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 (units, period, and definition) before you calculate.

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. 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
ScenarioWhen to use
Percent of a numberFinding a part of a whole (tax, tip, score)
Percent changeComparing old vs new values

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.

Common mistakes

  • Swapping part and whole: The denominator must be the full total, not a subset.
  • Rounding too early: Carry extra decimal places through multi-step work before rounding the final percent.
  • Mixing percent and decimal forms: Enter rates in the format the calculator labels expect.

The worked example for physics centripetal acceleration was verified with the calculator form on this page—enter the same values to confirm the result.

When to use this calculator

  • Use this page when your wording matches physics centripetal acceleration and the form labels on screen.
  • Use percent of a number for “what is X% of Y?” problems.
  • Use number is what percent when you know part and whole and need the percent.

Still unsure about physics centripetal acceleration? Start with the quick answer above, then open the linked calculator that matches your wording.

Frequently Asked Questions

How do I use this physics centripetal acceleration calculator?

For physics centripetal acceleration, enter the values labeled on the form, then press Calculate. Compare the result to the worked example on this page.

What formula does this page use?

See the quick answer and formula box above for physics centripetal acceleration—the same percentage calculator expression is applied to your inputs.

What if my result looks wrong?

When checking physics centripetal acceleration, re-check part vs whole (or rate vs base), rounding, and whether percents were entered as 25 rather than 0.25 when the form expects percents.

Authoritative References

For physics study concepts, consult: