An american system of communication is based on the radio frequency of 76 Hz. Compute the wavelength of theses waves and compare it to the diameter of the earth.
distance = speed * time
wavelength = speed * period
= speed / frequency
= 3 * 10^8 m/s / 76 = 3.95 * 10^6 meters
= 3950 km
Either you have a typo or you are talking about a super low frequency system that is used to communicate with submarines underwater.
It is 360 degrees around the equator each of 60 nautial miles
so
pi D = 60 * 360 = 21600 nautical miles circumference so
D = 6875 nautical miles = 12,733km
3950/12,733 = .31
radio wave is about 1/3 earth diameter
To compute the wavelength of the radio waves, we can use the formula:
Wavelength = Speed of Light / Frequency
The speed of light in a vacuum is approximately 3 x 10^8 meters per second.
Given that the radio frequency is 76 Hz, we can plug these values into the formula:
Wavelength = (3 x 10^8 m/s) / 76 Hz
Calculating this equation yields:
Wavelength = 3.947 x 10^6 meters
The diameter of the Earth is approximately 12,742 kilometers, which is equivalent to 12,742,000 meters.
Comparing the wavelength of the radio waves to the diameter of the Earth:
Wavelength / Diameter of Earth = (3.947 x 10^6 meters) / (12,742,000 meters)
Dividing these values gives us:
Wavelength / Diameter of Earth ≈ 0.309
Therefore, the wavelength of the radio waves is approximately 0.309 times the diameter of the Earth.
To compute the wavelength of the waves, we can use the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
The speed of light is approximately 299,792,458 meters per second (m/s).
Given that the frequency of the American system of communication is 76 Hz, we can calculate the wavelength as follows:
Wavelength (λ) = 299,792,458 m/s / 76 Hz
λ = 3,946,006 meters
Therefore, the wavelength of the waves in the American system of communication is approximately 3,946,006 meters.
Now let's compare this value to the diameter of the Earth. The average diameter of the Earth is approximately 12,742 kilometers or 12,742,000 meters.
We can see that the wavelength of the waves is much larger than the diameter of the Earth (3,946,006 meters vs. 12,742,000 meters). This indicates that the waves used in the American system of communication are much longer than the size of the Earth.