Final answer:
The speed of sound in the Sahara Desert at an air temperature of 56.0°C is approximately 364.6 meters per second, calculated using the temperature-dependent formula for sound speed in air.
Step-by-step explanation:
The speed of sound in air is dependent on the temperature of the air. The formula for the speed of sound in air as a function of temperature is:
\(v = v_0 + (0.6 \times T)\)
where:
- v is the speed of sound in air at temperature T
- v_0 is the speed of sound in air at 0°C, which is 331 m/s
- T is the air temperature in degrees Celsius
For the Sahara Desert with an air temperature of 56.0°C, we can calculate the speed of sound:
\(v = 331 + (0.6 \times 56)\)
\(v = 331 + 33.6\)
\(v = 364.6 \, \text{m/s}\)
Therefore, the speed of sound in the Sahara Desert at 56.0°C is approximately 364.6 meters per second.