1. What is the Speed G Formula?

Definition: This calculator determines the G-force experienced in circular motion based on velocity, gravitational acceleration, and radius of curvature.

Purpose: It helps engineers, physicists, and students analyze circular motion scenarios like roller coasters, vehicle turns, or orbital mechanics.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( G \) — G-force (dimensionless)
• \( v \) — Velocity (meters/second)
• \( g \) — Gravitational acceleration (9.81 m/s² on Earth)
• \( r \) — Radius of circular path (meters)

Explanation: The formula calculates the centripetal acceleration in terms of Earth's gravity (g-forces).

3. Importance of G-Force Calculation

Details: Understanding G-forces is crucial for designing safe vehicles, amusement park rides, and aircraft maneuvers, as well as for human factors engineering.

4. Using the Calculator

Tips: Enter the velocity in m/s, gravitational acceleration (default 9.81 m/s²), and radius in meters. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What does G-force represent?
A: G-force measures acceleration relative to Earth's gravity. 1G = normal gravity, 2G = twice normal gravity.

Q2: What's a typical G value for humans?
A: Humans can tolerate about 5G briefly, 9G with training, and sustained 1-2G comfortably.

Q3: When would I change the gravity value?
A: For calculations on other planets (3.71 m/s² on Mars) or in microgravity environments.

Q4: How does radius affect G-force?
A: Smaller radius turns at the same speed produce higher G-forces (sharper turns feel stronger).

Q5: What's the relationship between speed and G-force?
A: G-force increases with the square of velocity - double the speed means 4x the G-force.