Speed of Sound Calculator

Find the speed of sound in air at a temperature.

Speed of sound 343.42
Speed of sound 768.21

Formula: v = 331.3 + 0.606 × T(°C)

Step-by-step with your numbers:
1. Values used:
2. Air temperature = 20 °C
3.
4. Speed of sound = 343.42
5. Speed of sound = 768.21
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Sound travels faster in warmer air.

How the Math Works

The Speed of Sound Calculator uses the formula v = 331.3 + 0.606 × T(°C) to determine how fast sound travels through air. This equation accounts for the fact that sound moves approximately 331.3 meters per second at 0°C, and increases by about 0.606 meters per second for each degree Celsius rise in temperature. The formula is derived from the physics of gas behavior, where warmer air molecules move more energetically, allowing sound waves to propagate faster. Simply enter the current air temperature in Celsius, multiply by 0.606, and add 331.3 to find the speed of sound in meters per second.

Practical Applications

To use this calculator practically, first measure or obtain the ambient air temperature in degrees Celsius. For example, if the temperature is 25°C, multiply 25 by 0.606 to get 15.15, then add 331.3 to find that sound travels at approximately 346.45 m/s. This calculation is essential for acoustical engineering projects, weather balloon telemetry analysis, and scientific experiments where precise sound propagation measurements are required. Professionals in music production, construction, and atmospheric science frequently rely on this temperature-dependent relationship to calibrate equipment and predict sound behavior in different environments.

Day-to-Day Use

Understanding the speed of sound helps explain everyday phenomena like thunder and lightning delays, where you see lightning first and hear thunder seconds later. At typical room temperatures around 20-25°C, sound travels at roughly 343-346 meters per second, meaning you're only about 340 meters away from a thunderclap when you first hear it. This knowledge aids in outdoor event planning, where sound engineers use temperature corrections to position speakers properly, and helps weather enthusiasts estimate storm distances by counting seconds between flashes and booms. Even when tuning musical instruments outdoors, knowing how temperature affects sound speed can improve accuracy.

Worked example

20 °C → 343.4 m/s.

FAQ

In water?

Much faster — about 1,480 m/s.