The speed of sound in a certain medium is 960 m/s. If 3600 waves pass over a certain point in 1 minute, what is the wavelength?

Question

13-09-2024
Physics

High School

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The speed of sound in a certain medium is 960 m/s. If 3600 waves pass over a certain point in 1 minute, what is the wavelength?

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hrrendera hrrendera · Answer 1 · 2024-03-03T12:21:16-05:00

The wavelength, given the speed of sound as 960 m/s and a frequency of 60 Hz (3600 waves per minute), is calculated to be 16 meters.

To calculate the wavelength when given the speed of sound in a medium and the number of waves passing a point in a given time, we use the formula 'v = f × λ', where 'v' is the speed of sound, 'f' is the frequency, and 'λ' is the wavelength. The speed of sound in the given medium is 960 m/s, and with 3600 waves passing in one minute, we have a frequency 'f' of 3600 waves per 60 seconds (or 60 waves per second).

The speed of sound in a certain medium is 960 m/s. If 3600 waves pass over a certain point in 1 minute, then the wavelength can be calculated using the formula: Wavelength = Speed of Sound / Frequency.

Given: Speed of sound = 960 m/s and Waves passing = 3600 waves/minute.To find the wavelength 'λ', we rearrange the formula to 'λ = v / f'. Substituting the known values into the equation gives us 'λ = 960 m/s / 60 Hz', which simplifies to 'λ = 16 meters'. Thus, the wavelength is 16 meters.