Introduction
Unit conversion is a fundamental skill in science, engineering, and everyday calculations. Whether you’re working on a fluid dynamics problem, calculating fuel consumption, or simply trying to understand measurements in different units, knowing how to convert between cubic inches and liters is essential.
In this guide, we’ll walk you through the step-by-step process of converting 54.7 cubic inches per hour (in³/hr) to liters per day (L/day). We’ll cover the necessary conversion factors, provide a detailed calculation, and explain the reasoning behind each step.
Units
Before diving into the conversion, let’s clarify the units involved:
- Cubic Inches (in³) – A unit of volume in the Imperial and U.S. customary systems.
- Liters (L) – A metric unit of volume commonly used worldwide.
- Hours (hr) and Days (day) – Units of time where 1 day = 24 hours.
Our goal is to convert a volumetric flow rate from in³/hr to L/day.
Step 1: Convert Cubic Inches to Liters
First, we need to convert cubic inches (in³) to liters (L). The conversion factor between these two units is:
- 1 cubic inch = 0.0163871 liters
So, to convert 54.7 in³ to liters:54.7 in3×0.0163871 Lin3=0.89627 L54.7in3×0.0163871in3L=0.89627L
This means 54.7 in³/hr is equivalent to 0.89627 L/hr.
Step 2: Convert Hours to Days
Next, we need to adjust the time unit from hours to days. Since there are 24 hours in a day, we multiply the previous result by 24:0.89627 Lhr×24 hrday=21.5105 Lday0.89627hrL×24dayhr=21.5105dayL
Thus, 54.7 in³/hr equals approximately 21.51 L/day.
Final Calculation (Combined Steps)
For efficiency, we can combine both steps into a single equation:54.7 in3hr×0.0163871 Lin3×24 hrday=21.5105 Lday54.7hrin3×0.0163871in3L×24dayhr=21.5105dayL
Rounding to two decimal places, the final answer is:
54.7 in³/hr ≈ 21.51 L/day
Why Is This Conversion Useful?
Understanding how to convert between these units is valuable in various fields:
- Automotive Engineering – Calculating fuel or oil flow rates.
- Chemistry & Fluid Dynamics – Measuring liquid flow in experiments.
- Everyday Applications – Comparing product specifications in different unit systems.
Common Conversion Factors
For quick reference, here are some useful conversion factors:
| Unit Conversion | Factor |
|---|---|
| 1 in³ → L | 0.0163871 L |
| 1 L → in³ | 61.0237 in³ |
| 1 day → hr | 24 hr |
Conclusion
Converting 54.7 cubic inches per hour (in³/hr) to liters per day (L/day) involves two key steps:
- Convert cubic inches to liters using the factor 1 in³ = 0.0163871 L.
- Scale hours to days by multiplying by 24.
The final result is:
54.7 in³/hr = 21.51 L/day
By mastering these conversions, you can confidently work with different unit systems in scientific, industrial, and everyday applications.
FAQs
Q: How many liters are in a cubic inch?
A: 1 cubic inch ≈ 0.0163871 liters.
Q: Why do we multiply by 24 to convert hours to days?
A: Because there are 24 hours in a day.
Q: Can this method be used for other unit conversions?
A: Yes! Similar steps apply when converting between different volume and time units.