QuestionMay 6, 2025

Water flows through a pipe of radius 0.0250 m at 1.50m/s What is the Volume Flow Rate? (Keep 3 sig figs.)

Water flows through a pipe of radius 0.0250 m at 1.50m/s What is the Volume Flow Rate? (Keep 3 sig figs.)
Water flows through a pipe of radius 0.0250 m at 1.50m/s What is the Volume Flow Rate? (Keep 3 sig figs.)

Solution
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Answer

2.95 \times 10^{-3} \, \text{m}^3/\text{s} Explanation 1. Calculate the cross-sectional area of the pipe The cross-sectional area A of a pipe is given by **A = \pi r^2**. Here, r = 0.0250 \, \text{m}. So, A = \pi (0.0250)^2. 2. Calculate the volume flow rate Volume flow rate Q is given by **Q = A \cdot v**, where v = 1.50 \, \text{m/s}. Substitute A from Step 1 to find Q.

Explanation

1. Calculate the cross-sectional area of the pipe<br /> The cross-sectional area $A$ of a pipe is given by **$A = \pi r^2$**. Here, $r = 0.0250 \, \text{m}$. So, $A = \pi (0.0250)^2$.<br /><br />2. Calculate the volume flow rate<br /> Volume flow rate $Q$ is given by **$Q = A \cdot v$**, where $v = 1.50 \, \text{m/s}$. Substitute $A$ from Step 1 to find $Q$.
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