Cubic inches per hour to Kilolitres per second conversion

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

To convert cubic inches per hour (in³/h) to kiloliters per second (kL/s), follow these steps:

1. Understand the Conversion Constants:

   • 1 inch = 0.0254 meters
   • Therefore, 1 cubic inch (in³) = $0.0254^3$ cubic meters (m³)
   • 1 cubic meter (m³) = 1,000 liters (L) = 0.001 kiloliters (kL)

2. Calculate the Volume in Cubic Meters:

   • 1 cubic inch = $(0.0254)^3 = 1.6387 \times 10^{-5}$ cubic meters

3. Convert Cubic Inches to Cubic Meters:

   • 1 in³/h = $1.6387 \times 10^{-5}$ m³/h

4. Convert Cubic Meters per Hour to Cubic Meters per Second:

   • 1 hour = 3600 seconds
   • So, $1.6387 \times 10^{-5}$ m³/h = $\frac{1.6387 \times 10^{-5}}{3600}$ m³/s
   • $\approx 4.552 \times 10^{-9}$ m³/s

5. Convert Cubic Meters per Second to Kiloliters per Second:

   • Since 1 m³ = 0.001 kL,
   • $4.552 \times 10^{-9}$ m³/s = $4.552 \times 10^{-9} \times 0.001$ kL/s
   • $4.552 \times 10^{-12}$ kL/s

Therefore, 1 cubic inch per hour is approximately $4.552 \times 10^{-12}$ kiloliters per second.

Real-World Examples for Various Flow Rates in Cubic Inches per Hour

1. Small Drip or Leak: Suppose you have a tiny leak in your faucet, dripping water at a very slow rate of 100 cubic inches per hour.

   • 100 in³/h ≈ $4.552 \times 10^{-10}$ kL/s

2. Aquarium Pump: A small aquarium pump might move water at a rate of 10,000 cubic inches per hour.

   • 10,000 in³/h ≈ $4.552 \times 10^{-8}$ kL/s

3. Household Water Supply: A more substantial flow, such as water supplied to a household, could be around 1,000,000 cubic inches per hour (equivalent to a few gallons per minute).

   • 1,000,000 in³/h ≈ $4.552 \times 10^{-6}$ kL/s

4. Industrial Water Use: For industrial purposes, flow rates could be significantly higher, like 100,000,000 cubic inches per hour.

   • 100,000,000 in³/h ≈ $4.552 \times 10^{-4}$ kL/s

These examples demonstrate how various flow rates in cubic inches per hour can be understood in terms of kiloliters per second, even though the latter is a much smaller and precise unit, typically needed for larger and faster flows.