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Centripetal Force Calculator

Science & Engineering

F=mv²/r, rpm conversion, g-force

Quick Answer

Centripetal Force Calculator: F=mv²/r, rpm conversion, g-force. Centripetal Force Calculator uses standard science & engineering formulas to compute accurate results instantly.

kg
m/s
m
Force F
9600.0 N

Calculation steps

  1. 1F = m × v² / r (centripetal force points toward the center)
  2. 2F = 1200 × 20² / 50 = 9600.0 N
  3. 3Equivalent: ω = v/r = 0.400 rad/s, so F = mω²r also works
Angular speed ω0.400 rad/s
Period T15.71 s
Centripetal accel8.00 m/s² (0.82 g)

Real-world centripetal forces

ScenarioWhat provides the force
Car corneringTire-road friction (max ≈ μ·mg)
Satellite orbitGravity
Electron around nucleusElectrostatic attraction
Rollercoaster loop topGravity + track normal force
Banked curveHorizontal component of normal force
"Centripetal force" is not a new kind of force — it is the role played by friction, tension, gravity or normal force. If it vanishes (string snaps), the object flies off along the tangent, not radially outward. The "centrifugal force" you feel is your inertia, a fictitious force in the rotating frame.

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How to Use

  1. Enter known quantities: fill values and confirm units in the Centripetal Force Calculator.
  2. Instant solution: unknowns solve live with the formula shown transparently.
  3. Use constant/material tables: standard physical constants and material data are listed on this page.
  4. Compare conditions: change inputs to compare scenarios.

Key Points

  • Centripetal Force Calculator is a free online science & engineering tool — open and use, no sign-up.
  • All calculations run locally in your browser; your data never leaves the device.
  • Key capability: F=mv²/r, rpm conversion, g-force.
  • Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Centripetal Force Calculator formula

Centripetal Force Calculator uses standard science & engineering formulas to compute accurate results instantly.

FAQ

How do I use the Centripetal Force Calculator?
Open the page and fill in the input fields — results update automatically. F=mv²/r, rpm conversion, g-force.
Are the results accurate?
Yes. Standard formulas and conversion factors are used and verified.
Is it free? Do I need to sign up?
Completely free. No registration, login or download required.
Does it work on mobile?
Yes. The responsive design works on phones, tablets and desktops.
Is my data saved?
No. Everything runs locally in your browser.

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Source & Updates

Based on CODATA recommended constants and standard physics formulas. Last updated: 2025-07

Last updated:

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Maintained and periodically reviewed by the YiJianSuan editorial team — review process in ourEditorial Policy.

Cite this page: YiJianSuan. Centripetal Force Calculator[EB/OL]. https://www.yijiansuan.com/en/c/science/centripetal

Results provided by this tool are for reference only and do not constitute professional advice.