Centripetal Acceleration Formula:
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Definition: This calculator determines the G-force experienced in circular motion based on velocity, gravitational acceleration, and radius.
Purpose: It helps engineers, physicists, and designers calculate centripetal acceleration for applications like roller coasters, vehicle turns, and orbital mechanics.
The calculator uses the formula:
Where:
Explanation: The square of velocity is divided by the product of gravitational acceleration and radius to determine the G-force.
Details: Proper G-force estimation ensures safety in vehicle design, amusement rides, and aerospace applications by preventing excessive forces on humans or equipment.
Tips: Enter the velocity in m/s, gravitational acceleration (default 9.81 m/s²), and radius in meters. All values must be > 0.
Q1: What is a typical G-force limit for humans?
A: Most people can tolerate up to 5G briefly, while trained pilots can withstand 9G with special suits.
Q2: How does radius affect G-force?
A: Smaller radii produce higher G-forces at the same velocity, explaining why tight turns feel stronger.
Q3: When would I change the gravity value?
A: Use different values for other planets (3.71 m/s² for Mars) or specific engineering scenarios.
Q4: How is this different from linear acceleration?
A: This calculates radial (centripetal) acceleration perpendicular to the velocity vector.
Q5: Can this calculate orbital G-forces?
A: Yes, it can estimate centripetal acceleration in orbits when using appropriate velocity and radius values.