Cubic yards per second to Cubic feet per minute conversion

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

To convert cubic yards per second to cubic feet per minute, you need to follow two steps:

1. Convert cubic yards to cubic feet.
2. Convert seconds to minutes.

Let's start with the conversion factors:

• 1 cubic yard = 27 cubic feet (because $1 \text{ yard} = 3 \text{ feet}$, and thus $1 \text{ yard}^3 = 3^3 = 27 \text{ feet}^3$).
• 1 minute = 60 seconds.

Given:

• 1 cubic yard per second (yd³/s).

1. Convert cubic yards to cubic feet: $1 \, \text{yd}^3/\text{s} \times 27 \, \text{ft}^3/\text{yd}^3 = 27 \, \text{ft}^3/\text{s}$

2. Convert seconds to minutes: $27 \, \text{ft}^3/\text{s} \times 60 \, \text{s}/\text{min} = 1620 \, \text{ft}^3/\text{min}$

Therefore, 1 cubic yard per second is equal to 1620 cubic feet per minute.

Real World Examples

Example 1: River Flow Rate

• Suppose a medium-sized river flows at a rate of 2 cubic yards per second. Converting this to cubic feet per minute: $2 \, \text{yd}^3/\text{s} = 2 \times 1620 \, \text{ft}^3/\text{min} = 3240 \, \text{ft}^3/\text{min}$

Example 2: Construction Concrete Pour

• Imagine a concrete pour for a large slab is being conducted at a rate of 0.5 cubic yards per second. Converting this to cubic feet per minute: $0.5 \, \text{yd}^3/\text{s} = 0.5 \times 1620 \, \text{ft}^3/\text{min} = 810 \, \text{ft}^3/\text{min}$

Example 3: Industrial Water Pump

• An industrial water pump might be rated to move water at a rate of 3 cubic yards per second. Converting this to cubic feet per minute: $3 \, \text{yd}^3/\text{s} = 3 \times 1620 \, \text{ft}^3/\text{min} = 4860 \, \text{ft}^3/\text{min}$

These examples illustrate how different quantities of cubic yards per second can be used in real-world scenarios and converted to cubic feet per minute for practical applications.