Question: The speed of sound in air, s, in metres per second, is related to the temperature, t, in degrees Celsius, by formula s =√(401(273+t) ). How much greater is the speed of sound on a day when the temperature is 30◦C than on a day when the temperature is -20◦C? Express your answer to the nearest metre per second.
Since there are two temperatures, you can find two s's.
So find 30◦C first.273+30=303
303x401 = 121503
√121503 = 348.57
Then you find the second one -20◦C.
273+ -20 = 253
253x401 = 101453
√101453 = 318.52
Then I did.
348.57 - 318.52 = 30.05
S.S: The speed of sound on a day when the temperature is 30 degrees C is greater by 30m/s than on a day when the temp. is -20 degrees C.