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

Solution Steps

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).

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

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

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

Final Answer