Cubic inches per second to Cubic Centimeters per second conversion

How to convert cubic inches per second to cubic centimeters per second?

To convert cubic inches per second (in³/s) to cubic centimeters per second (cm³/s), we need to know the relationship between cubic inches and cubic centimeters.

1 inch = 2.54 centimeters (exactly), therefore: $1 \text{ cubic inch} = (2.54 \text{ cm})^3$ $1 \text{ in}^3 = 2.54 \text{ cm} \times 2.54 \text{ cm} \times 2.54 \text{ cm}$ $1 \text{ in}^3 ≈ 16.387064 \text{ cm}^3$

Using this conversion factor, we can convert 1 cubic inch per second to cubic centimeters per second:

$1 \text{ in}^3/\text{s} × 16.387064 \text{ cm}^3/\text{in}^3$ $≈ 16.387064 \text{ cm}^3/\text{s}$

Therefore, 1 cubic inch per second is approximately 16.387064 cubic centimeters per second.

Real-World Examples:

1. Fire Hose Output:

   • A typical fire hose might output water at around 100 cubic feet per second (172,800 cubic inches per second). Converting that to cubic centimeters per second: $172,800 \text{ in}^3/\text{s} ≈ 172,800 × 16.387064 \text{ cm}^3/\text{s}$ $≈ 2,831,683.71 \text{ cm}^3/\text{s}$

2. Engine Displacement:

   • A car engine with a 400 cubic inches displacement running at 3000 RPM (assuming full displacement per cycle per second): $400 \text{ in}^3 ≈ 400 × 16.387064 \text{ cm}^3$ $≈ 6,554.8256 \text{ cm}^3 \text{ per cycle}$ If an engine completes 50 cycles per second (3000 RPM): $50 \text{ cycles/s} × 6,554.8256 \text{ cm}^3/\text{cycle}$ $≈ 327,741.28 \text{ cm}^3/\text{s}$

3. Flow of Water in a Piping System:

   • A small garden hose might deliver about 2 cubic inches per second: $2 \text{ in}^3/\text{s} ≈ 2 × 16.387064 \text{ cm}^3/\text{in}^3$ $≈ 32.774128 \text{ cm}^3/\text{s}$

Remember to always check the context and ensure appropriate usage of units and conversion factors to maintain accuracy.