Question

Lol i'm going to fail please help

Scientists have found that the long slow sound produced by blue whales is almost consistently a B pitch at 16.0 Hz. The wavelength of this note is 97.5 m. How long would it take for this sound from a blue whale of scientists that is tracking them from 11 km away?

The answer is 7.1 s I just don't know how to get it :/

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Answer 1

Step-by-step explanation:

The frequency is 16.0 Hz. That means that 16 of these waves can pass a single point in 1 second. We are given frequency and wavelength. The equation that relates them is

`f=(v)/(\lambda)` where f is frequency, v is velocity, and λ is wavelength. Putting all this together:

`16.0=(v)/(97.5)` and solving for velocity,

v = 16.0(97.5) so

v = 1560 m/s. This wave can travel 1560 meters in a single second!!! Now that we know this velocity, we can use it in a proportion to find our unknown, which is how long, t, it will take to hear this sound 11000m away. (11 km is 11000m):

`(1560m)/(1s)=(11000)/(t)` and cross multiply to get

1560t = 11000 so

t = 7.1 seconds