Cubic meters per hour to Cubic Centimeters per second conversion

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

To convert cubic meters per hour (m³/hr) to cubic centimeters per second (cm³/s), you need to account for the differences in volume and time units.

First, note these conversion factors:

• 1 cubic meter (m³) is equivalent to 1,000,000 cubic centimeters (cm³).
• 1 hour is equivalent to 3600 seconds.

The conversion steps are as follows:

1. Convert cubic meters to cubic centimeters: $1 \, \text{m}^3 = 1,000,000 \, \text{cm}^3$

2. Convert hours to seconds: $1 \, \text{hour} = 3600 \, \text{seconds}$

3. Combine the two conversions to get the volume flow rate in cm³/s: $\frac{1 \, \text{m}^3}{\text{hour}} = \frac{1,000,000 \, \text{cm}^3}{3600 \, \text{seconds}}$

4. Simplify the fraction: $\frac{1,000,000}{3600} = 277.78 \, \text{cm}^3/\text{s}$

Therefore, 1 cubic meter per hour is equivalent to approximately 277.78 cubic centimeters per second.

Real World Examples:

1. Home Water Supply:

   • A residential water supply might flow at a rate of 2 m³/hr. $2 \, \text{m}^3/\text{hr} = 2 \times 277.78 \, \text{cm}^3/\text{s} = 555.56 \, \text{cm}^3/\text{s}$

2. Aquarium Pump:

   • A large aquarium pump could have a flow rate of 0.5 m³/hr. $0.5 \, \text{m}^3/\text{hr} = 0.5 \times 277.78 \, \text{cm}^3/\text{s} = 138.89 \, \text{cm}^3/\text{s}$

3. Industrial Cooling System:

   • An industrial cooling system might need to operate at 50 m³/hr. $50 \, \text{m}^3/\text{hr} = 50 \times 277.78 \, \text{cm}^3/\text{s} = 13,889 \, \text{cm}^3/\text{s}$

4. Fire Hydrant:

   • A fire hydrant might have a flow rate of 100 m³/hr. $100 \, \text{m}^3/\text{hr} = 100 \times 277.78 \, \text{cm}^3/\text{s} = 27,778 \, \text{cm}^3/\text{s}$

These examples show the versatility and applicability of converting cubic meters per hour to cubic centimeters per second in different real-world scenarios.