Sound Velocity Calculator: Speed of Sound in Air & Water

Sound Velocity Calculator

Find the speed of sound in air by temperature, in water and seawater, and through solids like steel and aluminum. Also solve Mach number, travel time over a distance, and the lightning-to-thunder gap.

🎯Real Sound Scenarios

📝Sound Inputs

Only affects air. Uses the unit chosen below.

Used only when medium is Custom fixed speed.

Used when the fourth result is thunder distance.

Speed of sound 0 m/s in the chosen medium
In miles per hour 0 mph also shown as ft/s
Mach reference Mach 1 object Mach shown here
Travel or thunder 0 s based on selected mode

🔢Formula Snapshot

331.3Air 0°C m/s
1 + T/273.15
v = d/tTravel time
M = u/vMach number

🌍Speed of Sound by Medium

MediumSpeed m/sSpeed ft/sSpeed mphVs Air 20°CNotes
Enter values above to load the medium comparison.

🌡Air Temperature Effect

Temp °CTemp °FSpeed m/sSpeed ft/sSpeed mphVs 0°C
The temperature table appears after calculation.

Mach Number Reference

MachLabelSpeed m/sSpeed mphExample
0.30Low subsonic103230Light aircraft cruise
0.80High subsonic274614Airliner cruise speed
1.00Sonic343767Sound barrier at 20°C
1.30Transonic446997Early supersonic dash
2.00Supersonic6861535Concorde class cruise
3.20Fast supersonic10982455SR-71 reconnaissance
5.00Hypersonic17153836Scramjet test vehicle

Thunder Distance Guide

Gap (s)MilesKilometersFeetMetersRule of Thumb
The thunder distance table appears after calculation.

🗂Sound Scenario Comparison Grid

ScenarioMediumConditionSpeed m/sSpeed mphVs Air 20°C
Cold winter airAir–20°C3197130.93x
Room temperatureAir20°C3437671.00x
Hot desert dayAir45°C3588011.04x
Swimming poolFresh waterTypical148033114.31x
Ocean sonarSeawaterTypical152234054.44x
Ear on the railSteelTypical59601333217.4x

Full Formula Breakdown

Air speedv = 331.3 × √(1 + T / 273.15), where T is temperature in °C. This is the accurate ideal-gas form.
Linear checkNear room temperature v ≈ 331.3 + 0.606 × T gives almost the same answer as the square-root form.
Other mediaLiquids and solids use fixed typical speeds. Temperature input is ignored for them because stiffness and density dominate.
Unit conversionsft/s = v × 3.28084, mph = v × 2.23694, km/h = v × 3.6 from the speed in meters per second.
Travel timet = distance / v. Convert the distance to meters first, then divide by the speed of sound.
Mach numberM = object speed / v. Both must be in the same units, so the object speed is converted to m/s first.
Thunder distancedistance = gap seconds × v. Roughly 5 seconds means about 1 mile, or 3 seconds means about 1 kilometer.

📋Reference Values

ItemTypical ValueHow It Is UsedEffect on Result
Air at 0°C331.3 m/sBase speed in the formulaAnchor for the temperature curve
Temp rise+0.606 m/s per °CWarmer air moves sound fasterHigher speed and shorter travel time
Fresh water1480 m/sFixed medium speedAbout 4.3x faster than air
Steel5960 m/sFixed medium speedAbout 17x faster than air
Mach 1Equals medium speedReference for object speedObject Mach scales with it

💡Practical Sound Tips

Temperature tip: Speed of sound in air depends on temperature, not on pressure or altitude directly. Colder high-altitude air is why the sound barrier speed drops as jets climb.
Thunder tip: Count the seconds between a lightning flash and the thunder, then divide by 5 for miles or by 3 for kilometers to estimate how far away the strike was.

The reason we know lightning precedes thunder (besides watching the occasional movie) is that sound moves slower than light. That delay give us an idea of distance… Closer if the delay is brief; farther away if the gap gets longer.

That’s just one instance where measuring speed of something reveals a lot about how environment works. In this case, the speed of a pressure wave through the air depend on the material and its conditions. (The calculator does the math for you.)

How Temperature Changes Sound Speed

In our example, when you hear thunder, the sound has taken some time to travel from the cloud back to you. Why? Because your ear wait for air molecules to pick up vibration and send it along to you, whereas your eye sees light immediately.

The speed of sound isn’t a given like gravity, as many think; it change according to warmth. The warmer the air the faster its molecules move and collide, sending vibrations faster. For every 10 degrees C the speed increase about six meters/second. This is a significant variable in determining how far away a bolt of lightning hit was or how to time sound during an outdoor performance.

Why? Because we incorrectly perceive colder air as moving slowly, what’s actualy important is how fast the particles that carry the wave are moving. Sound works different in water than in air. Sound travels roughly four times as fast through water (compared to room temperature air), and although it is denser, it is also much less compressible. For example, this is why your voice does not travel far in air, but whales can reach each other from miles away.

From the table: Steel transmits vibration almost twenty times faster than air does, which is one reason engineers rely on it to sense when their frames are stressed before any damage becomes visible to the naked eye. Not only does density matter, but also material’s stiffness.

Mach numbers measure speed by dividing an object’s speed by speed of sound (for example, if it moves twice as fast than the speed of sound, it is moving Mach 2). So when we say a plane breaks the sound barrier, there’s no exact number on your speedometer they’re hitting. Depending on the weather conditions, it might still be below the sound barrier even though it is going faster then another jet over that warm runway.

That’s where the tool comes in. You can plug in various temperatures and see where the Mach speed will change. Whether it’s for a physics problem or trying to figure out a calculation in aviation, it takes the guessing out.

There’s an old saying that says five seconds equals one mile for thunder distance. That works out to about a mile per five-second interval, under average (sea level) conditions. At higher elevations, though, sound speed slow down a bit. Sound also moves faster in warm air, and slower in cold air. The calculator takes all those factors into account: no need to remember complicated atmospheric math.

It converts scientific knowledge into real-world use. Whether your goal is safety from lightning or simply following a set of moddern model airplane scale rules. It turns the intangible world of science into something tangible.

Next time you’re outdoors when thunder rolls through the area, listen carefuly. You are actualy taking a measurement of sky’s temperature without even knowing it.

Sound Velocity Calculator: Speed of Sound in Air & Water