Question

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.

Answer 1

67 degree

Explanation:

The velocity of sound in air is given by the equation

`v=20√(273+t)`

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'

`369=20√(273+t)`

Divide by 20 on both sides

`18.45=√(273+t)`

Take square on both sides

`18.45^2 = 273+t`

340.4025= 273+t

Subtract 273 on both sides

67.4025 = t

Now round to nearest degree

t= 67 degrees