Cubic yards per minute to Cubic Centimeters per second conversion

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

To convert from cubic yards per minute to cubic centimeters per second, you need to understand the conversion factors between the units involved:

1. Number of seconds in a minute: There are 60 seconds in a minute.

2. Volume of a cubic yard in cubic centimeters:

   • 1 yard = 3 feet
   • 1 foot = 12 inches
   • 1 inch = 2.54 cm

So, 1 yard = 3 feet × 12 inches/foot × 2.54 cm/inch = 91.44 cm

Thus, a cubic yard is: $1 \text{ cubic yard} = (91.44 \text{ cm})^3 = 763,554.857984 \text{ cubic centimeters}$

Now, to convert from cubic yards per minute to cubic centimeters per second:

1. Start with 1 cubic yard per minute.
2. Convert cubic yards to cubic centimeters:

$1 \text{ cubic yard} = 763,554.857984 \text{ cubic centimeters}$

3. Convert minutes to seconds:

$1 \text{ cubic yard per minute} = \frac{763,554.857984 \text{ cubic centimeters}}{60 \text{ seconds}}$

So,

$1 \text{ cubic yard per minute} = 12,725.9143 \text{ cubic centimeters per second}$

Here are some real-world examples for different values:

Real-World Examples

1. 5 cubic yards per minute: This would be:

$5 \text{ cubic yards/min} = 5 \times 12,725.9143 \text{ cm}^3/\text{s} = 63,629.5715 \text{ cm}^3/\text{s}$

• Example: A decent-sized industrial pump might move around 5 cubic yards of water per minute.

2. 30 cubic yards per minute: This would be:

$30 \text{ cubic yards/min} = 30 \times 12,725.9143 \text{ cm}^3/\text{s} = 381,777.429 \text{ cm}^3/\text{s}$

• Example: Large-scale water management systems or flood control systems could move around 30 cubic yards of water per minute.

3. 50 cubic yards per minute: This would be:

$50 \text{ cubic yards/min} = 50 \times 12,725.9143 \text{ cm}^3/\text{s} = 636,295.715 \text{ cm}^3/\text{s}$

• Example: In the mining industry, some heavy-duty slurry pumps might handle 50 cubic yards per minute.

By understanding these conversions and real-world examples, you can better grasp the scale and capacities involved in various applications.