Let us calculate the water flow rate or discharge in a pipe as shown below.
Given data:
The velocity of water in the pipe = 4m/sec ( V ).
Inner dia. of pipe = 100mm = 0.1m. (d ).
Calculation:
The flow rate or discharge of water (Q )
= [sectional area of pipe (A ) × velocity (V )]
The sectional area of pipe A = πr2
Here,
r = inner radius of the pipe
radius =[ pipe diameter ÷ 2 ]
i.e. r = [d ÷ 2]
=[0.1m ÷ 2]
= 0.05m.
A = π × (0.05 )2
= 3.142 × (0.05 )2
=0.007855 sqm.
The flow rate or discharge of water
Q = [V × A]
= [4m/sec × 0.007855 sqm.]
= 0.03142 cum/sec.
(As you know, 1cum = 1000 liter.)
= 31.42 liter /sec.
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Thank you for going through these calculation steps❤. Have a good day 😄.
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