Answer: Approximately 352.5 meters per second
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Step-by-step explanation:
The goal is to find the speed of sound when the temperature is 30 degrees Celsius. But first we need to do a temperature conversion from Celsius to Kelvin. We'll plug C = 30 into the equation
K(C) = C + 273.15
to find that,
K(30) = 30 + 273.15
K(30) = 303.15
This means 30 degrees Celsius is equivalent to 303.15 Kelvin.
We found so far that C = 30 leads to K = 303.15
We'll plug this value of K into the first function given to find that...
S(K) = sqrt(410*K)
S(303.15) = sqrt(410*303.15)
S(303.15) = 352.549996454403
S(303.15) = 352.5
The speed of sound is roughly 352.5 meters per second when the temperature is 30 degrees Celsius.
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Side notes:
- We can abbreviate "meters per second" into "m/s".
- 352.5 m/s is approximately equivalent to 788.52 mph