How to Measure the Distance Between Two Locations Using Sound

You don't necessarily need a tape measure to measure distances. It's possible to measure the distance between two locations using sound. Sound waves travel at a predictable rate. The velocity of sound waves as they travel through a gassy medium, such as air, depends upon the temperature of the air. Once the sound wave velocity is calculated, you can also work out the distance from one location to another based on the echo produced between these two points. Knowing the velocity of the sound wave, and the time lapse between the initial sound and its echo, you can determine distance.

Things You'll Need

  • Thermometer
  • Calculator
  • Pencil
  • Paper
  • Ultrasonic transmitter and receiver
  • Stopwatch
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Instructions

    • 1

      Determine the current Celsius temperature of the air. Find a shady spot and use your thermometer to take a reading. If you're using a thermometer that only gives readings in Fahrenheit degrees, use the following formula to convert your Fahrenheit reading to Celsius: Subtract 32 from your temperature reading, then divide the result by 1.8.

    • 2

      Calculate the velocity of sound wave travel given the current air temperature. Use the following formula: 331.5 + (0.6 x T) = V. Where T equal air temperature in Celsius degrees; and V equals velocity in meters per second. For example, at 22.2 degrees Celsius sound travels at roughly 344.8 meters per second because 331.5 + (0.6 x 22.2) = 344.82.

    • 3

      Convert your sound wave velocity from meters per second to feet per second (optional). Multiply the result in step two by 3.281.

    • 4

      Determine the time it takes for sound to echo back to you from your chosen location. Use your ultrasonic transmitter and receiver. Aim your ultrasonic transmitter at an object a short distance away; begin your stopwatch as you send out a pulse. Stop your stopwatch when your receiver registers the pulse echo. The pulse transmission range of your ultrasonic transmitter will depend upon its power capacity.

    • 5

      Calculate the distance. Distance equals velocity multiplied by time. But since you measured the time it took for sound to travel to one point and reflect back to you, you need to use the following formula: (Velocity x Time) / 2 = Distance.

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