Q:

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

Accepted Solution

A:
Answer:speed = 796142.197 km/hrStep-by-step explanation:solutionwe consider here orbit around galactic center is circular so circumference formula will be herecircumference C = 2πr   ........1here 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 = [tex]\frac{169560}{230000000}[/tex]distance = 0.00073721 light year/year and we know 1 year = 8760 hoursso 1 light year = 9.46027 ×[tex]10^{12}[/tex] kmso sped of moving is speed = 0.00073721 × 9.46027 × [tex]\frac{10^{12}}{8760}[/tex]  km/hrspeed = 796142.197 km/hr