Feet Per Second to Inches Per Minute
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1 foot per second (fps) = 720 inch per minute (in/min). Foot Per Second (fps) is a unit of Speed used in Standard system. Inch Per Minute (in/min) is a unit of Speed used in Standard system.

Feet per second: A unit of speed

Feet per second (ft/s) is a unit of speed or velocity in the US customary and imperial systems. It measures how fast an object is moving by calculating the distance traveled in feet divided by the time taken in seconds. For example, if a person walks 10 feet in 2 seconds, their speed is 5 ft/s.

How to convert feet per second

Feet per second can be converted to other units of speed or velocity by using simple conversion factors. Here are some common units and their conversion factors:

• Meters per second (m/s): To convert from ft/s to m/s, multiply by 0.3048. To convert from m/s to ft/s, divide by 0.3048. For example, 1 ft/s is equal to 0.3048 m/s, and 10 m/s is equal to 32.8084 ft/s.
• Kilometers per hour (km/h): To convert from ft/s to km/h, multiply by 1.09728. To convert from km/h to ft/s, divide by 1.09728. For example, 1 ft/s is equal to 1.09728 km/h, and 50 km/h is equal to 45.8734 ft/s.
• Miles per hour (mph): To convert from ft/s to mph, multiply by 0.681818. To convert from mph to ft/s, divide by 0.681818. For example, 1 ft/s is equal to 0.681818 mph, and 30 mph is equal to 44 ft/s.
• Knots (kn): To convert from ft/s to kn, multiply by 0.592484. To convert from kn to ft/s, divide by 0.592484. For example, 1 ft/s is equal to 0.592484 kn, and 15 kn is equal to 25.3281 ft/s.
• Inches per second (in/s): To convert from ft/s to in/s, multiply by 12. To convert from in/s to ft/s, divide by 12. For example, 1 ft/s is equal to 12 in/s, and 20 in/s is equal to 1.66667 ft/s.
• Miles per second (mi/s): To convert from ft/s to mi/s, multiply by 0.000189394. To convert from mi/s to ft/s, divide by 0.000189394. For example, 1 ft/s is equal to 0.000189394 mi/s, and 1 mi/s is equal to 5280 ft/s.

Where feet per second are used

Feet per second are mainly used in engineering and aviation to measure the speed or velocity of machines and aircrafts.

For example, the speed of sound in air at sea level is about 343 m/s or about 1125 ft/s.

The maximum speed of a Boeing 747 jet airliner is about 988 km/h or about 2717 ft/s.

The average speed of a bullet fired from a handgun is about 1200 ft/s.

Definition of feet per second

According to the US customary and imperial systems definition, one foot per second is the speed of a body that covers a distance of one foot in a time of one second.

Mathematically, it can be expressed as:

v = s / t

where v is the speed or velocity in feet per second, s is the distance traveled in feet, and t is the time taken in seconds.

History of feet per second

The concept of speed or velocity has been studied since ancient times by philosophers and scientists such as Aristotle, Galileo, Newton, etc.

The foot was originally derived from the Roman foot which was defined as one third of a yard or about 11.65 inches.

The second was originally defined in terms of the Earth’s rotation as one eighty-six thousand four hundredth of a mean solar day.

The combination of these two units resulted in the foot per second as a unit of speed or velocity.

The foot per second was officially adopted as part of the US customary and imperial systems in the late 18th century.

Example conversions of feet per second to other units

Here are some examples of converting feet per second to other units of speed or velocity:

1 ft/s = 0.3048 m/s = 1.09728 km/h = 0.681818 mph = 0.592484 kn = 12 in/s = 0.000189394 mi/s
2 ft/s = 0.6096 m/s = 2.19456 km/h = 1.36364 mph = 1.18497 kn = 24 in/s = 0.000378788 mi/s
5 ft/s = 1.524 m/s = 5.4864 km/h = 3.40909 mph = 2.96241 kn = 60 in/s = 0.00094697 mi/s
10 ft/s = 3.048 m/s = 10.9728 km/h = 6.81818 mph = 5.92482 kn = 120 in/s = 0.00189394 mi/s
20 ft/s = 6.096 m/s = 21.9456 km/h = 13.6364 mph = 11.8496 kn = 240 in/s = 0.00378788 mi/s
50 ft/s = 15.24 m/s = 54.864 km/h = 34.0909 mph = 29.6241 kn = 600 in/s = 0.0094697 mi/s
100 ft/s = 30.48 m/s = 109.728 km/h = 68.1818 mph = 59.2482 kn = 1200 in/s = 0.0189394 mi/s

Inches Per Minute

Definition of Inches Per Minute

Inches per minute (ipm) is a unit of speed that measures how fast something is moving in terms of inches per unit of time. It is commonly used in machining applications, such as when describing the feed rate of a milling machine or a drill bit. The feed rate is the distance that the tool moves along the workpiece in one minute.

