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# Harmonic Oscillator

## A simple harmonic oscillator.

A simple harmonic motion can be used as a mathematical model for a variety of motions such as the oscillation of a spring.

The time period of a simple harmonic oscillator can be expressed as

T = 2 π (m / k)1/2                            (1)

where

T = time period (s)

m = mass (kg)

k = spring constant (N/m)

### Example - Time Period of a Simple Harmonic Oscillator

A mass of 500 kg is connected to a spring with a spring constant 16000 N/m. The time period can be calculated as

T = 2 π ((500 kg) / (16000 N/m))1/2

= 1.1 s

## Related Topics

• ### Mechanics

Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more.

## Related Documents

• ### Hooke's Law

Hooke's law - force, elongation and spring constant.
• ### Pendulum

A simple pendulum oscillates in the vertical plane due to gravity.
• ### Young's Modulus, Tensile Strength and Yield Strength Values for some Materials

Young's Modulus (or Tensile Modulus alt. Modulus of Elasticity) and Ultimate Tensile Strength and Yield Strength for materials like steel, glass, wood and many more.

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## Citation

• The Engineering ToolBox (2013). Harmonic Oscillator. [online] Available at: https://www.engineeringtoolbox.com/simple-harmonic-oscillator-d_1852.html [Accessed Day Month Year].

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9.19.12