Question

the milky way has a diameter of about 150000 light years. our solar system is located 27000 light years from the center of the Milky way and orbits the center with a speed of 220km/s.
1. how long does it take for the solar system to circle the center of the milkyway​

Answer 1

Answer:

Distance from center of the Milky Way to solar system:

27,000 \, \text{light years} = 2.55 \cdot 10^{17} \,\text{km}27,000light years=2.55⋅10  

17

km

1) Time for one turn around the center of the Milky Way:

t= \frac{2\pi \cdot 2.55 \cdot 10^{17} \,\text{km}}{220 \, \text{km/s}} = 7.29 \cdot 10^{15} \,\text{s} = 231\, \text{million years}t=  

220km/s

2π⋅2.55⋅10  

17

km

​  

=7.29⋅10  

15

s=231million years

2)

Therefore, Earth circled

\frac{4.5 \,\text{billion years}}{231 \,\text{million years}} = 19.5  

231million years

4.5billion years

​  

=19.5

times.