Question

A child is swinging on a swing with a constant amplitude of 1.2m. What total distance does the child move through horizontally in 3 cycles?
A. 4.6 m
B. 9.8 m
C. 14.4 m
D. 24 m

Answer 1

Hint: A periodic variable's amplitude is a measure of how much it changes in a single period (such as time or spatial period). Amplitude is defined in a variety of ways (see below), but they're all based on the size of the disparities between the variable's extreme values. The amplitude of a period function is sometimes referred to as the phase in older writings.

 Complete step by step solution:
The difference between the peak (highest amplitude value) and the trough (lowest amplitude value) is known as peak-to-peak amplitude (lowest amplitude value, which can be negative). Peak-to-peak amplitudes of electric oscillations can be measured using suitable circuitry or by examining the waveform on an oscilloscope. Peak-to-peak is a simple oscilloscope test in which the waveform's peaks are easily detected and measured against the graticule. This is still a frequent means of expressing amplitude, however alternative amplitude measurements may be more suited in some cases.
The greatest displacement or distance moved by a point on a vibrating body or wave from its equilibrium position is called amplitude. It is equivalent to one-half of the vibration path's length.
The youngster moves \[4{\text{ }} \times {\text{ }}1.2m = 4.8m\]in one swing cycle.
The youngster moves\[3{\text{ }} \times {\text{ }}4.8m = 14.4m\] in three swing cycles.
As a result, the youngster traverses 14.4 metres in three swing cycles.

Note: Complex transient timbres can be created with waveforms having multiple overtones by assigning each overtone to its own separate transient amplitude envelope. Regrettably, this also has the effect of altering the volume of the sound. It's more logical to divide loudness and harmonic quality into distinct factors that can be adjusted separately.