
Click on the 'RADIUS' button, enter the time and mass, click on 'CALCULATE' and the answer is 4.2244 x10^{7} meters or 42,244 kilometers or 26,249 miles. (This is the distance as measured from the Earth's center).
r^{3} = (6.674x10^{11} • 5.9736x10^{24} • 86,400^{2}) / 39.4784 r^{3} = 2.976x10^{24} / 39.4784 r^{3} = 7.539^{22} radius = 42,244,000 meters
2) The Moon orbits the Earth at a centertocenter distance of
3.86 x10^{5} kilometers (3.86 x10^{8} meters). Now that you have this information, how long does it take the Moon to make one revolution around the Earth? Click on the 'TIME' button. Enter the radius and mass data. Click on 'CALCULATE' and the answer is 2,371,900 seconds or 27.453 days.
t^{2} = (4 • π^{2} • 386,000,000^{3}) / (6.674x10^{11} • 6.0471x10^{24}) t^{2} = 2.27x10^{27} / 4.04^{14} t^{2} = 5,626,000,000,000 time = 2,372,000 seconds
3) Every 152,850 seconds, Io orbits Jupiter at an average orbital radius of
421,700 kilometers (4.21x10^{8} meters). What is Jupiter's Mass?
m = (39.4784 • 421,700,000^{3}) / (6.674x10^{11} • 152,850^{2}) m = 2.961x10^{27} / 1.559 mass = 1.899x10^{27} kilograms
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