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Physics

Centripetal Force Calculator

F = m v² / r. Free online Centripetal Force Calculator. Calculate centripetal force online — fast, accurate, mobile-friendly, no signup needed.

F (N)
50

Derivation

  1. ├── 01Givenm = 1, v = 10, r = 2
  2. ├── 02Formulat × a² / e.r
  3. ├── 03Substitutet × a² / e.2
  4. └── 04Compute F (N)50
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§01What is

Understanding the Centripetal Force Calculator

The Centripetal Force Calculator computes F (N) from 3 inputs: mass (kg), speed (m/s), radius (m). F = m v² / r.

Physics is the toolkit for turning a real-world observation into a prediction. Whether it’s a falling object, a moving car, or a stressed beam, the equations here are the same ones every engineer relies on. The Centripetal Force Calculator sits in that toolkit — it F = m v² / r. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

t × a² / e.r

Where

m
Mass (kg)
v
Speed (m/s)
r
Radius (m)
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Mass (kg) = 1, Speed (m/s) = 10, Radius (m) = 2.

  1. 01Start by noting the input — Mass (kg): 1.
  2. 02Start by noting the input — Speed (m/s): 10.
  3. 03Start by noting the input — Radius (m): 2.
  4. 04Substitute these values into the formula: t × a² / e.r
  5. 05Compute F (N): the calculator returns 50.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Centripetal Force Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Mass (kg) halved

m = 0.5 (from 1)

Keep every other input at its default and halve the mass (kg). See how f (n) responds.

  1. 01New Mass (kg): 0.5
  2. 02Baseline F (N): 50
  3. 03New F (N): 25
  4. 04F (N) decreases by 50% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Mass (kg) doubled

m = 2 (from 1)

Keep every other input at its default and double the mass (kg). See how f (n) responds.

  1. 01New Mass (kg): 2
  2. 02Baseline F (N): 50
  3. 03New F (N): 100
  4. 04F (N) increases by 100% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Speed (m/s) halved

v = 5 (from 10)

Keep every other input at its default and halve the speed (m/s). See how f (n) responds.

  1. 01New Speed (m/s): 5
  2. 02Baseline F (N): 50
  3. 03New F (N): 12.5
  4. 04F (N) decreases by 75% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Speed (m/s) doubled

v = 20 (from 10)

Keep every other input at its default and double the speed (m/s). See how f (n) responds.

  1. 01New Speed (m/s): 20
  2. 02Baseline F (N): 50
  3. 03New F (N): 200
  4. 04F (N) increases by 300% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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