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Temperature Formula:
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The formula calculates temperature in Kelvin based on the velocity of sound in air. It provides a relationship between the speed of sound and the temperature of the medium through which it travels.
The calculator uses the formula:
Where:
Explanation: This formula establishes a direct mathematical relationship between the speed of sound in air and the temperature of the air, allowing temperature calculation from sound velocity measurements.
Details: Accurate temperature calculation from sound velocity is important in various scientific and engineering applications, including atmospheric studies, acoustic measurements, and environmental monitoring where direct temperature measurement may be challenging.
Tips: Enter the velocity of sound wave in meters per second. The value must be valid (velocity > 0). The calculator will compute the corresponding temperature in Kelvin.
Q1: Why is 20.05 used as the constant in this formula?
A: The constant 20.05 is derived from the relationship between sound velocity and temperature in air, specifically related to the square root of the ratio of specific heats and the gas constant for air.
Q2: What is the typical range of sound velocity in air?
A: At room temperature (20°C), sound travels at approximately 343 m/s in air. The velocity increases with temperature, typically ranging from about 330 m/s to 350 m/s for common atmospheric conditions.
Q3: How accurate is this calculation method?
A: This formula provides a good approximation for temperature calculation from sound velocity in standard atmospheric conditions, though accuracy may vary with humidity and atmospheric pressure variations.
Q4: Can this formula be used for other gases besides air?
A: This specific formula with the 20.05 constant is designed for air. Different constants would be needed for other gases, as sound velocity depends on the specific gas properties.
Q5: What are practical applications of this calculation?
A: This calculation is useful in meteorology, acoustic engineering, environmental monitoring, and various scientific experiments where temperature needs to be determined indirectly through sound velocity measurements.