🎡 Circular Dynamics & Centrifugal G-Force
Centripetal Force & Acceleration Calculator
Calculate circular acceleration ($a_c = v^2/r$), centripetal force ($F_c = m a_c$), experienced G-force loads, angular velocity ($\omega$), and ideal frictionless banked curve angles.
🎢 Roller Coaster Loop (3.2 G)
🚗 Car Highway Curve (0.8 G)
🔬 Lab Centrifuge (23,000 G)
🚀 Artificial 1G Space Ring
Motion Parameters
kg
meters (m)
Centripetal Force (F_c)
2,187.5 N
Acceleration ($a_c$)
31.25 m/s²
Angular Speed ($\omega$)
11.94 RPM
1.25 rad/s
Ideal Bank Angle
72.6° Bank
💡 Formula Calculation:
$$F_c = \frac{m v^2}{r} = \frac{70 \times (25)^2}{20} = 2,187.5\text{ N} \quad (3.19\text{ G})$$
Principles of Centripetal Acceleration
In uniform circular motion, an object changes direction continuously, creating an inward acceleration towards the center of rotation:
- Centripetal Acceleration: $$a_c = \frac{v^2}{r} = \omega^2 r$$
- Newton's Second Law: $$F_c = m a_c = \frac{m v^2}{r}$$
- Ideal Banked Turn (Zero Lateral Friction): $$\tan(\theta) = \frac{v^2}{r g} \implies \theta = \arctan\left(\frac{v^2}{r g}\right)$$