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Rotational G Force Calculator

Rotational G Force Formula:

\[ G = \frac{\omega^2 \times r}{g} \]

rad/s
m
m/s²

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1. What is a Rotational G Force Calculator?

Definition: This calculator determines the centrifugal force expressed in G-forces experienced by an object in rotational motion.

Purpose: It helps engineers, physicists, and technicians analyze rotational systems like centrifuges, amusement park rides, and mechanical components.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ G = \frac{\omega^2 \times r}{g} \]

Where:

Explanation: The formula calculates how many times Earth's gravity the centrifugal force equals based on rotation speed and distance from center.

3. Importance of G Force Calculation

Details: Understanding rotational G-forces is crucial for designing safe rotating equipment, analyzing human tolerance in spinning environments, and ensuring structural integrity.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: How do I convert RPM to rad/s?
A: Multiply RPM by 0.10472 (2π/60). For example, 100 RPM = 10.472 rad/s.

Q2: What's a typical G-force humans can tolerate?
A: Untrained people can handle about 5G briefly, while fighter pilots with training can withstand 9G for short periods.

Q3: When would I change the gravity value?
A: You might adjust it for calculations on other planets or in different gravitational environments.

Q4: How does radius affect G-force?
A: G-force increases linearly with radius - doubling the distance from center doubles the G-force at the same rotational speed.

Q5: What's the difference between G-force and centrifugal force?
A: G-force expresses centrifugal force relative to Earth's gravity (1G = 9.81 m/s²).

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