Feet per minute (ft/min) to Inches per hour (in/h) conversion

Feet per minute to Inches per hour conversion table

Feet per minute (ft/min)Inches per hour (in/h)
00
1720.12674271229
21440.2534854246
32160.3802281369
42880.5069708492
53600.6337135615
64320.7604562738
75040.8871989861
85761.0139416984
96481.1406844106
107201.2674271229
2014402.534854246
3021603.802281369
4028805.069708492
5036006.337135615
6043207.604562738
7050408.871989861
8057610.139416984
9064811.406844106
10072012.674271229
1000720126.74271229

How to convert feet per minute to inches per hour?

Converting between feet per minute and inches per hour involves understanding how these units relate and applying the correct conversion factors. Let's break down the process with step-by-step instructions, formulas, and real-world context.

Understanding the Conversion

The key is recognizing that "feet" and "inches" are both units of length, while "minute" and "hour" are units of time. Converting between them requires converting both the length and time components.

Conversion Formulas

To convert feet per minute (ft/min) to inches per hour (in/hr), use the following formula:

Inches per hour=Feet per minute×12inchesfoot×60minuteshour\text{Inches per hour} = \text{Feet per minute} \times 12 \frac{\text{inches}}{\text{foot}} \times 60 \frac{\text{minutes}}{\text{hour}}

To convert inches per hour (in/hr) to feet per minute (ft/min), use the inverse formula:

Feet per minute=Inches per hour12inchesfoot×60minuteshour\text{Feet per minute} = \frac{\text{Inches per hour}}{12 \frac{\text{inches}}{\text{foot}} \times 60 \frac{\text{minutes}}{\text{hour}}}

Step-by-Step Instructions

Converting 1 ft/min to in/hr:

  1. Multiply by 12 to convert feet to inches: 1 ft=12 inches1 \text{ ft} = 12 \text{ inches}

  2. Multiply by 60 to convert minutes to hours: 1 minute=160 hour1 \text{ minute} = \frac{1}{60} \text{ hour}

  3. Apply the formula: 1ftmin=1ftmin×12inft×60minhr=720inhr1 \frac{\text{ft}}{\text{min}} = 1 \frac{\text{ft}}{\text{min}} \times 12 \frac{\text{in}}{\text{ft}} \times 60 \frac{\text{min}}{\text{hr}} = 720 \frac{\text{in}}{\text{hr}}

    Therefore, 1 foot per minute is equal to 720 inches per hour.

Converting 1 in/hr to ft/min:

  1. Divide by 12 to convert inches to feet: 1 in=112 ft1 \text{ in} = \frac{1}{12} \text{ ft}

  2. Divide by 60 to convert hours to minutes: 1 hr=60 minutes1 \text{ hr} = 60 \text{ minutes}

  3. Apply the formula: 1inhr=1inhr12inft×60minhr=1720ftmin0.001388ftmin1 \frac{\text{in}}{\text{hr}} = \frac{1 \frac{\text{in}}{\text{hr}}}{12 \frac{\text{in}}{\text{ft}} \times 60 \frac{\text{min}}{\text{hr}}} = \frac{1}{720} \frac{\text{ft}}{\text{min}} \approx 0.001388 \frac{\text{ft}}{\text{min}}

    Therefore, 1 inch per hour is approximately equal to 0.001388 feet per minute.

Real-World Examples

  1. Snail's Pace: The speed of a snail is often measured in inches per hour. Converting this to feet per minute can help visualize the snail's progress over shorter time intervals.
  2. Production Line Speed: Consider a production line where items move at a certain speed. Converting between feet per minute and inches per hour might be useful for different scales of analysis.
  3. Conveyor Belt Speed: Conveyor belts in factories or warehouses often have speeds measured in feet per minute. This can be converted to inches per hour for tasks requiring finer precision.
  4. Glacier Movement: While glaciers move incredibly slowly, their movement is often measured in meters per day or inches per hour. This can be useful for understanding the glacier's overall speed over time.

Historical Context

While there isn't a specific law or person directly associated with the feet-per-minute to inches-per-hour conversion, standardized units of measurement have a rich history. The establishment of standard units is often attributed to the need for trade, construction, and scientific accuracy throughout history.

