefficient, so that the frictional force it receives during the movement remains constant. The desired moving carrier 2 can generate sliding friction or rolling friction with the plane on which it is placed when moving. For example, as shown in Figure 1, small wheels are installed at the bottom to generate rolling friction with the contact surface.
由此,当施力装置(图1中未示出)对运动载体施加一个恒定的力时,容器1随同运动载体2朝着施力的方向作均加速运动或均减速动动(取决于运动载体2的初始速度方向与施力方向相同或相反),由此,在容器1中的液体的液面会产生一个倾角α。下面,我们来分析利用该倾角来测量重力加速度的原理。Thus, when the force applying device (not shown in Fig. 1) exerts a constant force on the moving carrier, the container 1 along with the moving carrier 2 moves toward the direction of the applied force with acceleration or deceleration (depending on the motion The direction of the initial velocity of the carrier 2 is the same as or opposite to the direction of the applied force), thus, the liquid level of the liquid in the container 1 will generate an inclination angle α. Next, let's analyze the principle of using the inclination angle to measure the acceleration of gravity.
图2是本实用新型的测量重力加速度的装置的原理图,其显示的是液面上的一个点的受力情况,在所述液体3的液面上取一微小体积元(液体微元),设其质量为m,所受重力即为mg,同时,它还受到下面液体给予的支持力N,支持力N的方向垂直于液面方向,支持力N和重力mg这两个力的合力即为使该液体微元产生加速度a的合力,由此可得到mg·tgα=ma。所以g=a/tg α。同时,根据图1所示,又tg α液面前后高度差Δh和液面前后距离D的商,即tg α=Δh/D。代入前式可得g=a·Δh/D。Fig. 2 is the schematic diagram of the device for measuring the acceleration of gravity of the present utility model, and what it shows is the stressed situation of a point on the liquid surface, gets a tiny volume element (liquid microelement) on the liquid surface of described liquid 3 , assuming its mass is m, its gravity is mg. At the same time, it is also supported by the support force N given by the liquid below. The direction of the support force N is perpendicular to the direction of the liquid surface. The resultant force of the support force N and the gravity mg That is to make the liquid element produce the resultant force of acceleration a, thus mg·tgα=ma can be obtained. So g=a/tg α. At the same time, as shown in Figure 1, tg α is the quotient of the height difference Δh between the front and back of the liquid and the distance D between the front and back of the liquid, that is, tg α=Δh/D. Substituting into the previous formula, g=a·Δh/D can be obtained.
由于液面前后高度差Δh和加速度a均可方便得获得,液面前后距离D通常为固定值,因此只要运动载体2作一次或多次均加速或均减速运动,即可得到重力加速度的值。Since the height difference Δh and acceleration a of the liquid front and back can be easily obtained, the distance D between the front and back of the liquid is usually a fixed value, so as long as the moving carrier 2 performs uniform acceleration or deceleration once or more times, the value of the acceleration of gravity can be obtained .
当然,也可以通过其他方式来直接测得角度α的大小,例如通过实时的图像记录得到液面的图像,然后通过测量得到该角度的大小。Of course, the size of the angle α can also be directly measured in other ways, such as obtaining an image of the liquid level through real-time image recording, and then obtaining the size of the angle through measurement.
所述的匀加速或匀减速运动的加速度a应该预先设定或者可以被精确地测量得到。如果是预先设计,则所述施力装置对所述容器与运动载体施加的恒定的力可以精确地调节,例如调节恒度磁场的强度,然后将磁场强度的大小和加速度的大小进和定标,即可根据设定的磁场强度力调节预定加速度大小。The acceleration a of the uniformly accelerated or uniformly decelerated motion should be preset or can be accurately measured. If it is pre-designed, the constant force exerted by the force applying device on the container and the moving carrier can be precisely adjusted, for example, by adjusting the strength of the constant magnetic field, and then the magnitude of the magnetic field strength and the magnitude of the acceleration can be calibrated , the predetermined acceleration can be adjusted according to the set magnetic field strength.
