Feet per second to Inches per hour conversion

How to convert feet per second to inches per hour?

Sure, let’s break down the conversion from feet per second to inches per hour and then provide some real-world examples for other quantities of feet per second.

Conversion from Feet per Second to Inches per Hour

1. Understand the Units:

   • 1 foot = 12 inches
   • 1 hour = 3600 seconds

2. Conversion Steps:

   • Convert feet to inches.
   • Convert seconds to hours.

Step-by-Step Calculation:

• Given: 1 foot per second (ft/s)
• 1 foot = 12 inches

So, $1 \text{ ft/s} = 12 \text{ inches/s}$

• There are 3600 seconds in 1 hour.

To find inches per hour from inches per second:

$12 \text{ inches/s} \times 3600 \text{ seconds/hour} = 43200 \text{ inches/hour}$

So, 1 foot per second is equivalent to 43,200 inches per hour.

Real-World Examples for Other Quantities of Feet per Second

1. Walking Speed:

   • Average human walking speed is about 3 to 4 miles per hour.
   • Convert this to feet per second: $1 \text{ mile} = 5280 \text{ feet}$ $4 \text{ miles per hour} = 4 \times 5280 \text{ feet per hour}$ $4 \times 5280 \text{ feet/hour} = 21,120 \text{ feet/hour}$
     • Now convert to feet per second: $\frac{21,120 \text{ feet/hour}}{3600 \text{ seconds/hour}} \approx 5.87 \text{ feet/second}$ So, an average human walks at about 5.87 feet per second.

2. Running Speed:

   • Usain Bolt's top speed during his 100m world record was about 27.8 miles per hour.
   • Convert this speed to feet per second: $27.8 \text{ miles/hour} = 27.8 \times 5280 \text{ feet/hour}$ $27.8 \times 5280 \text{ feet/hour} = 146,784 \text{ feet/hour}$
     • Convert to feet per second: $\frac{146,784 \text{ feet/hour}}{3600 \text{ seconds/hour}} \approx 40.77 \text{ feet/second}$ So, Usain Bolt’s top speed is about 40.77 feet per second.

3. Vehicle Speed:

   • A car traveling at 60 miles per hour.
   • Convert this to feet per second: $60 \text{ miles/hour} = 60 \times 5280 \text{ feet/hour}$ $60 \times 5280 \text{ feet/hour} = 316,800 \text{ feet/hour}$
     • Convert to feet per second: $\frac{316,800 \text{ feet/hour}}{3600 \text{ seconds/hour}} = 88 \text{ feet/second}$ So, a car traveling at 60 miles per hour is moving at 88 feet per second.

These real-world examples help contextualize different quantities of feet per second and their practical implications.