  • The metric system, which aimed to create a universal and rational system of measurement, was developed during the French Revolution. While this conversion involves imperial units, the underlying principle of standardization is similar. (National Institute of Standards and Technology)

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Inches per hour to other unit conversions.

What is Feet per minute?

Feet per minute (ft/min) is a unit of speed, expressing the distance in feet traveled in one minute. It's commonly used to measure relatively slow speeds, like the speed of a conveyor belt or the movement of air in ventilation systems.

Understanding Feet per Minute

Feet per minute represents a linear speed. It answers the question: "How many feet does something travel in one minute?"

Speed (ft/min)=Distance (feet)Time (minutes)\text{Speed (ft/min)} = \frac{\text{Distance (feet)}}{\text{Time (minutes)}}

Formation of Feet per Minute

Feet per minute is derived from the base units of length (feet) and time (minutes). The "foot" is a unit of length in the imperial and US customary systems of measurement. The "minute" is a unit of time, commonly defined as 60 seconds. Combining these, we get a unit for speed.

Real-World Examples

  • Conveyor Belts: Conveyor belt speeds are often measured in feet per minute to ensure efficient material handling in factories and warehouses. For example, a conveyor belt might operate at 30 ft/min.

  • Elevators: The speed of older or service elevators can be specified in feet per minute. Common speeds range from 100-500 ft/min for passenger elevators, but service elevators are typically slower.

  • Air Velocity in HVAC Systems: Airflow within ventilation systems is often measured in feet per minute to ensure proper air circulation and comfort. Recommended air velocity in supply ducts can be between 500-900 ft/min, while return ducts can be 300-700 ft/min.

  • Water Flow: While not a direct speed measurement, the velocity of water flow in pipes can be expressed using feet per minute, calculated from the volumetric flow rate and pipe diameter.

  • Paper and Textile Manufacturing: The rate at which materials move through production lines can be monitored using this unit of measure.

Notable Associations and Facts

While there isn't a specific law or famous figure directly associated with "feet per minute," its use is governed by principles of physics related to motion and mechanics. Understanding speed and velocity is fundamental to classical mechanics, a field significantly shaped by figures like Isaac Newton.

What is inches per hour?

What is Inches per hour?

Inches per hour (in/h) is a unit of speed, specifically measuring the distance traveled in inches over a period of one hour. It's commonly used to express very slow speeds or rates, such as the growth rate of plants, the movement of glaciers, or, most frequently, the rate of precipitation.

Understanding Inches per Hour

Definition

Inches per hour (in/h) is a unit of velocity expressing the distance traveled in inches for every hour.

How it's formed

The unit is formed by dividing a distance measured in inches by a time measured in hours.

Speed (in/h)=Distance (inches)Time (hours)\text{Speed (in/h)} = \frac{\text{Distance (inches)}}{\text{Time (hours)}}

Applications and Examples

Precipitation Rate

Inches per hour is most commonly used to measure the intensity of rainfall.

  • Light rain: Typically less than 0.10 in/h.
  • Moderate rain: Between 0.10 and 0.30 in/h.
  • Heavy rain: More than 0.30 in/h.

You can read more about rate of precipitation from National Weather Service website.

Plant Growth

The growth rate of plants, especially shoots or roots, can be measured in inches per hour, particularly for time-lapse studies or under controlled conditions. For example, certain types of bamboo can grow several inches per hour under optimal conditions.

Glacial Movement

While glaciers typically move very slowly, their movement can be measured in inches per hour over short periods. This is especially true during surges or periods of rapid melting.

Manufacturing Processes

In certain manufacturing or machining processes, the feed rate (how fast a cutting tool moves) might be expressed in inches per hour, especially for very precise or slow operations.

Complete Feet per minute conversion table

Enter # of Feet per minute
Convert 1 ft/min to other unitsResult
Feet per minute to Metres per second (ft/min to m/s)0.005079983744
Feet per minute to Kilometres per hour (ft/min to km/h)0.0182879414784
Feet per minute to Millimeters per hour (ft/min to mm/h)18287.9414784
Feet per minute to Miles per hour (ft/min to mph)0.0113636
Feet per minute to Knots (ft/min to knot)0.009874702266899
Feet per minute to Feet per second (ft/min to ft/s)0.01666661777776
Feet per minute to Inches per hour (ft/min to in/h)720.12674271229