Centripetal Force Calculator
Calculate the centripetal force on an object moving in a circular path.
Centripetal Force (F)
Centripetal Acceleration (a)
Calculation Details
Understanding Centripetal Force
Centripetal force is the net force that keeps an object moving along a circular path. It always points toward the center of the circle. Without this inward force, an object would travel in a straight line according to Newton's first law. The magnitude of the centripetal force is given by F = m × v² / r, where m is the mass, v is the linear speed, and r is the radius of the circular path.
Key Formulas
- F = m × v² / r — Centripetal force
- a = v² / r — Centripetal acceleration
- F = m × a — Force from centripetal acceleration
Real-World Examples
Centripetal force appears everywhere objects move in curves. Here are some practical applications:
- A car turning a corner relies on friction to provide centripetal force
- A satellite in orbit is held by gravity acting as the centripetal force
- A ball on a string swung in a circle is pulled inward by string tension
- Riders on a rotating amusement park ride feel the seat pushing them inward
References
The formulas used in this calculator are based on established physics principles and verified sources:
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Note: This calculator assumes uniform circular motion with constant speed and a constant radius. Results are based on classical Newtonian mechanics and may differ from real-world scenarios involving variable speed, non-circular paths, or relativistic effects.