Αποτελέσματα Αναζήτησης
In the previous section, we described periodic waves by their characteristics of wavelength, period, amplitude, and wave speed of the wave. Waves can also be described by the motion of the particles of the medium through which the waves move.
- 17.3: Speed of Sound
In general, the equation for the speed of a mechanical wave...
- 17.3: Speed of Sound
1 Οκτ 2024 · Step 1: List the known quantities. Step 2: Write out the wave speed equation. Step 3: Rearrange the equation to calculate the wavelength. Step 4: Use the frequency you calculated in part (a) and put the values into the equation. When stating equations make sure you use the right letters. For example, use λ for wavelength, not L or W.
The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves).
As an example, for water waves, v w is the speed of a surface wave; for sound, v w is the speed of sound; and for visible light, v w is the speed of light. The amplitude X is completely independent of the speed of propagation v w and depends only on the amount of energy in the wave.
The wave speed is the distance traveled per time ratio. But wave speed can also be calculated as the product of frequency and wavelength. In this Lesson, the why and the how are explained.
In general, the equation for the speed of a mechanical wave in a medium depends on the square root of the restoring force, or the elastic property, divided by the inertial property, v = √elastic property inertial property. Also, sound waves satisfy the wave equation derived in Waves, ∂2y(x, t) ∂x2 = 1 v2 ∂2y(x, t) ∂t2.
In the case of a wave, the speed is the distance traveled by a given point on the wave (such as a crest) in a given interval of time. In equation form, If the crest of an ocean wave moves a distance of 20 meters in 10 seconds, then the speed of the ocean wave is 2.0 m/s.
