Astronomy: Enceladus, the sixth largest moon of Saturn, is geologically active w

Question

Astronomy:

Enceladus, the sixth largest moon of Saturn, is geologically active with

hydrothermal vents ejecting water ice into space (pictured above). Use the

following information to answer the questions below.

Enceladus Data:

Distance from Saturn: 2.38 x 10 km

Diameter: 454 km

(Multiple Choice) Which of the following calculations would give me the

distance of Enceladus to Saturn in AU?

II - The diameter of Saturn is 116,464 km. If I scaled Enceladus to the size of

a an 8.5 inch†bowling ball, what would be your scaling factor to find the size

of Saturn in this scale model?

(Just the scaling factor, you don't need to calculate the size of Saturn)

a) (2.38 x 10° km) 0.6214 mi 1 km 93x106 miles 93 x106 miles 0.6214 mi , 1 AU 1 km c) (2.38 × 105 km) x 93x 106miles x 0.62km 93x106 miles 1 km 0.6214 mi

Explanation / Answer

Option A. If you check the units, 1 km = 0.6214 mi and 1 AU = 93 * 106 miles and cancelling the km/km and mi/mi we will get the distance in AU.

If we scale 116,464 km to 8.5 inch then,

116,464/8.5 = 13701.65 km per inch

so for 39370.1 inch i.e 1 km it will be, 539,435,330.67 km

so if we convert km to km then scalinf factor is 539,435,330.67

and if we convert km to inch then it is, 13701.65

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