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Determine the speed of sound in different media. Derive the equation for the speed of sound in air. Determine the speed of sound in air for a given temperature. Sound, like all waves, travels at a certain speed and has the properties of frequency and wavelength.
- 17.2: Speed of Sound, Frequency, and Wavelength
The speed of sound is affected by temperature in a given...
- 17.2: Speed of Sound, Frequency, and Wavelength
Explain the relationship between wavelength and frequency of sound; Determine the speed of sound in different media; Derive the equation for the speed of sound in air; Determine the speed of sound in air for a given temperature
Determine the speed of sound in different media. Derive the equation for the speed of sound in air. Determine the speed of sound in air for a given temperature. Sound, like all waves, travels at a certain speed and has the properties of frequency and wavelength.
The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. More simply, the speed of sound is how fast vibrations travel. At 20 °C (68 °F), the speed of sound in air is about 343 m/s (1,125 ft/s; 1,235 km/h; 767 mph; 667 kn), or 1 km in 2.91 s or one mile in 4.69 s.
The speed of sound is affected by temperature in a given medium. For air at sea level, the speed of sound is given by \[v_w = (331 \, m/s)\sqrt{\dfrac{T}{273 \, K}},\] where the temperature (denoted as \(T\)) is in units of kelvin. The speed of sound in gases is related to the average speed of particles in the gas, \(v_{rms}\), and that
Online calculator, figures and tables showing density, specific weight and thermal expansion coefficients of air at temperatures ranging -100 to 1600 °C (-140 to 2900 °F) at atmospheric and higher pressure - Imperial and SI Units.
ρ = density (kg/m3, lb/ft3) This equation is valid for liquids, solids and gases. The sound travels faster through media with higher elasticity and/or lower density. If a medium is not compressible at all - incompressible - the speed of sound is infinite (c ≈ ∞).