Cubic Centimeters per second to Cubic meters per hour conversion

How to convert cubic centimeters per second to cubic meters per hour?

To convert cubic centimeters per second (cm³/s) to cubic meters per hour (m³/h), you need to follow a two-step process:

1. Convert cubic centimeters to cubic meters.
2. Convert seconds to hours.

Here's the step-by-step process:

Step 1: Convert volume units.

1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³).

$\text{Volume conversion factor} = \frac{1 \text{ m}^3}{1,000,000 \text{ cm}^3}$

Therefore, $1 \text{ cm}^3 = 1 \times 10^{-6} \text{ m}^3$

Step 2: Convert time units.

1 hour (h) is equal to 3,600 seconds (s).

$\text{Time conversion factor} = 3,600 \text{ s/hour}$

Given: $\text{Flow rate} = 1 \text{ cm}^3/\text{s}$

To convert this to cubic meters per hour:

$1 \text{ cm}^3/\text{s} \times \left(1 \times 10^{-6} \text{ m}^3/\text{cm}^3\right) \times \left(3,600 \text{ s/hour}\right) = 3.6 \times 10^{-3} \text{ m}^3/\text{hour}$

So, $1 \text{ cm}^3/\text{s} = 3.6 \times 10^{-3} \text{ m}^3/\text{hour}$

Real-World Examples:

To get a better sense of different quantities, here are a few real-world examples for other flow rates in cm³/s and their conversions:

1. 10 cm³/s: $10 \text{ cm}^3/\text{s} \rightarrow 10 \text{ cm}^3/\text{s} \times 3.6 \times 10^{-3} \text{ m}^3/\text{hour} = 0.036 \text{ m}^3/\text{hour}$ Example: A small aquarium pump might have this rate.

2. 100 cm³/s: $100 \text{ cm}^3/\text{s} \rightarrow 100 \text{ cm}^3/\text{s} \times 3.6 \times 10^{-3} \text{ m}^3/\text{hour} = 0.36 \text{ m}^3/\text{hour}$ Example: A handheld water sprayer or garden sprinkler might use this flow rate.

3. 1000 cm³/s: $1000 \text{ cm}^3/\text{s} \rightarrow 1000 \text{ cm}^3/\text{s} \times 3.6 \times 10^{-3} \text{ m}^3/\text{hour} = 3.6 \text{ m}^3/\text{hour}$ Example: A domestic dishwashing machine operates around this flow rate during water filling.

4. 5000 cm³/s: $5000 \text{ cm}^3/\text{s} \rightarrow 5000 \text{ cm}^3/\text{s} \times 3.6 \times 10^{-3} \text{ m}^3/\text{hour} = 18 \text{ m}^3/\text{hour}$ Example: An industrial water pump might handle this rate for large-scale processes.

By using these examples, you can better understand how various flow rates in cubic centimeters per second scale up to practical applications involving cubic meters per hour.