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?

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.

To calculate the time it takes for the star to make one revolution around the center, we can use the formula:

Time = (2π) / Angular Speed

Given:
Radius of the orbit (r) = 4.4 x 10^20 m
Angular speed (ω) = 7.3 x 10^-15 rad/s

Plugging in these values, we can calculate:

Time = (2π) / (7.3 x 10^-15 rad/s)

Calculating this expression:

Time = 2π / 7.3 x 10^-15
≈ 8.55 x 10^14 s

To convert this time from seconds to years, we can use the conversion factor:

1 year = 365.25 days * 24 hours * 60 minutes * 60 seconds

Converting the time:

Time in years = (8.55 x 10^14 s) / (365.25 days * 24 hours * 60 minutes * 60 seconds)
≈ 2.71 x 10^7 years

Therefore, it takes approximately 2.71 x 10^7 years for the star to make one revolution around the center.

To find the time it takes for the star to make one revolution around the center of its galaxy, we can use the formula:

Period (T) = (2π) / (angular speed)

Here, the angular speed is given as 7.3 x 10^-15 rad/s.

So, substituting the values into the formula:

T = (2π) / (7.3 x 10^-15 rad/s)

To simplify the calculation, let's convert the angular speed into scientific notation:

T = (2π) / (7.3 x 10^-15 rad/s)
= (2π) / (0.0000000000000073 rad/s)
= 273.204838 s

Now, to convert the time from seconds to years, we'll divide the result by the number of seconds in a year.

1 year = 365 days × 24 hours × 60 minutes × 60 seconds
≈ 31,536,000 seconds

T (in years) = 273.204838 s / 31,536,000 s/year
≈ 8.666 × 10^-9 years

Therefore, the star takes approximately 8.666 x 10^-9 years to make one revolution around the center of its galaxy.