Teaspoons per second to Cubic meters per hour conversion

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

To convert teaspoons per second (tsp/s) to cubic meters per hour (m³/h), you need to follow a series of conversion steps involving different units of measurement. Here’s a step-by-step guide:

1. Convert teaspoons to cubic meters:

   • 1 teaspoon (tsp) is equal to 4.92892 × 10^(-6) cubic meters (m³).

2. Convert seconds to hours:

   • 1 second (s) is equal to 1/3600 hours (h).

Now, let’s put these conversions together to convert 1 tsp/s to m³/h:

Step 1: Convert tsp to m³ 1 tsp = 4.92892 × 10^(-6) m³

Step 2: Multiply by the number of seconds in one hour 1 hour = 3600 seconds

Now, to convert 1 tsp/s to m³/h: $1 \text{ tsp/s} \times 4.92892 \times 10^{-6} \text{ m³/tsp} \times 3600 \text{ s/h}$

$1 \text{ tsp/s} = 4.92892 \times 10^{-6} \text{ m³} \times 3600$

$1 \text{ tsp/s} = 0.017743672 \text{ m³/h}$

So, 1 teaspoon per second is approximately 0.017743672 cubic meters per hour.

Real-World Examples for Other Quantities

1. 2 tsp/s: $2 \times 0.017743672 \text{ m³/h} = 0.035487344 \text{ m³/h}$

2. 5 tsp/s: $5 \times 0.017743672 \text{ m³/h} = 0.08871836 \text{ m³/h}$

3. 10 tsp/s: $10 \times 0.017743672 \text{ m³/h} = 0.17743672 \text{ m³/h}$

Real-World Contexts

1. 2 tsp/s (0.035487344 m³/h): If the flow rate of a small kitchen faucet is 2 tsp/s, it’s relatively slow and could be used for precise cooking measurements or filling a small container.

2. 5 tsp/s (0.08871836 m³/h): This flow rate might be comparable to a drip irrigation system used in gardening where it's essential to control the volume of water precisely to avoid over-watering plants.

3. 10 tsp/s (0.17743672 m³/h): At this rate, it could be the flow from a small laboratory water dispenser used for experiments requiring a steady but moderate flow of water.

By understanding how to convert between units and contextualizing the flow rates, you can better grasp practical applications and the significance of different measurement values in daily life.