Decilitres per second to Cubic inches per second conversion

How to convert decilitres per second to cubic inches per second?

To convert from decilitres per second (dL/s) to cubic inches per second (in³/s), you need to understand the relationship between these units of volume. Let's break this down:

1. Understand the Units:

   • 1 decilitre (dL) is equivalent to 0.1 liters (L).
   • 1 liter (L) is equivalent to 1000 cubic centimeters (cm³).
   • 1 cubic inch (in³) is equivalent to approximately 16.387 cubic centimeters (cm³).

2. Conversion Steps:

   • Convert decilitres to liters: $1 \, \text{dL} = 0.1 \, \text{L}$.
   • Convert liters to cubic centimeters: $0.1 \, \text{L} = 0.1 \times 1000 \, \text{cm³} = 100 \, \text{cm³}$.
   • Convert cubic centimeters to cubic inches: $100 \, \text{cm³} \div 16.387 \, \text{cm³/in³} \approx 6.102 \, \text{in³}$.

So, 1 decilitre per second (1 dL/s) is approximately 6.102 cubic inches per second (in³/s).

Real World Examples for Different DLS Quantities:

1. Residential Water Flow:

   • A typical kitchen faucet might flow at about 10 decilitres per second (dL/s). That's approximately $10 \times 6.102 \approx 61.02$ cubic inches per second.

2. Garden Hose:

   • A standard garden hose might flow at about 50 decilitres per second. This would be $50 \times 6.102 \approx 305.1$ cubic inches per second.

3. Industrial Water Flow:

   • An industrial water pump could have a flow rate of about 500 decilitres per second. This would convert to $500 \times 6.102 \approx 3051$ cubic inches per second.

By understanding these conversions and having some practical examples, the application of volume flow rates becomes clearer in both small-scale (like household usage) and large-scale (industrial applications) scenarios.