In the world around us, there are many phenomena and processes that, by and large, invisible, not because they do not exist, but because we simply do not notice them.They are always present and are the same and obligatory invisible essence of things, without which our lives and it is difficult to imagine.Everyone, for example, it is known that such hesitation in general terms - a deviation from the equilibrium state.Well, the tip of the Ostankino tower leaned on their 5 m, what next?And hardens?Nothing like this will start to come back, and slip equilibrium will deviate in the opposite direction, and so on forever, as long as it will exist.And tell me, a lot of people actually seen these quite serious fluctuations in such huge structures?Everyone knows fluctuates, here, there, here, there, day and night, winter and summer, but somehow ... not much.The reasons for the oscillatory process - is another matter, but his presence - inseparable attribute of all.
Varies everything: buildings, pendulum clocks, the leaves on the trees, strings of a violin, the surface of the ocean, the fork tines ... Among fluctuations distinguish chaotic that do not have strict repeatability, and cyclic, which for a time period T vibrating body is in fullset your changes, and then the cycle is exactly the same, in general, forever.Usually, these changes imply a sequential scan of the spatial coordinates, as can be seen in the oscillations of a pendulum or the same tower.
number of oscillations per unit time is called the frequency F = 1 / T.The unit of frequency measurement - Hz = 1 / s.It is clear that the angular frequency of oscillation of the same name is a parameter of any type.However, in practice, this concept is accepted, with some amendments, relate primarily to fluctuations in the rotational nature.It happened in the art that the rotational movement is the basis of most of the machines, tools, devices.For such vibrations one cycle is one turn, and then it is more convenient to use the angular parameters of the displacement.Accordingly, the rotational movement of the measured angular units, ie,one revolution is equal to 2π radians, and the angular frequency ῳ = 2π / T. This expression is readily apparent connection c frequency F: ῳ = 2πF.This allows you to say that the cyclic frequency - the number of oscillations (full turns) over 2π seconds.
seemingly not in the forehead, so ... Not really.2π 2πF multipliers and are used in many electronics equations, mathematical and theoretical physics in the sections where the oscillatory processes are studied using the concept of cyclic frequency.The formula of the resonance frequency, for example, is reduced by two factors.In the case of a unit in the calculations, "vol. / Sec" corner, the cyclic frequency ῳ numerically the same as the frequency F.
Fluctuations as the nature and form of existence of matter, and its real incarnation - subjects of our existence, are of great importancein human life.Knowledge of the laws hesitation allowed to create modern electronics, electrical engineering, many of the modern machines.Unfortunately, the vibrations do not always bring a positive effect, sometimes they bring sorrow and destruction.Unaccounted fluctuations, the cause of many accidents cause premature aging of materials, and the angular frequency resonant vibrations of bridges, dams, machine parts leads to their premature failure.The study of oscillatory processes, the ability to predict the behavior of natural and technical facilities in order to prevent their destruction or exit the operating status - the main task of many engineering applications, and inspection of industrial plants and machinery for the vibration - a required element of maintenance.
