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A satellite orbits the Earth at a height of kilometers. If the satellite makes revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is kilometers.) Use as the approximate value of .

User Pan Ziyue
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1 Answer

23 votes
23 votes

Answer:

The answer is below

Explanation:

A satellite orbits the earth at a height of 343 kilometers. If it makes 8 revolutions around the earth, how many kilometers does it travel? Earth's diameter is 6371 kilometers. Use pi = 3.14.

Solution:

To determine the distance covered by the satellite, we have to first get the distance from the center of the earth to the satellite.

The diameter of the earth = 6371 km, hence the radius of the earth = 6371/2 = 3185.5 km

The distance from the center of the earth to the satellite = radius of earth + height of satellite from earth = 3185.5 + 343 = 3528.5 km

The distance travelled in one revolution = 2 * 3.14 * 3528.5 = 22158.98 km

The distance travelled in 7 revolution = 7 * 22158.98 km = 155112.86 km

User Lindydonna
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