Cubic inches per hour to Tablespoons per second conversion

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

To convert cubic inches per hour to tablespoons per second, let's break down the process step-by-step:

Step 1: Understanding the Units

• 1 cubic inch (in³) is a unit of volume.
• 1 hour (hr) is a unit of time.
• 1 tablespoon (tbsp) is also a unit of volume.
• 1 second (s) is another unit of time.

Step 2: Conversion Factors Needed

• 1 hour (hr) = 3600 seconds (s)
• 1 cubic inch (in³) = 1.10823 tablespoons (tbsp)

Step 3: Convert Cubic Inches per Hour to Cubic Inches per Second

Since there are 3600 seconds in an hour: $\text{Cubic inches per hour} \div 3600 = \text{Cubic inches per second}$ For 1 cubic inch per hour: $1 \text{ in³/hr} \div 3600 \approx 0.00027778 \text{ in³/s}$

Step 4: Convert Cubic Inches per Second to Tablespoons per Second

Using the conversion factor: $1 \text{ in³} = 1.10823 \text{ tbsp}$ Therefore: $0.00027778 \text{ in³/s} \times 1.10823 \text{ tbsp/in³} \approx 0.00030776 \text{ tbsp/s}$

So, 1 cubic inch per hour is approximately 0.00030776 tablespoons per second.

Real-World Examples for Other Quantities

Example 1: 100 Cubic Inches per Hour

1. Convert to cubic inches per second: $100 \text{ in³/hr} \div 3600 \approx 0.027778 \text{ in³/s}$
2. Convert to tablespoons per second: $0.027778 \text{ in³/s} \times 1.10823 \text{ tbsp/in³} \approx 0.030776 \text{ tbsp/s}$

Example 2: 500 Cubic Inches per Hour

1. Convert to cubic inches per second: $500 \text{ in³/hr} \div 3600 \approx 0.138889 \text{ in³/s}$
2. Convert to tablespoons per second: $0.138889 \text{ in³/s} \times 1.10823 \text{ tbsp/in³} \approx 0.15388 \text{ tbsp/s}$

Example 3: 1000 Cubic Inches per Hour

1. Convert to cubic inches per second: $1000 \text{ in³/hr} \div 3600 \approx 0.277778 \text{ in³/s}$
2. Convert to tablespoons per second: $0.277778 \text{ in³/s} \times 1.10823 \text{ tbsp/in³} \approx 0.30776 \text{ tbsp/s}$

These examples show how cubic inches per hour can be converted to tablespoons per second for varying quantities. The fundamental process involves converting between volume and time units first, and then applying the appropriate conversion factors.