Physics Centripetal Acceleration

Center-seeking acceleration in UCM. Distinct from linear acceleration (Δv/t) and from F = ma (use m·a_c for force).

Centripetal acceleration = speed² ÷ radius.

Tip: Keep “Speed (v)” and “Radius (r)” on the same basis (period, units, and population) before calculating Physics Centripetal Acceleration.

Cluster: Physics hub · F = ma · Mechanical power · Academic hub · Percentage guide

Centripetal acceleration for uniform circular motion is speed squared divided by radius.

Enter speed and radius in consistent units (SI → m/s²).

Tangential speed
Path radius

Centripetal Acceleration

Understanding Physics Centripetal Acceleration

How we calculate. Centripetal acceleration = speed² ÷ radius. The form uses the same arithmetic as the worked examples on this page. See our methodology and accuracy policy.

Real-world scenario: A typical Physics Centripetal Acceleration case uses speed (v) 10 and radius (r) 5. Enter the same figures below to reproduce the worked path.

What is Physics Centripetal Acceleration?

Center-seeking acceleration in UCM. Distinct from linear acceleration (Δv/t) and from F = ma (use m·a_c for force).

  • v = tangential speed
  • r = path radius
  • Toward center

The Formula

Centripetal Acceleration
a_c = v² ÷ r

Worked Example

Scenario: Speed 10 m/s; radius 5 m.
Step 1: 10² ÷ 5 = 100 ÷ 5 = 20
Answer: Centripetal acceleration is 20 m/s².

Common Use Cases

  • Homework: circular motion
  • Lab: whirling-mass checks
  • Study: link to centripetal force

Pro Tips

  • Square speed before dividing
  • Radius not diameter
  • Pair with F = ma

Limitations: Physics Centripetal Acceleration results are educational physics study aids—not engineering certification, lab accreditation, or safety advice. Use consistent SI (or clearly labeled) units and confirm formulas with your textbook or instructor.

FAQ

Same as linear acceleration?

No. Linear average acceleration is (v−u)/t. Centripetal a is v²/r for circular paths.

What if radius is 0?

Acceleration is undefined—enter positive radius.

Authoritative References

For physics study concepts, consult: