The
equation of velocity of sound in air is v = 20 √(273 + t). In this problem, we
need to find the temperature when the velocity is 329 meters/s. You need
to measure the time it takes a sound to travel a
measured distance in order to measure its speed in air.
Given:
Velocity
of sound in air equation = v = 20 √(273 + t)
Velocity
= 329 m/s
To
solve:
V = 20 √(273 + t)
329 = 20 * sqrt(273 + t)
16.45 = sqrt(273 + t)
273 + t = 16.45^2
t- 16.45^2-273
t = -2.4 degrees Celsius
So, the
temperature when the velocity is 329 meters per second is -2.4 degrees Celsius.
