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The Uniformly Accelerated (Decelerated) Circular Motion Calculator will calculate:

- Angular acceleration when the initial and final angular velocities and moving time are given
- Angular displacement when the initial and final angular velocities and moving time are given

The angular acceleration when the initial and final angular velocities and moving time are given is rad/s^{2} |

The angular displacement when the initial and final angular velocities and moving time are given is rad |

Angular acceleration |
---|

α = ω - ω_{0}/tα = - /α = /α = |

Angular displacement |

φ = (ω_{0} + ω) × t/2φ = ( + ) × /2φ = () × /2φ = /2φ = |

Uniformly Accelerated Decelerated Circular Motion Calculator Input Values |

Initial angular velocity (ω_{0}) rad/s |

Final angular velocity (ω) rad/s |

Time of rotation (t) s |

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

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α = *ω - ω*_{0}*/**t*

φ = *(ω*_{0} + ω) × t*/**2*

φ = ω_{0} × t + *α × t*^{2}*/**2*

and

ω^{2} - ω^{2}_{0} = 2 × α × φ

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