Cubic feet per hour to Cubic kilometers per second conversion

How to convert cubic feet per hour to cubic kilometers per second?

To convert from cubic feet per hour (ft³/h) to cubic kilometers per second (km³/s), we need to understand and apply a sequence of unit conversions. Here’s a step-by-step breakdown of the conversion:

1. Convert cubic feet to cubic meters: 1 ft³ = 0.0283168 m³

2. Convert cubic meters to cubic kilometers: 1 km³ = 1,000,000,000 m³ (or $10^9$ m³)

3. Convert hours to seconds: 1 hour = 3600 seconds

Let's start with converting 1 cubic foot per hour into cubic meters per hour: $1 \text{ ft}³\text{/h} \times 0.0283168 \text{ m}³\text{/ft}³ = 0.0283168 \text{ m}³\text{/h}$

Then convert cubic meters per hour to cubic meters per second: $0.0283168 \text{ m}³\text{/h} \div 3600 \text{ s/h} = 7.865778 × 10^{-6} \text{ m}³\text{/s}$

Finally, convert cubic meters per second to cubic kilometers per second: $7.865778 × 10^{-6} \text{ m}³\text{/s} \times 10^{-9} \text{ km}³/\text{m}³ = 7.865778 × 10^{-15} \text{ km}³\text{/s}$

So, 1 cubic foot per hour converts to $7.865778 × 10^{-15}$ cubic kilometers per second.

Real-World Examples:

1. Residential Water Flow: A typical household faucet might flow at roughly 2.5 cubic feet per hour. Using the same conversion factor: $2.5 \text{ ft}³\text{/h} = 19.664445 × 10^{-15} \text{ km}³\text{/s}$

2. Industrial Liquid Transfer: A small industrial pump might transfer 5000 cubic feet per hour: $5000 \text{ ft}³\text{/h} = 0.0283168 \text{ m}³/\text{s}$ Converting further to cubic kilometers per second: $0.0283168 \text{ m}³/\text{s} \times 10^{-9} \text{ km}³/\text{m}³ = 28.3168 × 10^{-9} \text{ km}³/\text{s} = 2.83168 × 10^{-8} \text{ km}³/\text{s}$

3. River Flow: A small river might flow at 100,000 cubic feet per hour: $100,000 \text{ ft}³/\text{h} = 0.000283168 \text{ km}³/\text{s}$

In these examples, you can see how different flow rates, from household faucets to industrial applications and river flows, can be expressed in terms of cubic kilometers per second for a different perspective.