The Speed of Sound

What is the speed of sound?

The speed of sound is the distance travelled by a sound wave as it propagates through an elastic medium.

Calculation:  Speed = distance / time

What speed does sound travel thru the air?

The speed of sound varies depending on the temperature of the air through which the sound moves.  The speed of sound also varies depending on the type of gas through which the sound moves (pure oxygen, carbon dioxide, etc.)

In air at room temperature the speed of sound travels at 346 meters per second.

At freezing temperatures the air molecules vibrate slower and sound travels at 331.5 meters per second.

On earth and at sea level with an air temperature of 15 degrees Celsius the speed of sound is 1225 km/h or 761.2 mph.  The speed to break the sound barrier decreases higher in the atmosphere, where temperatures are colder

The Temperature and the speed of sound can be calculated as follows:

Convert the air temperature in °C or °F, first to kelvins.

Add 1 to the temperature in kelvins and take the square root.

Multiply the result from Step 2 by 331.3.

The answer is the speed of sound in air in m/s.

What is Mach 1?

It is a number that is a ratio of the speed of a body (car/aircraft) to the speed of sound in an undisturbed medium through which the body is travelling.  The numbers came into use in 1929 and are named after Ernst Mach (1838-1916).

Calculation: Ratio = Object Speed / Speed of Sound = Mach Number.

What happens when you break Mach 1?

Anything exceeding the speed of sound creates a “sonic boom”.  An airplane, bullet etc.   

Nasa reached Mach 10 speed in 2004 when it launched X-43-A the first air-breathing hypersonic vehicle into the atmosphere (7000mph @ approximately 110 000 feet)

Why is the speed of sound maximum in solids?

The molecules are closer together in a solid medium which allows the sound waves to travel more quickly through it.

Speed of Sound in Solids

Material Longitude

M/s

Shear

M/s

Extensional

M/s

Aluminum, rolled 6420 3040 5000
Antimony 3400
Beryllium 12890 8880 12870
Bismut 2180 1790
Brass (70% Cu, 30% Zn) 4700 2110 3480
Brick 4200 3600
Cadmium 2780 2400
Concrete 3700 3200
Constantan 5177 2625 4270
Copper, annealed 4760 2325 3810
Copper, rolled 5010 2270 3750
Cork 518 366
Diamond 12000
Duralumin 6320 3130 5150
Glass, heavy silicate flint 3980 2380 3720
Glass, light borate crown 5100 2840 4540
Glass, pyrex 5640 3280 5140
Gold, hard drawn 3240 1200 2030
Granite 5950
Iridium 4790
Iron, cast 4994 2809 4480
Iron, electrolytic 5950 3240 5120
Ivory 3010
Lead, annealed 2160 700 1190
Lead, rolled 1960 690 1210
Lucite 2680 1100 1840
Magnesium, annealed 5770 3050 4940
Manganese 4660 3830
Marble 3810
Molybdenum 6250 3350 5400
Monel 5350 2720 4400
Nickel 6040 3000 4900
Nylon 6/6 2620 1070 1800
Platinum 3260 1730 2800
Polyethylene 1950 540 920
Polystyrene 2350 1120 1840
Rubber, butyl 1830
Rubber, gum 1550
Rubber, neoprene 1600
Silica, fused 5968 3764 5760
Silver 3650 1610 2680
Slate 4510
Steel (1% C) 5940 3220 5180
Steel, stainless 5790 3100 5000
Tantalium 3350
Tin, rolled 3320 1670 2730
Titanium 6070 3125 5090
Tungsten, annealed 5220 2890 4620
Tungsten, drawn 5410 2640 4320
Tungsten carbide 6655 3980 6220
Wood (hard) 3960
Zinc, rolled 4210 2440 3850

*The above is a guide only.  Actual values may differ slightly due to temperature, composition etc.

Speed of Sound in water.

The Speed of sound in water travels faster than the speed of sound in air.  Under normal conditions 1,480 meters per second.  Speed of sound in water molecules bound in ice form have a speed of sound more than twice as fast as in liquid water. 

Speed of Sound in Water at various Temperatures

Temp (ºC) Meters/second
0 1402
1 1407
2 1412
3 1417
4 1421
5 1426
6 1430
7 1434
10 1447
20 1481
30 1507
40 1526
50 1541
60 1552
70 1555
80 1555
90 1550
100 1543

Speed of Sound thru Liquids

Material Meters/second Temp (ºC)
Chloroform 1004 20
Ethanol 1162 20
Mercury 1450 20
Water 1482 20

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