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why deep waters run slow?????

why deep waters run slow?????

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4 Answers

aditya gupta
33 Points
11 years ago

It is mainly due to the bernoulli''s principle, which is given as

\tfrac12\, \rho\, v^2\, +\, \rho\, g\, z\, +\, p\, =\, \text{constant}\,

where,  \rho- density of the medium

v-velocity of water

g-gravtatinal acceleration.

z-height below the surface

p-pressure

so, we can say that z is inversely proportional to v, thus if height increases, velocity decreases.

 

:)

Aman Bansal
592 Points
11 years ago

Dear Homanga,

It''s based on the idea that the deepest rivers and streams have the calmest surfaces. On the top they look like nothing''s happening, but below, water is flowing.

Still waters run deep means that people who have a calm or quiet exterior may have rich and interesting personalities, and may have fascinating ideas. The idea is that, if someone is quiet or seems to be slow or inattentive, they may be worth paying as much or more attention to than the person who''s talkative and vibrant.

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Aman Bansal
592 Points
11 years ago

Dear Homanga,

let us consider a volume as shown below.....
with length = l , breadth = b , height =h....
 
Now consider water flowing in through the volume as indicated by the arrow....
So the area (a) of cross section perpendicular to the water flow is ( b x h )
 
Now let v = velocity of water....
 
From equation of continuity .....
av = constant
or ( b x h ).v = constant = k(say)
or vbh = k
or v = k/bh
or v  1/h
So velocity of liquid is inversely proportional to height of the liquid ......
 
This explains why deep water runs slow.......

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homanga bharadhwaj
10 Points
11 years ago

Thank you sooo much sir for your elaborate explanatory answer.

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