Question

Temperature affects the speed of sound. The speed (v) of sound near Earth's surface, in

meters per second, is given by v = 20vt + 273, where t stands for the temperature of

the air in degrees Celsius. If the speed of sounds is 300 meters per second, what is the

temperature in degrees Celsius?

Answer 1

The temperature in degrees Celsius is -48°C .

Explanation:

The given equation is:

v = 20√[t + 273]

Therefore, rearranging we get:

(v / 20)² = t + 273

t = (v / 20)² - 273

but the speed of sound, v, is equal to 300 m/s

Therefore,

t = (300 / 20)² - 273

t = -48°C

Therefore, the temperature in degrees Celsius is -48°C .