Mathematics
A hose-pipe of cross-section area 2 cm2 delivers 1500 litres of water in 5 minutes. What is the speed of water in m/s through the pipe ?
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Answer
Given:
Cross-sectional area of the hose-pipe = 2 cm2
Volume of water = 1,500 liters = 1,500,000 cm3
Time = 5 minutes = 5 x 60 seconds = 300 seconds
Volume of water flowing per second =
= 5,000 cm3/ sec
Volume of water flowing per second = Area of cross-section x Speed of water
⇒ 5,000 = 2 x Speed of water
⇒ Speed of water =
⇒ Speed of water = 2,500 cm/s = 25 m/s
Hence, the speed of water through the pipe is 25 m/s.
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