For long range communication an elephant uses a low frequency rumble that is undetectable to human ears. One elephant can pick up another elephant's call from a distance of 10 km. The frequency of this rumble is about 13 Hz. How fast does the rumble travel?
It ravels at the usual speed of sound. The numbers you have provided won't help tell you what it is.
To determine how fast the rumble travels, we need to calculate the speed of sound in air. The speed of sound in air can be approximated by the equation:
Speed = Frequency * Wavelength
where Speed is the speed of sound, Frequency is the frequency of the rumble, and Wavelength is the distance between consecutive crests or troughs of the sound wave.
First, we need to find the wavelength. The formula for wavelength is:
Wavelength = Speed / Frequency
Substituting the given values into the formula, we have:
Wavelength = Speed / 13 Hz
To calculate the wavelength, we need to know the speed of sound in air. The speed of sound in dry air at room temperature (approximately 20°C) is around 343 meters per second (m/s). Now we can solve for the wavelength:
Wavelength = 343 m/s / 13 Hz
Wavelength ≈ 26.38 meters (m)
Now we can determine the speed of the rumble by multiplying the frequency (13 Hz) by the wavelength (26.38 m):
Speed = 13 Hz * 26.38 m
Speed ≈ 342.94 meters per second (m/s)
Therefore, the rumble travels at a speed of approximately 342.94 m/s.