Question 162758: Can you please help with this problem? Thanks
According to Kepler’s third law of planetary motion, the ratio T^2/R^3 has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun. If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun?
Answer by gonzo(654)   (Show Source):
You can put this solution on YOUR website! the ratio is T^2/R^3, so T^2 = R^3.
since it's the same for every planet in our solar system, then it applies to venus as well.
you are given R.
cube it and then take the square root to get the number of years it takes for venus to revolve around the sun.
answer is:
.723^3 = .377933067
square root of .377933067 is .61476261.
it takes venus .61476261 years to complete one orbit of the sun.
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i checked the web on how long it takes venus to orbit the sun and the answer is pretty close to this.
their answer is .615. difference is more than likely rounding.
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