Teaspoons per second to Cubic inches per hour conversion

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

To convert from teaspoons per second (tsp/s) to cubic inches per hour (in³/hr), follow these steps:

1. Understand the conversion factors:

   • 1 teaspoon (US) = 0.300781 cubic inches (in³).
   • 1 hour = 3600 seconds.

2. Set up the relationship:

   • You want to convert from teaspoons per second to cubic inches per hour. Start with your given value (1 tsp/s).

3. Step-by-step calculation:

   • First, convert teaspoons to cubic inches: $1 \text{ tsp} = 0.300781 \text{ in}³$
   • Now, if you're measuring this flow rate per second, convert the time unit from seconds to hours. $1 \text{ second} = \frac{1}{3600} \text{ hours}$
   • Hence, $1 \text{ tsp/s} = 0.300781 \text{ in}³/\text{s}$
   • To find out how many cubic inches this is per hour, multiply by the number of seconds in an hour: $0.300781 \text{ in}³/\text{s} \times 3600 \text{ s/hr} = 1082.8116 \text{ in}³/\text{hr}$

So, 1 teaspoon per second (tsp/s) is equal to 1082.8116 cubic inches per hour (in³/hr).

Real-world Examples:

1. Kitchen Faucets:

   • A slow kitchen faucet might deliver water at a rate of 0.5 tsp/s.
   • Converting to in³/hr: $0.5 \text{ tsp/s} \times 1082.8116 \text{ in}³/\text{hr} = 541.4058 \text{ in}³/\text{hr}$

2. Laboratory Experiments:

   • A lab dropping pipette might drip at 0.1 tsp/s.
   • Converting to in³/hr: $0.1 \text{ tsp/s} \times 1082.8116 \text{ in}³/\text{hr} = 108.28116 \text{ in}³/\text{hr}$

3. Water Flow in Irrigation Systems:

   • A small irrigation emitter might release water at a flow rate of 2 tsp/s.
   • Converting to in³/hr: $2 \text{ tsp/s} \times 1082.8116 \text{ in}³/\text{hr} = 2165.6232 \text{ in}³/\text{hr}$

These calculations enable you to comprehend the volume flow in more familiar terms, helping to gauge the practicality and relevance of various flow rates in different scenarios.