Find the distance from the earth to the sun if the earth is known to orbit at a speed of 30 km / s.
February 18, 2021 | education
| Since it is not indicated in the problem statement, we will assume that the Earth revolves around the Sun in a circular orbit.
Then, since the Earth goes through one complete revolution in 1 year (365 days = 31.5 * 10 ^ 6 seconds), this means that the circumference is:
C = v * 31.5 * 10 ^ 6 = 30 * 31.5 * 10 ^ 6 = 945 * 10 ^ 6 kilometers.
Also, the circumference is C = 2 * pi * R, where R is the radius, and, accordingly, the distance from the Earth to the Sun, that is:
R = C / (2 * pi) = 945 * 10 ^ 6 / (2 * 3.14) = 945 * 10 ^ 6 / 6.28 = 150.5 * 10 ^ 6 kilometers or 150.5 million kilometers.
Answer: the distance from the Earth to the Sun is 150.5 million kilometers.
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