Inches per hour to Feet per minute conversion

How to convert inches per hour to feet per minute?

To convert inches per hour to feet per minute, you can use the following conversion factors:

• There are 12 inches in a foot.
• There are 60 minutes in an hour.

Let's break down the conversion step by step, using 1 inch per hour as an example:

1. Start with the given rate: $1 \text{ inch/hour}$

2. Convert inches to feet: Since there are 12 inches in a foot, we divide the number of inches by 12 to convert to feet: $1 \text{ inch} = \frac{1}{12} \text{ feet}$

3. Convert hours to minutes: Since there are 60 minutes in an hour, we divide the time by 60 to convert hours to minutes: $1 \text{ hour} = 60 \text{ minutes}$

4. Combining these, we get: $1 \text{ inch/hour} = \frac{1 \text{ (foot/hour)}}{12} = \frac{1 \text{ foot}}{12 \text{ hours}} = \frac{1 \text{ foot}}{12 \times 60 \text{ minutes}} = \frac{1 \text{ foot}}{720 \text{ minutes}}$ Simplifying, we get: $1 \text{ inch/hour} = \frac{1}{720} \text{ feet/minute} \approx 0.00139 \text{ feet/minute}$

Now, let's consider some other quantities of inches per hour and convert them to feet per minute:

1. 10 inches per hour: $10 \text{ inches/hour} = \frac{10}{12 \times 60} \text{ feet/minute} = \frac{10}{720} \text{ feet/minute} \approx 0.0139 \text{ feet/minute}$

2. 50 inches per hour: $50 \text{ inches/hour} = \frac{50}{12 \times 60} \text{ feet/minute} = \frac{50}{720} \text{ feet/minute} \approx 0.0694 \text{ feet/minute}$

3. 100 inches per hour: $100 \text{ inches/hour} = \frac{100}{12 \times 60} \text{ feet/minute} = \frac{100}{720} \text{ feet/minute} \approx 0.1389 \text{ feet/minute}$

Real-world Examples:

1. Tectonic Plate Movements: Tectonic plates often move very slowly, generally in the order of inches per year. Suppose a tectonic plate is moving at 2 inches per hour; that would translate to roughly 0.00278 feet per minute.

2. Glacial Movement: Glaciers also move very slowly. If a glacier moves at 5 inches per hour, it would be moving at about 0.00694 feet per minute.

3. Molasses Flow: Extremely viscous liquids, like molasses, might flow at a rate of 15 inches per hour, which is about 0.0208 feet per minute.

Understanding these conversions can provide context for various slow-motion phenomena in geology, fluid dynamics, and other fields.