Spiral Movement

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Gif_Spiral Movement.gif

Greetings to the entire academic and scientific community of hive.

Introducción

Throughout its wonderful history, man has worked incessantly to extract from his environment all kinds of information and consequently knowledge translated into essential learning implemented for our development in different areas of our existence, such a feature has allowed us to use it in the localization of different mobilities developed in both the micro and macrocosm.

We can say that we have come across vital and fundamental movements such as the circular, parabolic, elliptical and hyperbolic, in this way we begin the consolidation of any type of movement around us, where, we have found and analyzed movements such as; rectilinear-curvilinear, oscillatory, vibratory, undulatory, damped harmonic, chaotic, cycloidal, epicycloidal, hypo-cycloidal and in this opportunity we will analyze the spiral movement.

Many of us at any moment can be visual witnesses of the spiral curve and the respective movement that it generates, this spiral can be found in innumerable activities of the humanity as well as in the same nature, this curve is an important trajectory for any particle, body or object that are in the universe developing the recognized spiral movement, including our galaxy, Milky Way, is a spiral in movement.

We can express that the kinematic properties of the spiral curve were determined by the great Archimedes of Syracuse, this historical character invited us to imagine a certain straight line which turns at a constant speed around one of its ends, and this straight line would always be maintained on the same plane, but also with a point which would move through the mentioned straight line with a constant rectilinear speed, and therefore, this point would describe the geometric place of a spiral.

It is important to emphasize always that all mobility of a particle, body or object will draw a certain resulting trajectory as the geometric place of a figure or geometric form, and that generally, this geometric figure provides the referred name to the movement carried out by this mobile previously described, therefore, let's start to know our first curve trajectory called Archimedes' spiral as we can observe in the following figure 1.

Figure 1. Archimedes spiral or uniform

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In the previous figure 1, we could see the generation of the Archimedes spiral or uniform, the second denomination is due to the fact that the width of its spirals will always be the same, in this way we knew our first spiral trajectory curve, the one of Archimedes, however, it is fundamental to know another curve belonging to this wonderful family of spirals as it is the logarithmic spiral or of Bernoulli as we can observe in the following figure 2.

Figure 2. Logarithmic or Bernoulli's spiral

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In the previous figure 2, we could visualize another spiral path curve, the logarithmic one, in this way we can say that the spirals became essential tools in our lives, since through the knowledge obtained from them we have been able to determine the behavior of phenomena developed in our environment as we will be able to observe later with the description of some examples.

Spiral movement

In previous articles related to the phenomenon of movement we have found bending called mechanics such as those belonging to the family of epicycloidal and hypo-cycloidal, both very useful in the design of teeth for gears, the latter as we know vital in the process of transmission of any type of mobility and therefore essential for our extensive development.

Now in this article we analyze the spiral movement and consequently its trajectory curve, we can say that it is considered the first mechanical curve in our history and it was used as a basis in the development of important instruments for the transmission of movement in order to develop certain activities more easily.

Therefore, for a spiral movement to be carried out by a certain particle, body or object, this mobile must travel through the geometric location of a certain spiral curve. We could at once highlight an example by recalling the trajectory traveled or traversed by a thin needle on a vinyl disc whose equally spaced grooves formed an Archimedes spiral or uniform as observed in Figure 1.

When observing in our environment we could find many spirals either in a natural or artificial way and with that the movement analyzed in this opportunity is developed, the spiral, for example; there are stairs with spiral form, the tape measure of a dressmaker usually is rolled up in a spiral form, if we meet a snail we notice that the shell or frame has spiral form as we can observe in the following figure 3.

Figure 3. Spirals created by our nature

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In the previous figure 3, we could observe a natural spiral form and if we could with some of our fingers review that figure, we would be developing a spiral movement, this type of spiral is related to the logarithmic spiral that is usually the most common around us, this figure 3, leads us to express that this type of logarithmic spiral was initially described by Descartes as the path or trajectory followed by a body when it falls on the surface of a spherical body in movement.

From our nature we could continue to detect other examples, both of spiral trajectories and of their respective spiral movement, such is the case of a chameleon's tongue as we can see in the following figure 4.

