Cubic meters per minute to Cups per second conversion

How to convert cubic meters per minute to cups per second?

To convert from cubic meters per minute (m³/min) to cups per second (cup/s), you need to understand and use the appropriate volume and time conversion factors.

1 cubic meter (m³) is equivalent to 4,226.75 cups (U.S. customary cups).

1 minute is equivalent to 60 seconds.

Let’s start with the conversion from cubic meters per minute to cubic meters per second: $1 \text{ m³/min} = \frac{1 \text{ m³}}{60 \text{ s}}$ $1 \text{ m³/min} = 0.01667 \text{ m³/s}$

Next, convert cubic meters to cups: $0.01667 \text{ m³/s} \times 4,226.75 \text{ cups/m³} = 70.45 \text{ cups/s}$

So, 1 cubic meter per minute is equivalent to approximately 70.45 cups per second.

Real World Examples for Various Quantities of Cubic Meters per Minute

Household Kitchen Faucet

• Flow Rate: Approximately 0.01 to 0.02 m³/min (10 to 20 liters per minute)
• Equivalent in Cups per Second: $0.01 \text{ m³/min} \Rightarrow 0.01 \times 70.45 \text{ cups/s} = 0.7045 \text{ cups/s}$ $0.02 \text{ m³/min} \Rightarrow 0.02 \times 70.45 \text{ cups/s} = 1.409 \text{ cups/s}$

Garden Hose

• Flow Rate: Approximately 0.12 to 0.15 m³/min (120 to 150 liters per minute)
• Equivalent in Cups per Second: $0.12 \text{ m³/min} \Rightarrow 0.12 \times 70.45 \text{ cups/s} = 8.454 \text{ cups/s}$ $0.15 \text{ m³/min} \Rightarrow 0.15 \times 70.45 \text{ cups/s} = 10.568 \text{ cups/s}$

Industrial Water Pump

• Flow Rate: Approximately 1.5 to 3 m³/min
• Equivalent in Cups per Second: $1.5 \text{ m³/min} \Rightarrow 1.5 \times 70.45 \text{ cups/s} = 105.675 \text{ cups/s}$ $3 \text{ m³/min} \Rightarrow 3 \times 70.45 \text{ cups/s} = 211.35 \text{ cups/s}$

Fire Hydrant

• Flow Rate: Approximately 5 to 10 m³/min
• Equivalent in Cups per Second: $5 \text{ m³/min} \Rightarrow 5 \times 70.45 \text{ cups/s} = 352.25 \text{ cups/s}$ $10 \text{ m³/min} \Rightarrow 10 \times 70.45 \text{ cups/s} = 704.5 \text{ cups/s}$

These examples highlight the wide range of flow rates you might encounter in different scenarios, from household setups to large-scale industrial or emergency services.