In general: v = r \omega

where \omega is the angular speed in rad \, s^{-1} , r is the radius of the circle in metres,

and v is the velocity in ms^{-1} .

where \omega is the angular speed in rad \, s^{-1} , r is the radius of the circle in metres,

and v is the velocity in ms^{-1} .

## Software/Applets used on this page

## Glossary

### angular speed

the rate at which the angle changes in circular motion

### circle

a conic curve with equation (x-a)²+(y-b)²=r²

### speed

velocity without direction; a scalar quantity

### union

The union of two sets A and B is the set containing all the elements of A and B.

### velocity

the rate of change of displacement. It is a vector quantity with magnitude and direction.

## This question appears in the following syllabi:

Syllabus | Module | Section | Topic |
---|---|---|---|

AQA A-Level (UK - Pre-2017) | M2 | Motion in a circle | Angular speed |

AQA AS Further Maths 2017 | Mechanics | Circular Motion | Angular Speed |

AQA AS/A2 Further Maths 2017 | Mechanics | Circular Motion | Angular Speed |

CCEA A-Level (NI) | M2 | Motion in a circle | Angular speed |

CIE A-Level (UK) | M2 | Motion in a circle | Angular speed |

Edexcel A-Level (UK - Pre-2017) | M3 | Motion in a circle | Angular speed |

Edexcel AS Further Maths 2017 | Further Mechanics 2 | Motion in a Circle | Angular Speed |

Edexcel AS/A2 Further Maths 2017 | Further Mechanics 2 | Motion in a Circle | Angular Speed |

OCR A-Level (UK - Pre-2017) | M2 | Motion in a circle | Angular speed |

OCR AS Further Maths 2017 | Mechanics | Motion in a Circle | Angular Speed |

OCR MEI A2 Further Maths 2017 | Mechanics B | Circular Motion | Angular Speed |

OCR-MEI A-Level (UK - Pre-2017) | M3 | Motion in a circle | Angular speed |

Universal (all site questions) | M | Motion in a circle | Angular speed |

WJEC A-Level (Wales) | M2 | Motion in a circle | Angular speed |