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The Uniform Circular Motion Calculator calculator will calculate:

- Period of rotation in a uniform circular motion
- Frequency of rotation in a uniform circular motion
- Angular displacement in a uniform circular motion
- Angular velocity in a uniform circular motion
- Tangential velocity in a uniform circular motion
- Centripetal acceleration in a uniform circular motion

A positive number in the calculated result indicates an anticlockwise direction of rotation.

The period of rotation in a uniform circular motion is s |

The frequency of rotation in a uniform circular motion is Hz |

The angular displacement in a uniform circular motion is rad |

The angular velocity in a uniform circular motion is rad/s |

The tangential velocity in a uniform circular motion is m/s |

The centripetal acceleration in a uniform circular motion is m/s^{2} |

Period of rotation calculation |
---|

T = t/NT = t/T = |

Frequency of rotation calculation |

f = N/tf = /f = |

Angular displacement calculation |

φ = N × 2 × π φ = × 2 × φ = |

Angular velocity calculation |

ω = N × 2 × π/tω = × 2 × /ω = /ω = |

Tangential velocity calculation |

v = r × N × 2 × π/tv = × × 2 × /v = /v = |

Centripetal acceleration calculation |

a_{C} = r × N × 2 × π/t^{2}/ra _{C} = × × 2 × /^{2}/a _{C} = /^{2}/a _{C} = ^{2}/a _{C} = /a _{C} = |

Uniform Circular Motion Calculator Input Values |

Radius of curvature (r) m |

Time of rotation (t) s |

Number of rotations (N) |

Pi (π) |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each uniform circular motion calculation, the Uniform Circular Motion Calculator will automatically calculate the results and update the Physics formula elements with each element of the uniform circular motion calculation. You can then email or print this uniform circular motion calculation as required for later use.

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T = *t**/**N*

f = *N**/**t*

φ = N × 2 × π

ω = *N × 2 × π**/**t*

v = *r × N × 2 × π**/**t*

a_{C} = *r × N × 2 × π**/**t*^{2}*/**r*

Or, if you already have the value of tangential velocity, the centripetal acceleration can be shorted to:

a_{C} = *v*^{2}*/**r*

Where v = tangential velocity

The following Physics tutorials are provided within the Rotation section of our Free Physics Tutorials. Each Rotation tutorial includes detailed Rotation formula and example of how to calculate and resolve specific Rotation questions and problems. At the end of each Rotation tutorial you will find Rotation revision questions with a hidden answer that reveals when clicked. This allows you to learn about Rotation and test your knowledge of Physics by answering the test questions on Rotation.

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