Question:
Water flows through a horizontal pipe of varying cross-section at a rate of 0.314 m³/s. The velocity of water at a point where the radius of the pipe is 10 cm is
Water flows through a horizontal pipe of varying cross-section at a rate of 0.314 m³/s. The velocity of water at a point where the radius of the pipe is 10 cm is
Updated On: Dec 26, 2024
- 5 m/s
- 10 m/s
- 100 m/s
- 10³ m/s
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The Correct Option is B
Solution and Explanation
Using the principle of conservation of mass (continuity equation), we can calculate the velocity at the given point using:
\( v = \frac{Q}{A} \).
Substituting \( Q = 0.314 \, \text{m}^3/\text{s} \) and \( A = \pi r^2 \), we find \( v = 10 \, \text{m/s} \).
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