A star rotates in a circular orbit about the center of its galaxy. The radius of the orbit is 4.4 x 1020 m, and the angular speed of the star is 7.3 x 10-15 rad/s. How long (in years) does it take for the star to make one revolution around the center?

Answer 1

To find the time it takes for the star to make one revolution around the center, we need to find the period of the orbit, which can be calculated using the formula:

T = 2π/ω

Here,
T = time period
ω = angular speed = 7.3 x 10^-15 rad/s

T = 2π/(7.3 x 10^-15)
T = 8.6054 x 10^14 s

Now, let's convert the time to years. There are 86400 seconds in a day and 365 days in a year, so:

T_years = T_seconds / (86400 * 365)
T_years = (8.6054 x 10^14) / (86400 * 365)
T_years = 2.725 x 10^7 years

So it takes approximately 27.25 million years for the star to make one revolution around the center of the galaxy.