Decilitres per second to Cubic inches per minute conversion

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

To convert decilitres per second (dL/s) to cubic inches per minute (in³/min), you need to follow these steps:

1. Convert decilitres to litres:

   • 1 decilitre (dL) = 0.1 litre (L)

2. Convert litres to cubic inches:

   • 1 litre (L) = approximately 61.0237 cubic inches (in³)

3. Convert seconds to minutes:

   • 1 second (s) = $\frac{1}{60}$ minute (min)

Now let's perform the conversion for 1 decilitre per second (dL/s):

1. 1 dL/s = 0.1 L/s

2. Convert litres to cubic inches: $0.1$ L/s * $61.0237$ in³/L = $6.10237$ in³/s

3. Convert seconds to minutes: $6.10237$ in³/s * $60$ s/min = $366.1422$ in³/min

So, 1 decilitre per second equals approximately 366.1422 cubic inches per minute.

Real-World Examples with Other Quantities of Decilitres Per Second

1. Kitchen Faucet:
   A moderately flowing kitchen faucet might flow at around 2 decilitres per second (dL/s).

   • Convert:
     $2$ dL/s * $366.1422$ in³/min/dL/s = $732.2844$ in³/min

2. Garden Hose:
   A garden hose might flow at around 5 decilitres per second if the water pressure is good.

   • Convert:
     $5$ dL/s * $366.1422$ in³/min/dL/s = $1830.711$ in³/min

3. Fire Hose:
   A fire hose can flow at a much higher rate, such as 50 decilitres per second.

   • Convert:
     $50$ dL/s * $366.1422$ in³/min/dL/s = $18307.11$ in³/min

These examples illustrate various flow rates encountered in everyday and specialized situations, demonstrating the utility of understanding such conversions in different contexts.