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Speed of Sound Calculator

Calculate speed of sound in air from temperature, humidity, and gas properties with Mach number.

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Speed of Sound in Air

The speed of sound in an ideal gas depends on temperature and the ratio of specific heats. For dry air near sea level:

$$v = \sqrt{\frac{\gamma R T}{M}}$$

where \(\gamma \approx 1.4\), \(R = 8.314\ \text{J/(mol·K)}\), \(T\) is absolute temperature in kelvin, and \(M \approx 0.02896\ \text{kg/mol}\) is the molar mass of dry air. Humidity lowers the effective molar mass slightly, increasing the speed of sound.

At 20 °C, \(v \approx 343\) m/s. The Mach number is the ratio of an object's velocity to the local speed of sound: \(\text{Ma} = v_{\text{object}} / v_{\text{sound}}\).

Frequently Asked Questions

How does temperature affect sound speed?

Sound travels faster in warmer air because \(v \propto \sqrt{T}\). Each degree Celsius changes speed by roughly 0.6 m/s near room temperature.

Does humidity matter?

Yes, but the effect is small. Water vapor is lighter than dry air, so humid air has a slightly higher speed of sound.

What is Mach 1?

Mach 1 means the object moves at the local speed of sound. Subsonic flow is below Mach 1; supersonic is above it.