SOLUTION: The velocity of sound is given by {{{v=20*sqrt(273t^6)}}}. Find the temperature when the velocity is 348 m/s

Question 148253: The velocity of sound is given by . Find the temperature when the velocity is 348 m/s
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in

Divide both sides by 20.

Square both sides.

Square 17.4 to get 302.6

Divide both sides by 273.

Take the 6th root of both sides to isolate t.

Take the 6th root of 1.10842 to get 1.0173

Now round to the nearest degree

So when the temperature is 1 degree Celcius, then the approximate velocity of sound is 348 meters per second
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