Water issues from a hose pipe of internal diameter 1cm at a rate of 5 litres per minute. At what speed is the water flowing through the pipe??
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OpenStudy (lgbasallote):
related rates?
OpenStudy (anonymous):
sorry
OpenStudy (lgbasallote):
so it is related rates
OpenStudy (lgbasallote):
^i meant calculus
OpenStudy (anonymous):
erm, maybe. but I have not started calculus yet.
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OpenStudy (anonymous):
linear speed of water?
OpenStudy (anonymous):
right
OpenStudy (anonymous):
divide the rate of water flow in volume by the area of the pipe
OpenStudy (anonymous):
why??
OpenStudy (anonymous):
area of pore of the pipe= pi*(1^2) sq cm= pi sq cm
per minute water flows 5 litre= 5000 cc
so, rate of flow of water = 5000/pi cm/minute= 1592 cm/minute (approx)
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OpenStudy (anonymous):
volume= area*length
so, volume/time= area* length/time=area* rate of water flow
OpenStudy (anonymous):
per minute or per second?
OpenStudy (anonymous):
per minute I believe
OpenStudy (anonymous):
sorry, the diameter is 1 cm ^^
so, the area is pi/4
OpenStudy (anonymous):
sorry I am really baffled
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OpenStudy (anonymous):
me too.. after knowing the solution of ur text :)
OpenStudy (anonymous):
Actually the answer 106cm/s
OpenStudy (anonymous):
yeah, thats correct
OpenStudy (anonymous):
beg your pardon
OpenStudy (anonymous):
but I still do not fully understand.
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OpenStudy (anonymous):
which part?
OpenStudy (anonymous):
area of pore of the pipe= pi*(1^2) sq cm= pi sq cm
OpenStudy (anonymous):
no, as 1 is the diameter, radius is 1/2
as area of the circle= pi r^2
so, area of the pore = pi/4