Cubic feet per second to Cubic yards per minute conversion

How to convert cubic feet per second to cubic yards per minute?

To convert cubic feet per second (cfs) to cubic yards per minute (cyd/min), you can follow these steps:

1. Convert cubic feet to cubic yards: There are $27$ cubic feet in a cubic yard. So, you would divide the volume in cubic feet by $27$ to convert to cubic yards.

2. Convert seconds to minutes: There are $60$ seconds in a minute. So, you would multiply the flow rate in cubic feet per second by $60$ to account for the conversion from seconds to minutes.

Combining these steps:

$\text{Cubic yards per minute} (cyd/min) = \left( \text{Flow rate in} \, \text{cfs} \right) \times \left( \frac{60} {27} \right)$

So for 1 cubic feet per second:

$1 \, \text{cfs} \times \left( \frac{60} {27} \right) = \frac{60}{27} \, \text{cyd/min} \approx 2.22 \, \text{cyd/min}$

Therefore, 1 cubic feet per second is approximately 2.22 cubic yards per minute.

Real World Examples

Here are a few examples of other quantities of cubic feet per second, converted to cubic yards per minute:

1. Example: A small stream flowing at 5 cfs $5 \, \text{cfs} \times \left( \frac{60} {27} \right) = \frac{300} {27} \, \text{cyd/min} \approx 11.11 \, \text{cyd/min}$

2. Example: A moderate river flowing at 30 cfs $30 \, \text{cfs} \times \left( \frac{60} {27} \right) = \frac{1800} {27} \, \text{cyd/min} \approx 66.67 \, \text{cyd/min}$

3. Example: A large river flowing at 1000 cfs $1000 \, \text{cfs} \times \left( \frac{60} {27} \right) = \frac{60000} {27} \, \text{cyd/min} \approx 2222.22 \, \text{cyd/min}$

4. Example: Water being pumped to prevent flooding at 200 cfs $200 \, \text{cfs} \times \left( \frac{60} {27} \right) = \frac{12000} {27} \, \text{cyd/min} \approx 444.44 \, \text{cyd/min}$

These calculations can help illustrate the volume flow rate of different water bodies or any other fluids moving at certain rates through a given area.