1. What is a G-Force To Mph Calculator?

Definition: This calculator converts G-force in circular motion to linear velocity in miles per hour (mph) based on the radius of the circular path.

Purpose: It helps engineers, physicists, and motorsports enthusiasts understand the relationship between lateral G-forces and speed in circular motion.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( v_{mph} \) — Velocity (miles per hour)
• \( G \) — G-force (multiples of Earth's gravity)
• \( g \) — Acceleration due to gravity (32.2 ft/s²)
• \( r \) — Radius of circular path (feet)
• 1.4667 — Conversion factor from ft/s to mph

Explanation: The formula calculates the speed required to produce a given G-force when moving in a circle of specified radius.

3. Importance of G-Force to Speed Calculation

Details: Understanding this relationship is crucial for designing roller coasters, racetracks, aircraft maneuvers, and other circular motion applications.

4. Using the Calculator

Tips: Enter the G-force value (e.g., 1 for normal gravity, 2 for double gravity) and the radius of the circular path in feet. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is G-force in simple terms?
A: G-force is a measurement of acceleration felt as weight. 1G equals Earth's gravity (what you feel standing still).

Q2: How does radius affect the speed for a given G-force?
A: Larger radii require higher speeds to achieve the same G-force. The relationship is proportional to the square root of the radius.

Q3: What's a typical G-force in motorsports?
A: Formula 1 cars can experience up to 6G in heavy braking and 4-5G in fast corners.

Q4: Can this calculator be used for vertical loops?
A: Yes, but additional factors like varying G-forces throughout the loop would need to be considered for precise calculations.

Q5: Why is the conversion factor 1.4667?
A: This converts feet per second to miles per hour (1 mph = 1.4667 ft/s).