1. If the Earth were the size of B-B (with a radius of about 0.2 centimete), how big would the Sun be? How big would the Milky Way be?
2. Imagine building a model of the Solar System on your campus. Work out the diameter and spacings of the planets in millimeters and meters respectively.
The Sun's diameter is 109 times bigger than the Earth's.
so 109 times 0.2 = ?
The milky way is
6x10^17 miles in diameter
Try doing the math.
For you last problem try the following site to get you distances (click on the planets):
http://www.solarviews.com/eng/homepage.htm
1. If the Earth were the size of a B-B (with a radius of about 0.2 centimeters), the Sun would be:
109 times 0.2 = 21.8 centimeters in diameter.
To find the size of the Milky Way in the same scale, follow these steps:
- Convert the diameter of the Milky Way to centimeters: 6 x 10^17 miles * 160934.4 (conversion factor) = 9.656 x 10^20 centimeters.
- Find the ratio between Earth's and the B-B's diameter: 12,742,000 meters / 0.004 meters = 3,185,500,000.
- Divide the Milky Way's diameter by this ratio: 9.656 x 10^20 centimeters / 3,185,500,000 = 3.03 x 10^11 centimeters, or about 3.03 million kilometers.
2. To build a model of the Solar System on your campus, you'll need to calculate the diameter of each planet and their distances from the Sun. The webpage provided (http://www.solarviews.com/eng/homepage.htm) has the necessary data for planet diameters and interplanetary spacings.
After scaling down the planets' sizes and distances, you'll have the diameter of the planets in millimeters (or centimeters) and the spacing between them in meters. Keep in mind that linear distance scales may differ from size scales for easier visualization.
1. If the Earth were the size of a B-B with a radius of about 0.2 centimeters, the Sun's diameter can be calculated by multiplying the Earth's diameter (0.4 centimeters) by 109.
Therefore, the diameter of the Sun in this scale would be:
0.4 cm * 109 = 43.6 cm
So, the Sun would be approximately 43.6 centimeters in diameter if the Earth were the size of a B-B.
As for the Milky Way, it has a diameter of approximately 6x10^17 miles. To convert this into centimeters, we can follow these steps:
1 mile = 160934.4 centimeters (approximately)
Therefore, the diameter of the Milky Way would be:
6x10^17 miles * 160934.4 cm/mile = 9.656x10^22 cm
So, the Milky Way would be approximately 9.656x10^22 centimeters in diameter.
2. To build a model of the Solar System on your campus, you can use the following information to determine the diameters and spacing of the planets:
- The Sun's diameter is approximately 1,392,700 kilometers (or 1,392,700,000 meters).
- The distances of the planets from the Sun can be found on the solarviews.com website.
By using this information, you can calculate the diameter and spacing of the planets in millimeters and meters, respectively, according to the scale chosen for your model.
1. To find the size of the Sun if the Earth were the size of a B-B (0.2 centimeters in radius), we need to calculate the ratio of the Earth's radius to the Sun's radius.
The Sun's diameter is 109 times bigger than the Earth's. Since the radius of a sphere is half of its diameter, we can calculate the ratio as follows:
Sun's radius = 109 * Earth's radius
Sun's radius = 109 * 0.2 cm
To calculate the size in centimeters, it would be 109 * 0.2 = 21.8 centimeters.
Therefore, if the Earth were the size of a B-B, the Sun would be approximately 21.8 centimeters in radius.
For the size of the Milky Way, you mentioned that it has a diameter of 6x10^17 miles. To convert this to kilometers, we need to multiply it by the conversion factor: 1 mile = 1.60934 kilometers.
So, the diameter of the Milky Way in kilometers would be:
6x10^17 miles * 1.60934 km/mile = 9.65604x10^17 kilometers.
2. To calculate the diameter and spacings of the planets in the Solar System, you can use the provided website, www.solarviews.com, which offers information about the planets' distances and sizes.
By clicking on each planet on the website, you can gather data such as their distances from the Sun and their diameters. Using this information, you can perform scaling calculations based on a model that fits your campus.
To work out the diameter and spacings of the planets in the model, you can make use of a scaling factor such as 1 millimeter representing a certain distance (e.g., 1 million kilometers).
For example, if the Earth's diameter is 12,742 kilometers, and you decide that 1 millimeter represents 1 million kilometers, you can calculate the diameter in millimeters:
Earth's diameter in millimeters = 12,742 km / 1 million km/mm
Similarly, you can calculate the distances between the planets using the appropriate scaling factor. By using this methodology and applying it to each planet's data from the website, you can construct a scaled model of the Solar System on your campus.