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

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


   

Question 148253: The velocity of sound is given by v=20%2Asqrt%28273t%5E6%29. Find the temperature when the velocity is 348 m/s
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
v=20%2Asqrt%28273t%5E6%29 Start with the given equation.


348=20%2Asqrt%28273t%5E6%29 Plug in v=384


17.4=sqrt%28273t%5E6%29 Divide both sides by 20.


%2817.4%29%5E2=273t%5E6 Square both sides.


302.6=273t%5E6 Square 17.4 to get 302.6


1.10842=t%5E6 Divide both sides by 273.


root%286%2C1.10842%29=t Take the 6th root of both sides to isolate t.


1.0173=t Take the 6th root of 1.10842 to get 1.0173


t=1 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