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What Is The Speed Of Sound In Mph

Speed of Sound Formula:

\[ v \approx 767 \text{ mph at } 20^\circ\text{C} \]

°C

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1. What Is The Speed Of Sound In Mph?

The speed of sound in miles per hour (mph) is approximately 767 mph at 20°C (68°F) in dry air. This value varies with temperature, humidity, and atmospheric pressure.

2. How Does The Calculator Work?

The calculator uses the simplified formula:

\[ v \approx 767 + 1.1 \times (T - 20) \text{ mph} \]

Where:

Explanation: The speed of sound increases by approximately 1.1 mph for each degree Celsius increase in temperature.

3. Importance Of Speed Of Sound Calculation

Details: Knowing the speed of sound is crucial for various applications including aviation, meteorology, acoustics, and military operations. It helps in calculating Mach numbers, sound propagation, and sonic boom effects.

4. Using The Calculator

Tips: Enter temperature in degrees Celsius. The calculator will provide the approximate speed of sound in mph at that temperature.

5. Frequently Asked Questions (FAQ)

Q1: Why does the speed of sound vary with temperature?
A: Sound travels faster in warmer air because the molecules move more rapidly and transmit vibrations more quickly.

Q2: What is the speed of sound at different altitudes?
A: The speed decreases with altitude due to lower temperatures, though pressure and humidity also play roles.

Q3: How accurate is this approximation?
A: This provides a reasonable estimate for typical atmospheric conditions, but precise calculations require more complex formulas accounting for humidity and pressure.

Q4: What is Mach 1 in mph?
A: Mach 1 equals the speed of sound, so approximately 767 mph at 20°C. This varies with environmental conditions.

Q5: Does sound travel faster in water or air?
A: Sound travels about 4 times faster in water (approximately 3,350 mph) than in air due to water's higher density.

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