The speed of sound in air at 0°C is 331 m/s. What is the speed of sound in air at a temperature of −30°C?
Question
The speed of sound in air at 0°C is 331 m/s. What is the speed of sound in air at a temperature of −30°C?
Solution
The speed of sound in air is affected by the temperature of the air. The relationship between the speed of sound and the temperature is given by the formula:
v = 331.4 + 0.6T
where v is the speed of sound and T is the temperature in degrees Celsius.
- First, substitute the given temperature into the formula. In this case, T = -30°C.
v = 331.4 + 0.6(-30)
- Then, perform the multiplication:
v = 331.4 - 18
- Finally, perform the subtraction to find the speed of sound:
v = 313.4 m/s
So, the speed of sound in air at a temperature of -30°C is 313.4 m/s.
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