Cubic kilometers per second to Cubic yards per minute conversion

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

To convert from cubic kilometers per second (km³/s) to cubic yards per minute (yd³/min), you'll need to follow these steps:

1. Convert cubic kilometers to cubic meters: $1 \text{ km}^3 = 1,000,000,000 \text{ m}^3$ (since 1 km = 1,000 m, and (1,000 m)³ = 1,000,000,000 m³).

2. Convert cubic meters to cubic yards: $1 \text{ m}^3 = 1.30795 \text{ yd}^3$.

3. Convert seconds to minutes: $1 \text{ s} = \frac{1}{60} \text{ minute}$.

Let's go through these steps in detail.

Step 1: Convert from cubic kilometers to cubic meters. $1 \text{ km}^3 = 1,000,000,000 \text{ m}^3$

Step 2: Convert from cubic meters to cubic yards. $1,000,000,000 \text{ m}^3 \times 1.30795 \text{ yd}^3/\text{m}^3 = 1,307,950,000 \text{ yd}^3$

Step 3: Convert from seconds to minutes. $1 \text{ km}^3/\text{s} = 1,307,950,000 \text{ yd}^3/\text{s} = 1,307,950,000 \text{ yd}^3 \times 60 \text{ s/min} = 78,477,000,000 \text{ yd}^3/\text{min}$

So, 1 cubic kilometer per second is equivalent to 78,477,000,000 cubic yards per minute.

Real-World Examples of Other Quantities in Cubic Kilometers per Second

1. Volcanic Eruptions: Large explosive volcanic eruptions can eject material at rates ranging from fractions of a cubic kilometer per second to several cubic kilometers per second. For instance, the 1883 eruption of Krakatoa in Indonesia had peak flow rates of up to 20 km³/second during its most violent phase.

2. Flood Events: During catastrophic flood events, such as the glacial lake outburst floods (jökulhlaups) that occurred near the end of the last Ice Age, water flow rates have been estimated to reach several cubic kilometers per second. The Missoula Floods, for example, involved flow rates estimated to be around 3 km³/s.

3. River Discharges: The Amazon River, which is the largest river by discharge volume in the world, has an average discharge of 209,000 cubic meters per second (m³/s), which translates to 0.000209 km³/s. While this is a much smaller rate compared to catastrophic events, it provides a scope for comparison.

These examples help to contextualize the vast quantities described by cubic kilometers per second, highlighting both natural phenomena and geological events.