G Force Formula:
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Definition: This calculator converts speed in miles per hour (mph) to G-force experienced during circular motion based on the radius of the turn.
Purpose: It helps engineers, physicists, and motorsports professionals understand the forces acting on objects or people in circular motion.
The calculator uses the formula:
Where:
Explanation: The formula converts mph to ft/s, calculates centripetal acceleration, and expresses it as a multiple of Earth's gravity.
Details: Understanding G-forces is crucial for designing safe roller coasters, racetracks, and aircraft maneuvers, as well as for human tolerance studies.
Tips: Enter the velocity in mph and the radius of the circular path in feet. All values must be > 0.
Q1: Why convert mph to ft/s?
A: The formula requires consistent units (ft/s and ft) to work with the gravitational constant (32.2 ft/s²).
Q2: What's a typical human G-force tolerance?
A: Most people can tolerate about 5G briefly, while trained fighter pilots can handle 9G with special equipment.
Q3: How does radius affect G-force?
A: Smaller radii produce higher G-forces at the same speed, which is why racetracks have banked turns.
Q4: Can this be used for planetary motion?
A: Yes, but you'd need to adjust the gravitational constant for different celestial bodies.
Q5: What's the difference between G-force and acceleration?
A: G-force is acceleration expressed as a multiple of Earth's gravity (1G = 32.2 ft/s²).