Whenever children swing on the playground swings, they always attract the attention of people around them. This simple game actually contains profound physics principles, especially the concept of parametric oscillators. This article will lead readers to an in-depth understanding of why children's swings can achieve such amazing swings under delicate balance.
In physics, a parametric oscillator is a driven resonator whose oscillations are caused by changes in some parameters of the system at a specific frequency. Take a swing as an example. When a child changes the oscillation amplitude of the swing by standing and squatting, he is actually driving the swing by changing the moment of inertia. Such "pumping" must be exactly twice the oscillation frequency of the swing in order to effectively increase the swing amplitude of the swing.
The operating principle of a parametric oscillator can be seen in the simple standing wave phenomenon.
In a parametric oscillator, the parameters we can adjust include the resonant frequency and damping of the oscillator. This phenomenon is widespread in countless physics applications, such as parametric oscillators of varactor diodes operating in semiconductors. This oscillator drives a resonant circuit or cavity resonator by changing the capacitance of the diode. This is the concept of "drive" or "pump".
The simple swing game can actually be thought of as a classic parametric oscillator. As children swing backwards and forwards on a swing, they are not only experiencing the effects of gravity, but they are also using their own body weight and movements to affect the movement of the swing. Research shows that when children master the proper rhythm, they are able to maximize the swing of the swing because the frequency at which they "pump" the swing resonates with the natural frequency of the swing.
As early as 1831, Michael Faraday first observed the phenomenon of oscillations caused by the interaction of the frequency of a force with the frequency of resonance. Over time, many physicists studied this phenomenon, including Franz Melder, who used parametric oscillations induced on strings by tuning forks to lay the foundation for subsequent theories. The invention of the varactor diode in 1956 made it possible to use parametric amplifiers in the microwave frequency range and is widely used in modern radio receivers.
Parametric amplifiers utilize variable responses rather than noise-generating resistance, which is their main advantage.
For children, every swing on the swing is a balance test between the body and gravity. When the swing is at its maximum height, the child's action of standing up will instantly raise his or her center of gravity, and on the way down, gravity will be used to increase the movement energy again. This "pumping" action effectively pumps energy back into the system, allowing the swing to reach greater heights with each swing.
Through these actions, children perfectly combine play with physics. Children who experience parametric oscillation firsthand inadvertently learn about resonance, energy transfer, and the close connection between action and result. This makes people think, how many other swing-like phenomena hide scientific mysteries in our lives?