The Milky Way Galaxy is about 25 million times larger in diameter than the planetary region of our solar system. If you represent out solar system with a poker chip (diameter about 1.5 inches), how big a disk would you need to represent out galaxy?

Respuesta :

Answer:

[tex]37.5\times 10^6\ inches\ or\ 591.85606\ mi[/tex]

Explanation:

[tex]d_s[/tex] = Diameter of the solar system

[tex]d_m[/tex] = Diameter of the Milky way = [tex]25\times 10^6\times d_s[/tex]

Here [tex]d_s=1.5\ inches[/tex]

Diameter of the Milky way would be

[tex]d_m=25\times 10^6\times 1.5\\\Rightarrow d_m=37.5\times 10^6\ inches[/tex]

The size of the disk which represents the galaxy is

[tex]37.5\times 10^6\ inches=\frac{37.5\times 10^6}{63360}=591.85606\ mi[/tex]