circle itself is inherently a source of mysteries, as well as their extraordinary solutions.This figure is used as the most frequently used symbol of eternity.Often contrasted with the square circle.Inextricably linked with the terms of the image of the wheel and circular motion.In this process, great minds not only saw the embodiment of the laws of mechanics, and a philosophical sense of constant returns to himself.
In pre-Christian times to the terms associated sign of the sun-wheel.Some thinkers have seen in the embodiment of the endless circle line, and motion of a point on a circle is a perpetual process.Astrology saw a sign in a circle, forming a line of the zodiac.Ouroboros - snake that bites its own tail, if not another symbol for the movement in a circle?Mathematicians and artists are in this geometric figure lurking sense, and physics, studying the circular motion, created a powerful platform for the theoretical explanation of its conventional laws of mechanics.Almost exactly curvilinear motion is the most common.The movement of the body in a circle is a special ideal case of this diverse process.
Considering the curved trajectory of motion can present it as a set of arcs of circles of different radii.Accordingly, as the circular motion, curvilinear motion and are accelerated.The movement always takes place under the influence of forces, while there is a constant change in the direction of the velocity vector.The main condition for curvilinear motion is that the velocity vector of the body and the force acting on it tend to be directed along the lines that intersect.In contrast to rectilinear motion vectors of force and speed in the same direction.
If we consider even the uniform motion of a body in a circle, we can distinguish its basic properties and characteristics.Firstly, it is an example of a curvilinear motion with constant velocity modulus.Secondly, we should not forget that we are dealing with an acceleration, which provokes a constant change of direction.This kind of acceleration is called "centripetal".According to the classical definition, with this acceleration body moves in a circle at a rate constant in magnitude, and this acceleration is directed along a radius of the circle towards the center.
As for velocity, then we are dealing here with the value tangential to the trajectory.In the case of circular motion between the velocity vector and the acceleration vector angle is ninety degrees.By measuring the speed of a body moving in a circle, use the default value is the ratio of the distance traveled by the time.With this approach, the distance traveled - this is nothing, as the length of the arc.Also, the angular displacement may be used.This may take degree measure of the angle at which the body is displaced at opredёlёnny period of time, and it can be expressed in radians or in relation to the radius of the arc length.
Given the constancy of angular velocity of the circular motion of the body, it is worth considering a few variables that characterize this process.This is the frequency and period, as values are close, the frequency is always inversely proportional to the period.This period is called the time in which the body carries out a complete revolution, and the frequency - the number of revolutions per unit time interval.
study of body movement in a circle of great practical importance.Design of various machinery is impossible without an accurate calculation.And only thanks to the laws of mechanics can be carried out fairly accurate calculation of various shafts, wheels, flywheels and other elements that abound in modern machines and mechanisms.