A pendulum moves in simple harmonic motion. If a graph of the pendulum's motion is drawn with respect with respect to time, the graph will be a sine wave. Pure tones are experienced when the eardrum moves in simple harmonic motion. In these cases "wave" refers not to the thing moving, but to the graph representing the movement.
The motion of a pendulum in water will be similar to what it is in air, except it will move more slowly and loose energy much more rapidly (unless something with some "power" is keeping it going). The speed of the pendulum should graph like a sine wave with the peaks and troughs denoting the endpoints of the travel of the pendulum in its arc. The slope of the curve at any point will represent the instantaneous acceleration. If the pendulum is released and no energy is put in from outside, the graph of the speed will diminish very quickly and dramatically.
The longer the length of the pendulum, the longer the time taken for the pendulum to complete 1 oscillation.
A longer pendulum will have a smaller frequency than a shorter pendulum.
The period of a pendulum is affected by the angle created by the swing of the pendulum, the length of the attachment to the mass, and the weight of the mass on the end of the pendulum.
A simple pendulum has one piece that swings. A complex pendulum has at least two swinging parts, attached end to end. A simple pendulum is extremely predictable, while a complex pendulum is virtually impossible to accurately predict.
The wave pendulum was first demonstrated by Richard Berg in the 1980s. It consists of an array of swinging pendulums that transfer kinetic energy in a wave-like pattern, creating mesmerizing visual patterns.
A pendulum wave is a captivating demonstration where a series of pendulums with increasing lengths are set in motion simultaneously. This creates a mesmerizing visual effect as the pendulums swing in a rhythmic pattern, appearing to create wave-like movements. Pendulum waves are often used as a physics demonstration to showcase principles of harmonics and oscillation.
A pendulum does not exhibit the characteristics of a wave, such as periodic oscillation or propagation through a medium. Instead, it follows a repetitive back-and-forth motion under the influence of gravity. Waves, on the other hand, involve the transfer of energy through a medium in the form of oscillations.
Examples of pendulum motion include a grandfather clock pendulum swinging back and forth, a playground swing moving back and forth, and a metronome ticking back and forth.
Sine curve
The motion of a pendulum is like that of a wave because both have regular oscillations back and forth. The swinging motion of a pendulum can be described in terms of its frequency and amplitude, similar to how a wave can be characterized by its frequency and wavelength. Additionally, both pendulum motion and wave motion involve the transfer of energy.
Peristalsis is pendulum-like in the esophagus. This process helps to move food from the mouth to the stomach by contracting and relaxing the muscles in a coordinated wave-like motion.
To illustrate the graph of a simple pendulum, you can plot the displacement (angle) of the pendulum on the x-axis and the corresponding period of oscillation on the y-axis. As the pendulum swings back and forth, you can record the angle and time taken for each oscillation to create the graph. The resulting graph will show the relationship between displacement and period for the simple pendulum.
A pendulum can trace out a sinusoidal curve by swinging back and forth under the influence of gravity. As the pendulum swings, it undergoes simple harmonic motion with a sinusoidal pattern, where the displacement of the pendulum from its resting position follows a sine wave. By recording the position of the pendulum at different points in time, you can create a graph that shows a sinusoidal curve.
A swinging pendulum is an example of mechanical energy. As the pendulum moves back and forth, it alternates between potential energy at its highest points and kinetic energy at its lowest points. This transfer between potential and kinetic energy represents mechanical energy.
The motion of a pendulum in water will be similar to what it is in air, except it will move more slowly and loose energy much more rapidly (unless something with some "power" is keeping it going). The speed of the pendulum should graph like a sine wave with the peaks and troughs denoting the endpoints of the travel of the pendulum in its arc. The slope of the curve at any point will represent the instantaneous acceleration. If the pendulum is released and no energy is put in from outside, the graph of the speed will diminish very quickly and dramatically.
Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.