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In an ideal gas (see The Kinetic Theory of Gases), the equation for the speed of sound is \[v = \sqrt{\frac{\gamma RT_{K}}{M}}, \label{17.6}\] where \(\gamma\) is the adiabatic index, R = 8.31 J/mol • K is the gas constant, T K is the absolute temperature in kelvins, and M is the molecular mass.
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.
26 cze 2024 · The speed of sound in a perfect gas is: \[a = \sqrt{\gamma RT}, \nonumber \] where \(R\) is the constant of the gas, \(T\) the absolute temperature, and \(\gamma\) the adiabatic coefficient which depends on the gas. In the air \(\gamma = 1.4\) and \(R = 287.05\ [J/KgK]\). Therefore, the speed of sound in the air is 340.3 [m/s] at sea level in ...
12 cze 2024 · In standard atmospheric conditions, the speed of sound in air is approximately 343 meters per second (m/s) or 768 miles per hour (mph) at sea level and at a temperature of 20°C (68°F). However, these conditions are not always present in reality.
speed = distance/time. The faster a sound wave travels, the more distance it will cover in the same period of time. If a sound wave were observed to travel a distance of 700 meters in 2 seconds, then the speed of the wave would be 350 m/s.
The derivation of the equation for the speed of sound in air starts with the mass flow rate and continuity equation discussed in Fluid Mechanics. Consider fluid flow through a pipe with cross-sectional area A ( Figure 17.7 ).
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
