The coldest and hottest temperatures ever recorded in the United States are -83°F and 135°F, respectively. What is the speed of sound in air at each temperature?
To find the speed of sound in air at a given temperature, we can use the formula:
Speed of sound = 331.4 + 0.6 * temperature
Let's calculate the speed of sound at -83°F:
Speed of sound at -83°F = 331.4 + 0.6 * (-83)
= 331.4 + (-49.8)
= 281.6 m/s
Now let's calculate the speed of sound at 135°F:
Speed of sound at 135°F = 331.4 + 0.6 * 135
= 331.4 + 81
= 412.4 m/s
Therefore, the speed of sound at -83°F is 281.6 m/s and the speed of sound at 135°F is 412.4 m/s.
The speed of sound in air depends on temperature, as sound travels faster in warmer air. The formula to calculate the speed of sound is given by:
Speed of Sound (in meters per second) = 331.4 + (0.6 x Temperature in Celsius)
First, let's convert the temperatures:
-83°F = -64°C
135°F = 57°C
Now, we can calculate the speed of sound at each temperature:
For -83°F (-64°C):
Speed of Sound = 331.4 + (0.6 x -64) = 331.4 - 38.4 = 293 meters per second
For 135°F (57°C):
Speed of Sound = 331.4 + (0.6 x 57) = 331.4 + 34.2 = 365.6 meters per second
Therefore, the speed of sound in air at -83°F (-64°C) is approximately 293 meters per second, and at 135°F (57°C) is approximately 365.6 meters per second.