The fraction of Earth's radius (6371 km) relative to the thickness of the oceanic (7.5 km) and continental crust (35 km) is 0.12 and 0.55, respectively.
What we know:
- The average radius of Earth (E) = 6371 km
- The average thickness of oceanic crust (O) = 7.5 km
- The average thickness of continental crust (C) = 35 km
We need to convert all the above units from kilometers to miles:
[tex] E = \frac{0.6214 mi}{1 km}*6371 km = 3958.9 mi [/tex]
[tex] O = \frac{0.6214 mi}{1 km}*7.5 km = 4.7 mi [/tex]
[tex] C = \frac{0.6214 mi}{1 km}*35 km = 21.7 mi [/tex]
Now, we can calculate the fraction of Earth's radius relative to each type of crust, with the given equation:
[tex] X = \frac{avg. \: thickness}{avg. \: radius} \times 100 [/tex]
- For the oceanic crust (O):
[tex] X = \frac{4.7 mi}{3958.9 mi}\times 100 = 0.12 [/tex]
- For the continental crust (C):
[tex] X = \frac{21.7 mi}{3958.9 mi}\times 100 = 0.55 [/tex]
Therefore, the fraction of Earth's radius relative to the oceanic and continental crust is 0.12 and 0.55, respectively.
You can see another example of calculation of fractions of Earth's radius here: https://brainly.com/question/4675868?referrer=searchResults
I hope it helps you!
