Miles per Hour to Feet per Second Formula

Velocity Conversion Formula:

\[ V_{fps} = MPH \times 1.46667 \]

Feet per Second (ft/s):

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1. What is Miles per Hour to Feet per Second Conversion?

Definition: This calculator converts speed from miles per hour (MPH) to feet per second (ft/s).

Purpose: It helps in various fields like physics, engineering, and transportation where speed measurements need to be converted between these units.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{fps} = MPH \times 1.46667 \]

Where:

\( V_{fps} \) — Velocity in feet per second (ft/s)
\( MPH \) — Speed in miles per hour (mi/h)

Explanation: The conversion factor 1.46667 comes from the fact that 1 mile = 5280 feet and 1 hour = 3600 seconds (5280/3600 ≈ 1.46667).

3. Importance of Speed Conversion

Details: Different fields use different speed units. This conversion is particularly important in physics calculations, traffic engineering, and mechanical systems where both units are commonly used.

4. Using the Calculator

Tips: Simply enter the speed in miles per hour. The value must be > 0. The calculator will instantly provide the equivalent in feet per second.

5. Frequently Asked Questions (FAQ)

Q1: Why is the conversion factor 1.46667?
A: It's derived from the ratio of feet in a mile (5280) to seconds in an hour (3600), so 5280/3600 = 1.46667.

Q2: When would I need this conversion?
A: Common in physics problems, vehicle braking distance calculations, and when working with different measurement systems.

Q3: How precise is this conversion?
A: The factor 1.46667 is precise to 6 decimal places (1.466666...). Our calculator shows results to 3 decimal places.

Q4: What's the reverse conversion (ft/s to MPH)?
A: Divide feet per second by 1.46667 (or multiply by 0.681818).

Q5: Is this conversion affected by altitude or temperature?
A: No, this is a pure unit conversion independent of environmental factors.