The speed of the water flowing through the pipe is \(\frac{20000}{\pi *60}\) 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 = \(\frac{20000}{\pi *60}\) cm/seconds
Hence, the speed of the water flowing through the pipe is \(\frac{20000}{\pi *60}\) cm/seconds.
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