如果所述加速度a是在实验过程中测量得到的,则可在运动载体2的运动轨迹上相隔一定距离设置两个检测器,分别用于检测该运动载体2通过该两个检测器的时间,从而过算出两个时间点的时间差t,根据公式a=2s/t2即可求得加速度的在小,其中s为两个检测器之间的距离。If the acceleration a is measured during the experiment, two detectors can be arranged at a certain distance on the motion track of the moving carrier 2, which are respectively used to detect the time when the moving carrier 2 passes through the two detectors, Thus, after calculating the time difference t between the two time points, the minimum acceleration can be obtained according to the formula a=2s/t 2 , where s is the distance between the two detectors.
当然,如果不能精确地设计施加的恒定的力的大小,或者不方便测量容器和运动载体的总质量时,可能通过一个加速度测量装置来测定所述运动载体2进行均加速或均减速运动的加速度。所述加速度测量装置例如是安装在运动载体上的陀螺仪。Of course, if the magnitude of the applied constant force cannot be accurately designed, or it is inconvenient to measure the total mass of the container and the moving carrier, an acceleration measuring device may be used to measure the acceleration of the moving carrier 2 in uniformly accelerating or uniformly decelerating motion . The acceleration measuring device is, for example, a gyroscope mounted on a moving carrier.
此外,所述容器中所容纳的液体的粘度应当尽量的小,以免液体在从静止状态变化到匀加速/匀减速状态后达到平衡的时间过长。通常,可以选择常温下粘度低于20厘泊的液体,水是一种优选的选择。In addition, the viscosity of the liquid contained in the container should be as small as possible, so as not to take too long for the liquid to reach equilibrium after changing from a static state to a uniform acceleration/deceleration state. Generally, a liquid with a viscosity below 20 centipoise at room temperature can be selected, and water is a preferred choice.
相比于直接测量加速度的现有技术,本实用新型通过液体在加速时发生的倾斜效应,将竖直方向的加速度测量转变化水平方向的加速度测量,这有有利于提高测量装置架构的难度,从而提高测量的精度。同时,本实用新型的测量方法简单,有效,能提高测量的效果。同时,本实用新型的测量过程生动、形象,能够应用于教学、科研中的实验用具,提高教学的生动性和教学质量。Compared with the prior art of directly measuring the acceleration, the utility model converts the acceleration measurement in the vertical direction into the acceleration measurement in the horizontal direction through the tilt effect that occurs when the liquid accelerates, which is beneficial to improve the difficulty of the structure of the measuring device. Thereby improving the accuracy of measurement. Simultaneously, the measuring method of the utility model is simple and effective, and can improve the measuring effect. Simultaneously, the measurement process of the utility model is vivid and vivid, and can be applied to experimental equipment in teaching and scientific research, so as to improve the vividness and quality of teaching.
以上所述的具体实施方式,对本实用新型的目的、技术方案和有益效果进行了进一步详细说明,应理解的是,以上所述仅为本实用新型的具体实施例而已,并不用于限制本实用新型,凡在本实用新型的精神和原则之内,所做的任何修改、等同替换、改进等,均应包含在本实用新型的保护范围之内。The above-mentioned specific embodiments have further described the purpose, technical solutions and beneficial effects of the present utility model in detail. It should be understood that the above-mentioned descriptions are only specific embodiments of the present utility model, and are not intended to limit the present utility model. For new models, any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present utility model shall be included within the protection scope of the present utility model.
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CN110930834A (en) * | 2019-11-25 | 2020-03-27 | 齐齐哈尔大学 | Experimental device and method for obtaining liquid level height difference of uniform accelerated motion |
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CN110930834B (en) * | 2019-11-25 | 2021-10-12 | 齐齐哈尔大学 | Experimental device and method for obtaining liquid level height difference of uniform accelerated motion |
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