Cubic inches per second to Kilolitres per hour conversion

How to convert cubic inches per second to kilolitres per hour?

To convert cubic inches per second (in³/s) to kiloliters per hour (kL/h), you need to follow a multi-step process where you first convert cubic inches to cubic meters, then cubic meters to kiloliters, and finally adjust for time from seconds to hours. Here's the step-by-step breakdown:

1. Convert cubic inches to cubic meters:

   • There are 61,023.7441 cubic inches in a cubic meter (1 m³ = 61,023.7441 in³).
   • Therefore, 1 in³ = 1 / 61,023.7441 m³.

2. Convert cubic meters to kiloliters:

   • 1 cubic meter (m³) is equivalent to 1 kiloliter (kL).

3. Adjust for time from seconds to hours:

   • There are 3600 seconds in an hour.

Putting it all together in one conversion:

$\text{1 in³/s = } \left(\frac{1}{61,023.7441}\right) \, \text{m³/s}$

Since 1 cubic meter is 1 kiloliter:

$\text{1 in³/s = } \left(\frac{1}{61,023.7441}\right) \, \text{kL/s}$

Finally, convert from seconds to hours:

$\text{1 in³/s = } \left(\frac{1}{61,023.7441}\right) \times 3600 \, \text{kL/h}$

Calculating the value:

$\text{1 in³/s = } \left(\frac{3600}{61,023.7441}\right) \, \text{kL/h}$

$\text{1 in³/s ≈ 0.05905 kL/h}$

So, 1 cubic inch per second is approximately 0.05905 kiloliters per hour.

Real-World Examples for Other Quantities of Cubic Inches per Second:

Example 1: Hydraulic Fluid Flow (10 in³/s)

• Hydraulic systems in heavy machinery can have flow rates around 10 in³/s.
• Convert 10 in³/s → 0.5905 kL/h.

Example 2: Small Pump Output (5 in³/s)

• A small industrial pump might have a flow rate of 5 in³/s.
• Convert 5 in³/s → 0.2953 kL/h.

Example 3: Garden Hose Flow (0.5 in³/s)

• A typical garden hose may have a flow rate around 0.5 in³/s.
• Convert 0.5 in³/s → 0.029525 kL/h.

Example 4: Minor Leaks (0.1 in³/s)

• A minor leak in a pipe could have a flow rate of 0.1 in³/s.
• Convert 0.1 in³/s → 0.005905 kL/h.

These examples illustrate various applications where understanding the volume flow rate in different units can be crucial for design, maintenance, and troubleshooting.