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

• A. 5 m/s
• B. 10 m/s
• C. 100 m/s
• D. 10³ m/s

Answer 1

The Correct Option is B

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 \( v = 10 \, \text{m/s} \).