Trough

How many liters of water per second can go via trough, which has a cross-section of a semicircle with a radius of 0.5 m and a water speed of 142 cm per second?

Correct answer:

V =  557.6 l/s

Step-by-step explanation:

$$\begin{gathered} r=0.5\text{m} \\ v=142\text{cm}\to \text{m}=142:100\text{m}=1.42\text{m} \\ S=\pi \cdot r^2/2=3.1416\cdot 0.5^2/2\doteq 0.3927{\text{m}}^2 \\ {V}_1=S\cdot v=0.3927\cdot 1.42\doteq 0.5576{\text{m}}^3 \\ V=V_1\to \text{l}=V_1\cdot 1000\text{l}=0.5576\cdot 1000\text{l}=557.6\text{l}=557.6\text{l/s} \end{gathered}$$

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