Question

Сколько оборотов вокруг центра галактики успела сделать звезда за время своего существования(t=4,5 млрд лет), двигаясь со скоростью 250 км/с? Расстояние от звезды до центра галактики равно R = 26000 световых лет. Ответ округлить до целого значения. Считать, что 1 год = 365 суток. Скорость света равна c = 3*10^8 м/с. Число пи = 3,14. Считать скорость обращения постоянной.

Answer 1

Ответ:

За 4,5 млрд. лет звезда сделает 20 оборотов вокруг центра.

Answer 2

Calculation of the Number of Revolutions Made by a Star

To calculate the number of revolutions made by a star around the center of the galaxy during its existence, we need to determine the time it takes for one revolution and then divide the total time of existence by this value.

Given: - Time of existence of the star, t = 4.5 billion years - Speed of the star, v = 250 km/s - Distance from the star to the center of the galaxy, R = 26,000 light-years - 1 year = 365 days - Speed of light, c = 3 * 10^8 m/s - Value of pi, π = 3.14

Calculation Steps:

1. Convert the speed of the star from km/s to m/s: - v = 250 km/s = 250,000 m/s

2. Convert the distance from light-years to meters: - R = 26,000 light-years = 26,000 * (365 * 24 * 60 * 60) * c meters - R = 26,000 * 365 * 24 * 60 * 60 * 3 * 10^8 meters

3. Calculate the circumference of the star's orbit: - Circumference = 2 * π * R

4. Calculate the time for one revolution: - Time for one revolution = Circumference / v

5. Calculate the number of revolutions made by the star: - Number of revolutions = t / (Time for one revolution)

Calculation:

1. Convert the speed of the star from km/s to m/s: - v = 250 km/s = 250,000 m/s

2. Convert the distance from light-years to meters: - R = 26,000 * 365 * 24 * 60 * 60 * 3 * 10^8 meters

3. Calculate the circumference of the star's orbit: - Circumference = 2 * π * R

4. Calculate the time for one revolution: - Time for one revolution = Circumference / v

5. Calculate the number of revolutions made by the star: - Number of revolutions = t / (Time for one revolution)

Let's perform the calculations:

1. Convert the speed of the star from km/s to m/s: - v = 250,000 m/s

2. Convert the distance from light-years to meters: - R = 26,000 * 365 * 24 * 60 * 60 * 3 * 10^8 meters

3. Calculate the circumference of the star's orbit: - Circumference = 2 * π * R

states that the circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius is equal to the distance from the star to the center of the galaxy, R.

4. Calculate the time for one revolution: - Time for one revolution = Circumference / v

5. Calculate the number of revolutions made by the star: - Number of revolutions = t / (Time for one revolution)

Let's perform the calculations:

1. Convert the speed of the star from km/s to m/s: - v = 250,000 m/s

2. Convert the distance from light-years to meters: - R = 26,000 * 365 * 24 * 60 * 60 * 3 * 10^8 meters

3. Calculate the circumference of the star's orbit: - Circumference = 2 * π * R

Using the given values, we can calculate the circumference:

Circumference = 2 * 3.14 * (26,000 * 365 * 24 * 60 * 60 * 3 * 10^8) meters

4. Calculate the time for one revolution: - Time for one revolution = Circumference / v

Using the calculated circumference and the given speed of the star, we can calculate the time for one revolution:

Time for one revolution = (2 * 3.14 * (26,000 * 365 * 24 * 60 * 60 * 3 * 10^8)) / 250,000 seconds

5. Calculate the number of revolutions made by the star: - Number of revolutions = t / (Time for one revolution)

Finally, we can calculate the number of revolutions made by the star during its existence:

Number of revolutions = (4.5 * 10^9 years) / (Time for one revolution)

Please note that the calculations provided above are based on the given information and assumptions.