One inch per minute is equal to 0.00042333333333333 meters per second, or 0.0254 meters per minute. It can also be converted to other units of speed, such as feet per minute, miles per hour, or kilometers per hour, by using appropriate conversion factors.

How to Convert Inches Per Minute

To convert inches per minute to other units of speed, we need to multiply or divide by the corresponding conversion factors. For example, to convert inches per minute to feet per minute, we need to multiply by 12, since there are 12 inches in one foot. To convert inches per minute to miles per hour, we need to multiply by 0.056818181818182, since there are 0.056818181818182 miles in one inch.

Here are some examples of how to convert inches per minute to other units of length in the US Standard system and the SI system:

• To convert 10 ipm to feet per minute (fpm), we multiply by 12: 10 ipm x 12 = 120 fpm
• To convert 20 ipm to yards per minute (ypm), we divide by 36, since there are 36 inches in one yard: 20 ipm / 36 = 0.55555555555556 ypm
• To convert 30 ipm to miles per hour (mph), we multiply by 0.056818181818182: 30 ipm x 0.056818181818182 = 1.7045454545455 mph
• To convert 40 ipm to millimeters per minute (mm/min), we multiply by 25.4, since there are 25.4 millimeters in one inch: 40 ipm x 25.4 = 1016 mm/min
• To convert 50 ipm to centimeters per minute (cm/min), we multiply by 2.54, since there are 2.54 centimeters in one inch: 50 ipm x 2.54 = 127 cm/min
• To convert 60 ipm to meters per minute (m/min), we multiply by 0.0254, since there are 0.0254 meters in one inch: 60 ipm x 0.0254 = 1.524 m/min

Where Inches Per Minute Are Used

Inches per minute are mainly used in the United States and other countries that use the US Standard system of measurement. They are often used in machining applications, such as milling, drilling, turning, and cutting, where the feed rate of the tool is an important parameter that affects the quality and efficiency of the process.

For example, a milling machine may have a feed rate of 100 ipm, which means that the tool moves along the workpiece at a speed of 100 inches per minute. A drill bit may have a feed rate of 20 ipm, which means that it advances into the material at a speed of 20 inches per minute.

Inches per minute are also used in some other fields, such as woodworking, printing, sewing, and conveyor belts, where the speed of movement is measured in inches per unit of time.

History of Inches Per Minute

The origin of inches per minute as a unit of speed can be traced back to the development of machining tools and techniques in the Industrial Revolution. As machines became more advanced and precise, there was a need for a standard unit of measurement that could describe the speed and feed rate of the tools.

Inches per minute were chosen as a convenient and simple unit that could be easily calculated and adjusted based on the size and type of the tool and the material being worked on. Inches were already a common unit of length in the US Standard system, so they were easy to apply and understand.

Inches per minute have been used ever since as a standard unit of speed for machining applications in the United States and other countries that use the US Standard system. They have also been adopted by some other fields that involve movement in inches per unit of time.

Example Conversions of Inches Per Minute to Other Units

Here are some examples of how to convert inches per minute to other units of speed, using the conversion factors given above:

• To convert 100 ipm to feet per minute, we multiply by 12: 100 ipm x 12 = 1200 fpm
• To convert 200 ipm to yards per minute, we divide by 36: 200 ipm / 36 = 5.5555555555556 ypm
• To convert 300 ipm to miles per hour, we multiply by 0.056818181818182: 300 ipm x 0.056818181818182 = 17.045454545455 mph
• To convert 400 ipm to millimeters per minute, we multiply by 25.4: 400 ipm x 25.4 = 10160 mm/min
• To convert 500 ipm to centimeters per minute, we multiply by 2.54: 500 ipm x 2.54 = 1270 cm/min
• To convert 600 ipm to meters per minute, we multiply by 0.0254: 600 ipm x 0.0254 = 15.24 m/min
• To convert 700 ipm to kilometers per hour, we multiply by 0.09144, since there are 0.09144 kilometers in one inch: 700 ipm x 0.09144 = 64.008 km/h