You are here:

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.

We hope you found the Kinematics of Linear SHM Calculator useful with your Physics revision, if you did, we kindly request that you rate this Physics calculator and, if you have time, share to your favourite social network. This allows us to allocate future resource and keep these Physics calculators and educational material free for all to use across the globe. We believe everyone should have free access to Physics educational material, by sharing you help us reach all Physics students and those interested in Physics across the globe.

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)

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

You may also find the following Physics calculators useful.

- Lande G Factor Calculator
- Height Of Liquid Rise In Capillary Tubes Calculator
- Energy Stored In A Charged Capacitor Calculator
- Conservation Of Momentum In 1 D Calculator
- Wood Density Calculator
- Average Velocity Calculator
- Parallax Method Calculator
- 3 D Work Calculator
- Gravitational Potential Energy Calculator
- Calculating Magnetic Field Using The Amperes Law
- Charge Density Calculator
- Gravitational Wave Luminosity Calculator
- Power Induced On A Metal Bar Moving Inside A Magnetic Field Due To An Applied Force Calculator
- Voltage Divider Calculator
- Area Of A Coil Calculator
- Electric Flux Calculator
- Displacement Calculator
- Elastic Collision Calculator
- Elastic Force And Elastic Potential Energy Calculator
- Coaxial Cylinders Capacitance Calculator