Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given by

Equation1

and, because the frequency and period have inverse relation, the frequency of a simple harmonic oscillator is

Equation2

Note that neither period nor frequency has any dependence on amplitude, and the SI unit for frequency is Hertz.

Now, consider one example of each. (a) A medical imaging device produces ultrasound by oscillating with a period of 0.400 μs. What is the frequency of this oscillation? (b) The frequency of middle C on a typical musical instrument is 264 Hz. What is the time for one complete oscillation?

Both can be answered using the inverse relationship between period and frequency. Substituting the given value of period in the frequency expression, the frequency of oscillation is found.

Equation3

Substituting the given value for the frequency into the time period expression, the time for one complete oscillation is obtained.

Equation4

Tags
Simple Harmonic MotionOscillatory MotionHooke s LawSimple Harmonic OscillatorEquilibrium PositionPeriodFrequencyInverse RelationAmplitudeHertzUltrasound OscillationMedical Imaging DeviceMiddle C FrequencyComplete Oscillation

Del capítulo 15:

article

Now Playing

15.1 : Simple Harmonic Motion

Oscilaciones

8.2K Vistas

article

15.2 : Características del movimiento armónico simple

Oscilaciones

10.0K Vistas

article

15.3 : Oscilaciones en torno a la posición de equilibrio

Oscilaciones

5.0K Vistas

article

15.4 : Energía en movimiento armónico simple

Oscilaciones

6.4K Vistas

article

15.5 : Frecuencia del sistema de resorte-masa

Oscilaciones

4.7K Vistas

article

15.6 : Movimiento armónico simple y movimiento circular uniforme

Oscilaciones

3.9K Vistas

article

15.7 : Resolución de problemas: energía en movimiento armónico simple

Oscilaciones

1.0K Vistas

article

15.8 : Péndulo simple

Oscilaciones

4.3K Vistas

article

15.9 : Péndulo torsional

Oscilaciones

4.9K Vistas

article

15.10 : Péndulo físico

Oscilaciones

1.5K Vistas

article

15.11 : Medición de la aceleración debida a la gravedad

Oscilaciones

407 Vistas

article

15.12 : Oscilaciones amortiguadas

Oscilaciones

5.3K Vistas

article

15.13 : Tipos de amortiguación

Oscilaciones

6.1K Vistas

article

15.14 : Oscilaciones forzadas

Oscilaciones

5.9K Vistas

article

15.15 : Concepto de Resonancia y sus Características

Oscilaciones

4.5K Vistas

JoVE Logo

Privacidad

Condiciones de uso

Políticas

Investigación

Educación

ACERCA DE JoVE

Copyright © 2025 MyJoVE Corporation. Todos los derechos reservados