WATER FLOWS FROM A HOSE-PIPE OF OF INTERNAL DIAMETER 1CM AT A RATE OF 5 LITRES PER MINUTE. AT WHAT SPEED IS THE WATER FLOWING THROUGH THE PIPE?

1 litre = 1000 cubic centimeters

In the question, 5000 ccs pass every minute.

Think of that as a rod of of water, 1cm in diameter

Volume = length*area = 5000 cc

length = volume/area

area = pi*r^2, where r = radius of pipe.

r = 0.5 cm (half the diameter)

length = 5000/(pi*(0.5)^2) cm

= 20000/pi cm

That's the length per minute, so the speed is

(20000/pi) cm/minute<<<

(20000/(60*pi)) cm/second<<<

Answer Link

MubeenaD MubeenaD · Answer 2 · 2022-05-31T19:22:56+02:00

The speed of the water flowing through the pipe is [tex]\frac{20000}{\pi *60}[/tex] cm/seconds

What is speed?

Speed is the "rate of change of position of object in any direction. Speed is measured in the ratio of distance by time taken".

According to the question,

House-pipe internal diameter is 1 cm and water flows at a rate of 5 liters per minute

Radius of pipe = 1/2 = 0.5 cm

Area of circle = π.r²

Area of pipe = π.r²

= π (0.5)²

= 0.25π

Area of pipe = 0.25π

1 liter = 1000 cubic centimeters

5 liters = 5000 cubic centimeters

Volume of the pipe = Length of the pipe * Area of the pipe

Volume of the pipe /(Area of the pipe ) = Length of the pipe

Length of the pipe = 5000/0.25π

=20,000/π cm/minute

Length of the pipe is equal to Distance

Speed formula = Distance/time taken

Speed of the pipe = [tex]\frac{20000}{\pi *60}[/tex] cm/seconds

Hence, the speed of the water flowing through the pipe is [tex]\frac{20000}{\pi *60}[/tex] cm/seconds.

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