Calculate Speed of Sound 68 Degrees Fahrenheit
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Reviewed by Calculator Editorial Team
The speed of sound is a fundamental property of air that varies with temperature. At 68°F (20°C), the speed of sound in dry air is approximately 1,125 feet per second (342 meters per second). This calculator provides precise calculations and explains how temperature affects sound propagation.
How to Calculate Speed of Sound
The speed of sound in air depends primarily on temperature. The relationship between these two variables is described by a simple formula that accounts for the properties of air and the speed at which sound waves travel through it.
Note: This calculation assumes standard atmospheric pressure and dry air conditions. Humidity and altitude can affect the speed of sound, but these factors are not included in this basic calculation.
Steps to Calculate
- Determine the temperature in degrees Fahrenheit.
- Convert the temperature to degrees Celsius if needed.
- Apply the speed of sound formula to get the result in feet per second or meters per second.
The Formula
The speed of sound in air (v) can be calculated using the following formula:
v = 1,086 * √(T + 459.67)
Where:
- v = speed of sound in feet per second
- T = temperature in degrees Fahrenheit
This formula is derived from the ideal gas law and accounts for the relationship between temperature and the speed at which sound waves travel through air.
Worked Example
Let's calculate the speed of sound at 68°F:
v = 1,086 * √(68 + 459.67)
v = 1,086 * √(527.67)
v = 1,086 * 22.97
v ≈ 1,125 feet per second
So, at 68°F, the speed of sound is approximately 1,125 feet per second.
Factors Affecting Speed of Sound
The speed of sound is influenced by several factors, including:
- Temperature: Sound travels faster in warmer air and slower in cooler air.
- Humidity: Moist air has a slightly higher speed of sound than dry air.
- Altitude: The speed of sound decreases with increasing altitude due to lower air density.
- Composition of Air: The presence of other gases can affect the speed of sound.
This calculator provides the basic speed of sound for dry air at standard atmospheric pressure.
Practical Applications
Understanding the speed of sound at different temperatures has several practical applications:
- Acoustics: Designing concert halls and recording studios requires knowledge of how sound behaves at different temperatures.
- Meteorology: Weather forecasting and storm tracking rely on accurate measurements of sound speed.
- Engineering: Engineers use this information when designing systems that rely on sound waves.
- Everyday Life: Understanding how temperature affects sound can help with activities like tuning musical instruments or interpreting weather conditions.