A pipe is delivering water at a rate of 25 L per minute. The diameter of the pipe opening is 2.0 cm. What is the speed of water flow?
A)0.03 m/s
B)1.3 m/s
C)20 m/s
D)332 m/s

Question

Quizplus · Accepted Answer

The speed of water flow can be calculated using the formula for the volume flow rate, $Q = A \cdot v$, where $Q$ is the volume flow rate, $A$ is the cross-sectional area of the pipe, and $v$ is the speed of the water. Given $Q = 25$ L/min, which is $0.025$ m³/min or $\frac{0.025}{60}$ m³/s (since there are 60 seconds in a minute), and the diameter of the pipe is $2.0$ cm or $0.02$ m, the area $A = \pi r^2 = \pi (0.01)^2 = 3.14 \times 10^{-4}$ m². Solving for $v$, $v = \frac{Q}{A} = \frac{0.025/60}{3.14 \times 10^{-4}} \approx 1.3$ m/s.

A Pipe Is Delivering Water at a Rate of 25