Questions: What is the speed of sound measured in miles per hour? (Give your answer to the nearest whole number.)

What is the speed of sound measured in miles per hour? (Give your answer to the nearest whole number.)
Transcript text: What is the speed of sound measured in miles per hour? (Give your answer to the nearest whole number.)
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Solution

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Solution Steps

Step 1: Understand the Speed of Sound in Air

The speed of sound in air at sea level and at a temperature of 20°C (68°F) is approximately 343 meters per second (m/s).

Step 2: Convert Meters per Second to Miles per Hour

To convert the speed from meters per second to miles per hour, we use the conversion factors:

  • 1 mile = 1609.34 meters
  • 1 hour = 3600 seconds

The conversion formula is: \[ \text{Speed in mph} = \text{Speed in m/s} \times \frac{3600 \text{ s/h}}{1609.34 \text{ m/mile}} \]

Step 3: Calculate the Speed in Miles per Hour

Substitute the speed of sound in meters per second into the conversion formula: \[ \text{Speed in mph} = 343 \times \frac{3600}{1609.34} \approx 767.2691 \]

Step 4: Round to the Nearest Whole Number

Round the calculated speed to the nearest whole number: \[ \text{Speed in mph} \approx 767 \]

Final Answer

The speed of sound is approximately \(\boxed{767}\) miles per hour.

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