Figure 4. Spiral movement found in a chameleon

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In the previous figure 4, we continue analyzing the spiral movements developed in a natural way, also this type of curve and mobility can be found in our external universe as we can see in the following figure 5.

Figure 5. Spiral movement in our outer universe

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From the previous figure 5, we can remember that our galaxy is in this type of spiral motion as the example shown in that figure does, through our ingenuity it is possible to carry out in an artificial or mechanical way this type of spiral mobility as we can see in the following figure 6.

Figure 6. Artificial spiral movement

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In the previous figure 6, we could see the spiral mobility carried out by a ball when it is thrown with a certain force generated by a spring, this example of spiral movement can be better observed in the general gif at the beginning of this article.

It is important to mention other spirals such as the Cornu or clothoid spiral, this type of spiral is very frequently used in the design of both roads but essentially of railways, as this spiral curve will avoid the irregularity in terms of centrifugal acceleration of any mobile or vehicle when passing from one path to another, for example from a straight path to a circular one or vice versa, this type of spiral path allows a gradual transition with respect to the radius of curvature and thus cushion the meeting between two paths of different geometric shapes as indicated above.

In our homes we can also find some examples of this type of spiral mobility, and in this way we could simulate on a small scale the behavior of devastating natural phenomena such as tropical cyclones like hurricanes, generally, the type of spiral observed in such phenomena is the logarithmic one by the exponential movement developed.

But this time we will fill some tub, bathtub or any other space that has an orifice or exit of the accumulated liquid, as we can see in the following figure 7.

Figure 7. Spiral movement in our homes

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In the previous figure 7, we could observe how we filled the container destined for our small homemade practice and when removing the cap a phenomenon to small scale was originated similar to the one of a hurricane with logarithmic spiral movement as it is visualized in the image, and this way we verified that the phenomenon of the movement is with us in any instant of our lives.

So wonderful is the spiral movement and its respective trajectory, the latter as we have expressed is constituted by the geometric place of different forms of spiral curves and hence the name of this phenomenon of mobility, our journey was made from our earth's crust to reach our outer universe as we could observe in each of the above examples and figures.

Conclusion

Our gaze is constantly witnessing the masterful order shown in our universe, and we know that it is complexly structured in compliance with essential and fundamental natural laws, man through his intellectual expansion has tried to learn from the characteristic mentioned above despite the mistakes we know we have made, but we still have a long way to go as humanity and everything depends on our future performance or behavior with everything around us.

We continue to see that the phenomenon of movement is very complex but necessary for our existence, this is what constantly motivates us to continue knowing about this phenomenon, as we were able to do with the movement analyzed on this occasion, the wonderful spiral movement.

We can say that the logarithmic spiral or growth spiral is the one that we can find more around us, and it increases its length with respect to the center very quickly or exponentially, this makes the distances between its spirals are not uniform, through the examples given we could confirm that such spiral curves are at our side as well as the movement that is generated through them.

Many examples mentioned among which we can highlight, the shells of snails, the tongue of chameleons, the way or manner of collecting a tape measure, a rope, cable, paper on a roll, the historical movement made by the needle of an old record player, where, transited by the geometric place of a uniform spiral path or Archimedes, other examples of natural behavior such as hurricanes, where, we develop a small home practice and simulate the natural phenomenon mentioned above, this observed in Figure 7.

To conclude we could say that when we observe a spiral movement we are looking at a torsional force applied to innumerable phenomena developed around us as we observe it in the container of the practice performed, and any person surely has been able to see the above described in any space of his case or home.

Until another opportunity my appreciated friends and readers of Hive.blog, specially to the members of the big communities friends of #stemsocial, #minnowbooster and #curie, reason why I recommend widely to be part of these exemplary projects, because they emphasize the valuable task of the academy and this way of all the scientific field.

Note: All images were made using the Power Point application and the animated gif with the PhotoScape application.

Bibliographic References

[1]Charles H. Lehmann. Geometría analítica

[2]Spiraldynamik - intelligent movement

[3]EL MUNDO ESPIRAL

[4]Spirals on surfaces of revolution



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