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Rotational G Force Calculator

Rotational G Force Equation:

\[ G = (RPM)^2 \times 1.118 \times 10^{-5} \times r \]

rev/min
cm

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1. What is Rotational G Force?

Rotational G force is the acceleration experienced by an object moving in a circular path, expressed in multiples of Earth's gravitational acceleration (g). It's important in applications like centrifuge design, amusement park rides, and aerospace engineering.

2. How Does the Calculator Work?

The calculator uses the rotational G force equation:

\[ G = (RPM)^2 \times 1.118 \times 10^{-5} \times r \]

Where:

Explanation: The equation shows that G force increases with the square of rotational speed and linearly with radius.

3. Importance of G Force Calculation

Details: Calculating rotational G force is essential for designing safe rotating equipment, understanding physiological effects on humans in centrifuges, and engineering applications where rotational forces are significant.

4. Using the Calculator

Tips: Enter RPM (must be positive), radius in centimeters (must be positive). The calculator will compute the resulting G force.

5. Frequently Asked Questions (FAQ)

Q1: Why does G force increase with radius?
A: At the same RPM, objects farther from the center travel a longer path in the same time, resulting in greater acceleration.

Q2: How does RPM affect G force?
A: G force increases with the square of RPM - doubling RPM quadruples the G force.

Q3: What are typical G forces in applications?
A: Laboratory centrifuges: 1,000-30,000g; Amusement rides: 2-5g; Fighter jets: up to 9g.

Q4: How does this relate to angular velocity?
A: RPM can be converted to angular velocity (radians/second) for alternative G force calculations.

Q5: What's the human tolerance for G forces?
A: Untrained people tolerate about 5g for short periods, while trained pilots can withstand 9g with special suits.

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