physics mechanics

Centripetal Force & Acceleration Calculator (F_c = m v² / r)

Circular motion dynamics tool. Evaluates force directed towards center of curvature radius required to keep body turning.

Input Parameters

Object Mass (m in kg)

Tangential Velocity (v in m/s)

Radius of Curvature (r in meters)

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Centripetal Acceleration a_c = v² / r. Centripetal Force F_c = m * a_c.

In-Depth Guide & Mathematical Methodology

🔄 Centripetal Force & Motion Formulas

Centripetal Acceleration: a_c = v² / r

Centripetal Force: F_c = m × (v² / r)

Frequently Asked Questions (FAQ)

What is the Centripetal Force & Acceleration Calculator (F_c = m v² / r) and how does it work?

Circular motion dynamics tool. Evaluates force directed towards center of curvature radius required to keep body turning.

How do I use this Centripetal Force & Acceleration Calculator (F_c = m v² / r)?

Enter Turning Object Mass ($m$ in kg). Enter Tangential Velocity ($v$ in m/s). Enter Radius of Curvature ($r$ in meters). View Centripetal Force (N) and Centripetal Acceleration ($m/s^2$).

What mathematical formula is used in this calculation?

Centripetal Acceleration a_c = v² / r. Centripetal Force F_c = m * a_c.

Is the Centripetal Force & Acceleration Calculator (F_c = m v² / r) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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