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## 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 t

Question

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?

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Physics
3 years
2021-07-23T10:12:46+00:00
2021-07-23T10:12:46+00:00 1 Answers
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## Answers ( )

Answer:

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