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The Dynamics of Rotational Motion Calculator will calculate:

- Torque in terms of moment of inertia and angular acceleration
- Angular momentum in terms of moment of inertia and angular velocity
- Rotational work in terms of torque and angular displacement
- Rotational kinetic energy in terms of moment of inertia and angular velocity
- Rotational power in terms of torque and angular velocity

The torque calculated by applying Newton's Second Law in the Rotational Motion is N×m |

The angular momentum in rotational motion is kg∙m2/s |

The work in rotational motion is J |

The rotational kinetic energy is J |

The rotational power is W |

Define torque by applying Newton's Second Law in Rotational Motion calculation |
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τ = I × α L = × L = |

Angular momentum in rotational motion calculation |

L = I × ω L = × L = |

Work in rotational motion calculation |

W_{rot} = τ × φW _{rot} = × W _{rot} = |

Rotational kinetic energy calculation |

KE_{rot} = I × ω^{2}/2KE _{rot} = × ^{2}/2KE _{rot} = × /2KE _{rot} = /2KE _{rot} = |

Rotational power calculation |

P_{rot} = τ × ωP _{rot} = × P _{rot} = |

Input Values |

Moment of inertia (I) kg∙m2 |

Angular acceleration (α) rad/s^{2} |

Angular velocity (ω) rad/s |

Angular displacement (φ) rad |

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

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If any of the quantities required within the Dynamics of Rotational Motion Calculator are not explicitly given, please use the an alternative calculator to calculatoe them. For example, you can use the Moment of Inertia Calculator to find the value of Moment of Inertia in different situations if it is not given. Likewise, you can use the Uniformly Accelerated (Decelerated) Circular Motion Calculator to find angular acceleration, angular velocity and angular displacement if the values are missing from your problem or equation.

τ = I × α

L = I × ω

W_{rot} = τ × φ

KE_{rot} = *I × ω*^{2}*/**2*

P_{rot} = τ × ω

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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