Final answer:
It takes approximately 1.9×10^7 years for one revolution of our solar system around the center of the Milky Way galaxy.
Step-by-step explanation:
To calculate the time it takes for one revolution of our solar system around the center of the Milky Way galaxy, we can use the formula:
Time = (circumference of the orbit) / (orbital speed)
The circumference of the orbit is given by 2×π×radius, where the radius is 30,000 light-years. Since the speed is given in km/s, we need to convert the distance to kilometers by multiplying it by the speed of light (9.46×1012 km/yr). Plugging in the values, we get:
Time = (2×π×30,000×9.46×1012) / (250)
Calculating this expression gives us approximately 1.9×107 years for one revolution of our solar system around the Milky Way galaxy's center.