Question

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 Find the temperature when the velocity of sound in air is 358 meters per second
Round to the nearest degree.

A. 6,681°C

B. 6,135°C

C. 502°C

D. 47°C​

Answer 1

D. 47°C

Explanation:

v = 358 m/s

358 = 20√(273 + t)

358 : 20 = √(273 + t)

17.9 = √(273 + t)

17.9^2 = 273 + t

320.41 = 273 + t

320.41 - 273 = t

t = 47.41 ≈ 47