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Author Topic: PUZZLE -- Falling Raindrops  (Read 5587 times)

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Re: PUZZLE -- Falling Raindrops
« Reply #35 on: September 16, 2018, 09:54:18 AM »
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Which raindrops fall faster, the small ones or the large ones?
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(Explain your answer using verifiable physical principles, if possible.)
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The larger raindrops fall faster. 
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Large raindrops fall faster because a falling raindrop is subject to two opposing forces -- gravity and air resistance. 
Air resistance is proportional to the drop's cross section, and it increases with velocity. 
At first, the slowing effect of air resistance is very small, and the drop keeps falling faster because of the constant force of gravity.
As the speed increases, so does air resistance -- until the speed is so great that the force of air resistance equally opposes the force of gravity.
From that point the drop starts falling at a uniform speed, the so-called terminal velocity
By the time raindrops are observed falling on earth they have long ago already reached their terminal velocity.
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Comparing different sizes of raindrops:
The force of gravity grows in proportion to the drop's volume, which is the cube of the radius.
On the other hand, air resistance builds up at the cross-section area of the drop, which is the square of the radius.
As the drops radius increases, the force of gravity increases faster than the opposing force of air resistance.
The larger drop can reach a greater terminal velocity before the air resistance catches up with it.
Consequently, larger drops have a higher terminal velocity, which means they fall faster.

Re: PUZZLE -- Falling Raindrops
« Reply #36 on: September 16, 2018, 05:49:11 PM »
Neil, do these questions pertain to the same word?
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First question: .
What English word has all 6 vowels in order?  
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Answer: facetiously  --- a, e, i, o, u, y 


Re: PUZZLE -- Falling Raindrops
« Reply #37 on: September 17, 2018, 09:40:54 AM »
First question: .
What English word has all 6 vowels in order?  
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Answer: facetiously  --- a, e, i, o, u, y
Not counting "anteriourly", at least one other English word has the same property.

Re: PUZZLE -- Falling Raindrops
« Reply #38 on: September 17, 2018, 10:22:04 AM »
Not counting "anteriourly", at least one other English word has the same property.
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So which other English word contains "wsst?"  (Go ahead and use the British variant spelling, if you must!)
 

Re: PUZZLE -- Falling Raindrops
« Reply #39 on: September 17, 2018, 10:33:36 AM »
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So which other English word contains "wsst?"
Newsstand.
There are many 6-letter words that have all letters in alphabetical order, no letters repeated. "Almost", for example. I couldn't think of any 7-letter words without repeats.
However, there are 7-letter words with the letters in reverse order, no letters repeated. Hint: try ending in -ed.