G Force Formula:
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Definition: This calculator estimates the g-force experienced in circular motion based on velocity in mph, radius of turn, and gravity.
Purpose: It helps engineers, physicists, and motorsport enthusiasts determine the gravitational forces acting on an object in circular motion.
The calculator uses the formula:
Where:
Explanation: The velocity (converted to m/s) is squared and divided by the product of gravity and radius to calculate the g-force.
Details: G-force calculations are crucial for designing safe roller coasters, racetracks, and understanding the forces on pilots or astronauts.
Tips: Enter velocity in mph, radius in meters, and gravity in m/s² (default 9.81). All values must be > 0.
Q1: Why convert mph to m/s?
A: The formula uses SI units (meters and seconds), so mph must be converted to maintain unit consistency.
Q2: What's a typical g-force humans can withstand?
A: Most people can handle 4-6g briefly, while trained fighter pilots can withstand 9g with special equipment.
Q3: How does radius affect g-force?
A: Smaller radius turns at the same speed produce higher g-forces, which is why racetracks have banked curves.
Q4: When would I change the gravity value?
A: You might adjust it for calculations on other planets or in specialized physics problems.
Q5: Does this account for banking angles?
A: No, this calculates only the centripetal g-force. Banked turns would require additional calculations.