Identify the conversion factor

Oct 13, 2025 by talynt.org 102 views

Introduction

When working with different units of measurement, it's essential to understand how to convert between them. In this article, we'll focus on converting inches per minute to feet per minute. This conversion is crucial in various fields, such as engineering, physics, and everyday applications. We'll explore the correct expression to use for this conversion and provide a step-by-step guide to help you understand the process.

Understanding the Units

Before we dive into the conversion, let's understand the units involved:

Inches (in): A unit of length in the imperial system, equal to 1/12 of a foot.
Minutes (min): A unit of time, equal to 1/60 of an hour.
Feet (ft): A unit of length in the imperial system, equal to 12 inches.

The Correct Expression

To convert 100 inches per minute to feet per minute, we need to use the correct expression. Let's examine the options provided:

A. $\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{60 \text{ minutes}}{1 \text{ hour}}$

B. $\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}$

Analyzing Option A

Option A involves multiplying the number of inches per minute by the number of minutes in an hour. However, this expression is incorrect because it doesn't account for the conversion from inches to feet.

Analyzing Option B

Option B involves multiplying the number of inches per minute by the conversion factor from inches to feet (1 foot / 12 inches). This expression is correct because it accurately converts the units from inches to feet.

Step-by-Step Conversion

Now that we've identified the correct expression, let's perform the conversion step by step:

Identify the conversion factor: The conversion factor from inches to feet is 1 foot / 12 inches.
Multiply the number of inches per minute by the conversion factor: Multiply 100 inches per minute by the conversion factor (1 foot / 12 inches).
Simplify the expression: Simplify the expression to obtain the final result in feet per minute.

Calculating the Result

Let's calculate the result using the correct expression:

$\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{100}{12} \text{ feet per minute}$

Conclusion

In conclusion, the correct expression to convert 100 inches per minute to feet per minute is:

$\frac{100 \text{ inches}}{1 \text{ minute}} \times \frac{1 \text{ foot}}{12 \text{ inches}}$

This expression accurately converts the units from inches to feet, providing the correct result in feet per minute. By following the step-by-step guide and understanding the units involved, you can confidently perform this conversion in various applications.

Common Applications

The conversion from inches per minute to feet per minute has various applications in different fields, including:

Engineering: In engineering, this conversion is crucial when working with mechanical systems, such as conveyor belts or pumps, where the speed is measured in inches per minute.
Physics: In physics, this conversion is essential when studying the motion of objects, such as projectiles or vehicles, where the speed is measured in feet per minute.
Everyday Applications: In everyday applications, this conversion is useful when working with tools or equipment that require precise measurements, such as drill presses or sanders.

Final Thoughts

In conclusion, converting units of measurement is a critical skill in various fields. By understanding the correct expression and following the step-by-step guide, you can confidently perform this conversion and apply it in different applications. Remember to always identify the conversion factor and multiply the number of inches per minute by the conversion factor to obtain the final result in feet per minute.