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Simple Harmonic Motion Position Calculator

Use this online simple harmonic motion position calculator with labeled inputs and a worked example. x = A cos(ωt + φ).

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harmonic oscillator position calculator online

Use simple harmonic motion position calculator online with the physical quantities shown below. Undamped harmonic motion; phase input is in degrees, angular frequency in radians per second.

How to use it

Enter Amplitude (m). Set Angular frequency (rad/s), Time (s), Initial phase (degrees). Select Calculate, check the result units, then copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
Amplitude (m)Main input. Decimal or scientific notation. Zero or positive values. 0.1
Angular frequency (rad/s)Option. Decimal or scientific notation. Zero or positive values. 2
Time (s)Option. Decimal or scientific notation. Zero or positive values. 0
Initial phase (degrees)Option. Decimal or scientific notation. 0

Calculation method

x = A cos(ωt + φ)

Worked examples

Worked case for simple harmonic motion position calculator. Undamped harmonic motion; phase input is in degrees, angular frequency in radians per second.

Simple Harmonic Motion Position Calculator — example with explicit inputs

Settings: Angular frequency (rad/s): 2; Time (s): 0; Initial phase (degrees): 0

Input:

0.1

Expected result for the example input and options:

Output:

{
  "position_m": 0.1,
  "velocity_m_s": 0,
  "acceleration_m_s2": -0.4
}

Limitations and common mistakes

  • Undamped harmonic motion; phase input is in degrees, angular frequency in radians per second.
  • Match every input to its displayed unit; scientific notation such as 1e-6 is accepted.
  • This is the documented idealized model; real systems may require additional effects and measurement uncertainty.

Frequently asked questions

How can I use harmonic oscillator position calculator online?

Enter Amplitude (m). Set Angular frequency (rad/s), Time (s), Initial phase (degrees). Select Calculate, check the result units, then copy or download the JSON result.

Which model does Simple Harmonic Motion Position Calculator use?

x = A cos(ωt + φ). Undamped harmonic motion; phase input is in degrees, angular frequency in radians per second.

Technical references

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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