Section 4: Soil and Water Conservation Engineering
Hydrology
Subtopic: Stream flow measurement
Question Statement:
A Price current meter is calibrated with rating equation $V = 0.040 + 0.650 N$, where $V$ is stream flow velocity in $\text{m/s}$ and $N$ is rotor revolutions per second ($\text{rps}$). When submerged at the $0.60$ depth in an open canal, the meter registers $120$ revolutions in $60.0\text{ seconds}$. The local flow velocity in meters per second ($\text{m/s}$) is ________ (round off to two decimal places).
Answer Key:
1.34
Step-by-Step Solution & Explanation
1. Revolutions per second ($N$):
$N = \frac{120\text{ revolutions}}{60.0\text{ seconds}} = 2.0\text{ rps}$
2. Flow velocity from calibration equation:
$V = 0.040 + 0.650 N = 0.040 + 0.650(2.0) = 0.040 + 1.300 = 1.34\text{ m/s}$