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The Position, Velocity and Acceleration of a Wavepoint Calculator will calculate the:

- The y-position of a wavepoint at a certain instant for a given horizontal position if amplitude, phase, wavelength and period are known.
- The vertical instantaneous velocity at a certain instant for a given horizontal position if amplitude, phase, wavelength and period are known.
- The vertical instantaneous acceleration at a certain instant for a given horizontal position if amplitude, phase, wavelength and period are known.

Please note that for the purpose of calculations Waves are considered as standing.

The y-position of a wavepoint at a certain instant for a given horizontal position if amplitude, phase, wavelength and period are known is m |

The instantaneous velocity of a wavepoint at a certain instant for a given horizontal position if amplitude, phase, wavelength and period are known is m/s |

The vertical instantaneous acceleration at a certain instant for a given horizontal position if amplitude, phase, wavelength and period are known is m/s^{2} |

Vertical position of wave calculation |
---|

y(x,t) = A × sin × x - 2π/λ × t + φ2π/Ty(x,t) = × sin × 2 × / - × 2 × / + y(x,t) = × sin × / - × / + y(x,t) = × sin × - × + y(x,t) = × siny(x,t) = × y(x,t) = |

Vertical velocity of a wavepoint calculation |

v_{y} = A × × cos2π/λ × x - 2π/λ × t + φ2π/Tv _{y} = × × cos2 × / × 2 × / - × 2 × / + v _{y} = × × cos/ × / - × / + v _{y} = × × cos × - × + v _{y} = × cosv _{y} = × v _{y} = |

Vertical acceleration of a wavepoint calculation |

v_{y} = -A × × sin4π^{2}/T^{2} × x - 2π/λ × t + φ2π/Tv _{y} = - × × sin4 × ^{2}/^{2} × 2 × / - × 2 × / + v _{y} = - × × sin4 × / × / - × / + v _{y} = - × × sin/ × - × + v _{y} = - × × sinv _{y} = × v _{y} = |

Position Velocity And Acceleration Of A Wavepoint Calculator Input Values |

Amplitude (A) m |

Wavelength (λ) m |

Horizontal position of the wavepoint (x) m |

Period of wave (T) s |

Time (t) s |

Archimedes constant (π) |

Initial phase (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 position velocity and acceleration of a wavepoint calculation, the Position Velocity And Acceleration Of A Wavepoint Calculator will automatically calculate the results and update the Physics formula elements with each element of the position velocity and acceleration of a wavepoint calculation. You can then email or print this position velocity and acceleration of a wavepoint calculation as required for later use.

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y(x,t) = A × sin*2π**/**λ* × x - *2π**/**T* × t + φ

v_{y} = A × *2π**/**λ* × cos*2π**/**λ* × x - *2π**/**T* × t + φ

v_{y} = -A × *4π*^{2}*/**T*^{2} × sin*2π**/**λ* × x - *2π**/**T* × t + φ

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

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