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The Kinematics of Linear SHM Calculator will calculate:

- Position of an oscillating object at any instant of a SHM
- Velocity of an oscillating object at any instant of a SHM
- Acceleration of an oscillating object at any instant of a SHM

The position of an oscillating object at any instant of a SHM is m |

The velocity of an oscillating object at any instant of a SHM is m/s |

The acceleration of an oscillating object at any instant of a SHM is m/s^{2} |

Position of the object calculation |
---|

x(t) = A × sin( × t + φ)2π/Tx(t) = × sin( × 2 × / + )x(t) = × sin( × / + )x(t) = × sin( × + )x(t) = × sin()x(t) = × x(t) = |

Velocity of the object calculation |

v(t) = A × × sin(2π/T × t + φ)2π/Tv(t) = × × sin(2 × / × 2 × / + )v(t) = × × sin(/ × / + )v(t) = × × sin( × + )v(t) = × × sin()v(t) = × × v(t) = |

Acceleration of the object calculation |

a(t) = -A × ()2π/T^{2} × cos( × t + φ)2π/Ta(t) = - × ()2 × /^{2} × cos( × 2 × / + )a(t) = - × ()/^{2} × cos( × / + )a(t) = - × ()^{2} × cos( × + )a(t) = - × × cos()a(t) = - × × a(t) = |

Kinematics of Linear SHM Calculator Input Values |

Amplitude of oscillation (A) m |

Period of oscillation (T) s |

Phase shift (φ) rad |

Archimedes' constant (π) |

Time (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 kinematics of linear shm calculation, the Kinematics of Linear SHM Calculator will automatically calculate the results and update the Physics formula elements with each element of the kinematics of linear shm calculation. You can then email or print this kinematics of linear shm calculation as required for later use.

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Section 6: Centre of Mass and Linear Momentum

x(t) = A × sin(*2π**/**T* × t + φ)

v(t) = A × *2π**/**T* × sin(*2π**/**T* × t + φ)

a(t) = -A × (*2π**/**T*)^{2} × cos(*2π**/**T* × t + φ)

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