The velocity of sound in air is given by the equation v = 20 √273 + where v is the velocity in meters per second and t is the temperature in degrees Celsius. Find the temperature when the velocity of sound in air is 369 meters per second. Round to the nearest degree.

Respuesta :

Answer:

67 degree

Step-by-step explanation:

The velocity of sound in air is given by the equation

[tex]v=20\sqrt{273+t}[/tex]

where v is the velocity in meters per second and t is the temperature in degrees Celsius.

Given the velocity of sound in air is 369 that is our 'v'

We need to find out 't'

[tex]369=20\sqrt{273+t}[/tex]

Divide by 20 on both sides

[tex]18.45=\sqrt{273+t}[/tex]

Take square on both sides

[tex]18.45^2 = 273+t[/tex]

340.4025= 273+t

Subtract 273 on both sides

67.4025 = t

Now round to nearest degree

t= 67 degrees