As we discussed, clouds are made of a great many small drops. Really - a great many. Imagine a liquid cloud that fills a volume of 1 km³. The clouds contains 100 drops per cubic centimeter; for the sake of argument assume that each is 10 microns (micrometers) in radius. A. How many drops does the cloud contain? Compare this to a big number - say, the number of stars in the galaxy. B. What mass of water does the cloud contain? Compare this to something big - elephants, trucks, that sort of thing. C. What fraction of the cloud volume is filled with condensed water? One way to approach this is to compare the density of the suspended liquid water to the density of the surrounding air. D. How many 1 mm drizzle drops could you make from all the cloud drops? E. How much energy was released when this water condensed from vapor to liquid? If the water condensed in 20 minutes (a reasonable lifetime for a small cloud), what was the power tima)a

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Chapter1: Units, Trigonometry. And Vectors
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As we discussed, clouds are made of a great many small drops. Really - a great many. Imagine a
liquid cloud that fills a volume of 1 km3. The clouds contains 100 drops per cubic centimeter; for
the sake of argument assume that each is 10 microns (micrometers) in radius.
A. How many drops does the cloud contain? Compare this to a big number - say, the number of
stars in the galaxy.
B. What mass of water does the cloud contain? Compare this to something big - elephants,
trucks, that sort of thing.
C. What fraction of the cloud volume is filled with condensed water? One way to approach this
is to compare the density of the suspended liquid water to the density of the surrounding air.
D. How many 1 mm drizzle drops could you make from all the cloud drops?
E. How much energy was released when this water condensed from vapor to liquid? If the
water condensed in 20 minutes (a reasonable lifetime for a small cloud), what was the
(energy per time)?
power
Transcribed Image Text:As we discussed, clouds are made of a great many small drops. Really - a great many. Imagine a liquid cloud that fills a volume of 1 km3. The clouds contains 100 drops per cubic centimeter; for the sake of argument assume that each is 10 microns (micrometers) in radius. A. How many drops does the cloud contain? Compare this to a big number - say, the number of stars in the galaxy. B. What mass of water does the cloud contain? Compare this to something big - elephants, trucks, that sort of thing. C. What fraction of the cloud volume is filled with condensed water? One way to approach this is to compare the density of the suspended liquid water to the density of the surrounding air. D. How many 1 mm drizzle drops could you make from all the cloud drops? E. How much energy was released when this water condensed from vapor to liquid? If the water condensed in 20 minutes (a reasonable lifetime for a small cloud), what was the (energy per time)? power
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