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FPS to MPH Conversion Formula:
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FPS to MPH conversion is the process of converting speed measurements from feet per second to miles per hour. This conversion is commonly used in physics, engineering, and everyday applications where different speed units need to be compared or converted.
The conversion uses the formula:
Where:
Explanation: The conversion factor is derived from the relationship between feet and miles (1 mile = 5280 feet) and seconds and hours (1 hour = 3600 seconds). The formula simplifies to FPS × (3600/5280) = FPS × (15/22).
Details: Converting between FPS and MPH is essential for comparing speeds across different measurement systems, particularly in transportation, sports science, and engineering applications where both imperial units are used.
Tips: Enter the speed in feet per second (FPS) as a positive number. The calculator will automatically convert it to miles per hour (MPH) with high precision.
Q1: Why is the conversion factor 0.681818?
A: This factor comes from the ratio 15/22, which is derived from (3600 seconds/hour) ÷ (5280 feet/mile) = 3600/5280 = 15/22 ≈ 0.681818.
Q2: What is the reverse conversion (MPH to FPS)?
A: To convert MPH to FPS, use the formula: FPS = MPH × 1.46667 (which is exactly 22/15).
Q3: When is FPS commonly used?
A: Feet per second is often used in physics calculations, ballistics, and some engineering fields, particularly in the United States where imperial units are prevalent.
Q4: How accurate is this conversion?
A: The conversion is mathematically exact when using the fraction 15/22. The decimal 0.681818 is a repeating decimal approximation.
Q5: Are there common reference points for FPS and MPH?
A: Yes, for example: 88 FPS = 60 MPH, 44 FPS = 30 MPH, 22 FPS = 15 MPH. These are useful for quick mental calculations.