Water flows through a cylindrical pipe of internal diameter 7cm at 5m/sec. Calculate the volume in litres, of water discharged by the pipe in one minute. Also calculate the time taken in minutes the pipe would take to fill an empty rectangular tank 4m*3m*2.31m

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Answers

  • qais
  • Content Quality
2016-02-08T14:03:48+05:30
In one sec. length of water flow in pipe = 5 m
radius = 7/2 = 3.5 cm = 0.0035 m
volume of water flow per sec = π r² h = π(0.0035)² ×5
                                               =192.5× 10^(-6) m³
volume of water discharged per min = 192.5× 10^(-6) m³×60
                                                                = 11.55×10^(-3) m³
                                                                = 0.01155 m³
                                                                =11.55 Liter
volume of tank = 4×3×2.31 = 27.72 m³
∵1m³ = 1000 Liter 
volume of tank = 27720 Liter
time to fill the tank = 27720/11.55 = 2400 minutes
                                                          = 2400/60 = 40 hours

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