Measuring the speed of sound in air
The air is made up of many tiny particles. When sound is created, the air particles vibrate and collide with each other, causing the vibrations to pass between air particles. The vibrating particles pass the sound through to a person鈥檚 ear and vibrate the ear drum.
Light travels much faster than sound through air. For example, a person fires a starting pistol and raises their hand in the air at the same time. A distant observer standing 400 metres (m) away records the time between seeing the action (the light reaches the timekeeper immediately) and hearing the sound (which takes more time to cover the same distance).
The speed of sound can be calculated using the equation:
\(speed \ = \frac{distance}{time}\)
\(v \ = \frac{x}{t}\)
This is when:
- wave speed (v) is measured in metres per second (m/s)
- distance (x) is measured in metres (m)
- time (t) is measured in seconds (s)
Example calculation
An observer 400 m away records a 1.2 s time difference between seeing the hand signal and hearing the bang of the starting pistol.
\(v \ = \frac{x}{t}\)
\(v \ = 400 \div 1.2\)
\(v \ = 333 \ m/s \ (3 \ sf)\)
The accepted value for the speed of sound in air is 330 m/s.
However, this experimental method is flawed as humans do not use stop clocks identically to one another. One person might stop the timer a fraction of a second later than another person. The values recorded will be dependent on the reaction time of the observer, and will not be entirely accurate 鈥 this explains why the answer of 333 m/s is slightly above the accepted value for the speed of sound in air.