A sound wave is determined to have a frequency of 1,000 Hz and a wavelength of 35 cm. What is the speed of this wave? If the sound wave in the previous question is measured in air, what is the temperature of the air?

350 m/s

31°C

Explanation:

Speed of sound is given as the product of frequency and wavelength

S=fw

Where s represent the speed in m/s, f is frequency and w is wavelength

Conversion

Taking 1m to be 100 cm then 35 cm will be 35/100=0.35m

Substituting 0.35 m for w and 1000 Hz for f then

S=1000*0.35=350 m/s

speed of sound (m/s) = 331.5 + 0.60 T(°C)

350=331.5+0.6T

T=30.833333333333

The temperature is approximately 31°C