Question

Liquid flows in a pipe at a velocity of 5.47 f/s, what will be its velocity in m/min ?

• A. 90
• B. 100
• C. 105
• D. 110

Hint:

A useful combined conversion factor: to convert directly from \(\text{ft/s}\) to \(\text{m/min}\), multiply by \(18.288\) (\(0.3048 \times 60\)).
\[ 5.47 \times 18.288 \approx 100 \]

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This problem requires converting velocity units from feet per second (\(\text{ft/s}\)) to meters per minute (\(\text{m/min}\)).
Key Formula or Approach:
Use the following conversion factors: \[ 1\text{ foot (ft)} = 0.3048\text{ meters (m)} \] \[ 1\text{ minute (min)} = 60\text{ seconds (s)} \]

Step 2: Detailed Explanation:
First, convert the distance unit from feet to meters: \[ \text{Velocity in m/s} = 5.47\text{ ft/s} \times 0.3048\text{ m/ft} \] \[ \text{Velocity in m/s} \approx 1.66726\text{ m/s} \] Next, convert the time unit from seconds to minutes: \[ \text{Velocity in m/min} = 1.66726\text{ m/s} \times 60\text{ s/min} \] \[ \text{Velocity in m/min} = 100.0356\text{ m/min} \] Rounding to the nearest integer gives \(100\text{ m/min}\).

Step 3: Final Answer:
Therefore, the velocity in m/min is 100.