Cups per second to Cubic kilometers per second conversion

How to convert cups per second to cubic kilometers per second?

To convert from cups per second to cubic kilometers per second, you need to know the conversion factors for cups to cubic meters and then convert from cubic meters to cubic kilometers. Here's the step-by-step process:

1. Convert cups to cubic meters:

   • 1 cup is equal to 0.000236588 cubic meters (m³).

2. Convert cubic meters to cubic kilometers:

   • 1 cubic meter (m³) is equal to $10^{-9}$ cubic kilometers (km³).

Conversion Calculation

1. Start with the volumetric flow rate in cups per second: $1 \text{ cup/second}$.

2. Convert it to cubic meters per second: $1 \text{ cup/second} \times 0.000236588 \text{ m³/cup} = 0.000236588 \text{ m³/second}$

3. Convert cubic meters per second to cubic kilometers per second: $0.000236588 \text{ m³/second} \times 10^{-9} \text{ km³/m³} = 2.36588 \times 10^{-13} \text{ km³/second}$

Thus, $1 \text{ cup/second} = 2.36588 \times 10^{-13} \text{ km³/second}$.

Real-World Examples for Other Quantities of Cups per Second

1. Kitchen Faucet:

   • A typical kitchen faucet might flow at about 2 gallons per minute. Converting this to cups per second: $2 \text{ gallons/minute} \times \frac{16 \text{ cups/gallon}}{60 \text{ seconds/minute}} \approx 0.5333 \text{ cups/second}$

2. Water Dispenser:

   • A modern water dispenser can dispense around 1.5 liters per minute. Converting this to cups per second: $1.5 \text{ liters/minute} \times \frac{4.22675 \text{ cups/liter}}{60 \text{ seconds/minute}} \approx 0.1057 \text{ cups/second}$

3. Fire Hose:

   • A fire hose might release water at a rate of 500 gallons per minute. Converting to cups per second: $500 \text{ gallons/minute} \times \frac{16 \text{ cups/gallon}}{60 \text{ seconds/minute}} \approx 133.33 \text{ cups/second}$

4. Industrial Pump:

   • An industrial pump might have a flow rate of 10 cubic meters per minute. Converting to cups per second: $10 \text{ m³/minute} \times \frac{1000 \text{ liters/m³}}{1 \text{ m³}} \times \frac{4.22675 \text{ cups/liter}}{60 \text{ seconds/minute}} \approx 705.459 \text{ cups/second}$

These examples illustrate how different flow rates can be converted to cups per second, providing a useful perspective on their magnitudes in everyday contexts.