As a result of his observations. Ole Romer concluded that the time interval betw

Question

As a result of his observations. Ole Romer concluded that the time interval between eclipses of Io by Jupiter increased and decreased by Delta t = 13.9 s (within a few percent) during a six month period, as in the figure (a schematic of the Sun, Earth, Jupiter, and the eclipse of Io). How far does light travel in 13.9 s? The speed of light is 2.99792 x 108 m/s. Answer in units of km Each orbit of Io is 42.4 h. If Earth traveled this distance in 42.4 h, find the speed of Earth. Answer in units of kin/s See if your answer is reasonable by calculating the speed of the earth in its orbit if its orbital radius is 1.39 x 108 km and its period is 1 year. Answer in units of km/s

Explanation / Answer

009)

d = v t = 2.99792e8 * 13.9 = 41.67 *10^5 km

010)

v = 41.67e5/(42.4*60*60) = 27.299 27.3 km/s

011)

v = 2r/t = 2*3.14*1.39e8/(365.25*24*60*60) = 27.7 km/s

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