The flow rates of water through the pipe illustrates how the water flows through the pipe, and the flow rates are (a) 0.23 m³/min and (b) 3.77 L/s
The given parameters are:
Express the unit of the diameter as meters (m)
d = 8.00 * 0.01 m
d = 0.08 m
The area is then calculated using:
A = π(d/2)²
So, we have:
A = 3.14 * (0.08/2)²
Evaluate
A = 0.005024 m²
The flow rate (Q) is then calculated using:
Q = A * v
This gives
Q = 0.005024 m² * 45.0 m/min
Evaluate
Q = 0.22608 m³/min
Approximate
Q = 0.23 m³/min
Hence, the water flow rate is 0.23 m³/min
In (a), we have:
Q = 0.22608 m³/min
Convert minutes to seconds
Q = 0.22608 m³/(60 s)
Divide
Q = 0.003768 m³/s
Convert m³ to L
Q = 0.003768 * 1000 L/s
Evaluate the product
Q = 3.768 L/s
Approximate
Q = 3.77 L/s
Hence, the water flow rate is 3.77 L/s
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