Feet per minute to Inches per hour conversion

How to convert feet per minute to inches per hour?

Certainly! To convert feet per minute (ft/min) to inches per hour (in/hr), you need to follow these steps:

1. Convert feet to inches:

   • There are 12 inches in a foot. So, to convert feet to inches, multiply the distance in feet by 12.

2. Convert minutes to hours:

   • There are 60 minutes in an hour. So, to convert minutes to hours, multiply the speed in feet per minute by 60.

Let's go through the conversion for 1 foot per minute:

1. Convert 1 ft/min to inches per minute: $1 \, \text{ft/min} \times 12 \, \text{in/ft} = 12 \, \text{in/min}$

2. Convert inches per minute to inches per hour: $12 \, \text{in/min} \times 60 \, \text{min/hr} = 720 \, \text{in/hr}$

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

Real-World Examples with Other Quantities of Feet per Minute:

1. 5 feet per minute: $5 \, \text{ft/min} \times 12 = 60 \, \text{in/min}$ $60 \, \text{in/min} \times 60 = 3,600 \, \text{in/hr}$ 5 feet per minute is equivalent to 3,600 inches per hour.

2. 10 feet per minute: $10 \, \text{ft/min} \times 12 = 120 \, \text{in/min}$ $120 \, \text{in/min} \times 60 = 7,200 \, \text{in/hr}$ 10 feet per minute is equivalent to 7,200 inches per hour.

3. 20 feet per minute: $20 \, \text{ft/min} \times 12 = 240 \, \text{in/min}$ $240 \, \text{in/min} \times 60 = 14,400 \, \text{in/hr}$ 20 feet per minute is equivalent to 14,400 inches per hour.

Real-World Contexts:

• Construction: Knowing the speed of a moving conveyor belt in a manufacturing plant, which is often measured in feet per minute.

• Engineering: Determining the rate of movement for a cutting tool in a CNC machine.

• HVAC Systems: Calculating the airflow speed of a fan or duct system.

• Sports: Measuring the pace of a treadmill for a workout.

In each of these contexts, converting feet per minute to inches per hour can be useful for detailed calculations or to meet specific measurement requirements.