Question

Galactic Rotation Speed. We are located about 27,000 light-years from the galactic center and we orbit the center about once every 230 million years. How fast are we traveling around the galaxy, in km/hr? We are traveling at about 800,000 km/hr

Answer 1

speed = 796142.197 km/hr

Explanation:

solution

we consider here orbit around galactic center is circular so

circumference formula will be here

circumference C = 2πr ........1

here we know r = 27000

so

circumference C = 2 π × 27000

C = 169560 light year

so

we travel 169560 light year in 230000000 years

so distance will be

distance =
`(169560)/(230000000)`

distance = 0.00073721 light year/year

and we know 1 year = 8760 hours

so 1 light year = 9.46027 ×
`10^(12)` km

so

sped of moving is

speed = 0.00073721 × 9.46027 ×
`(10^(12))/(8760)` km/hr

speed = 796142.197 km/hr