Harmonic Motion Motion in Cycles.

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Presentation transcript:

Harmonic Motion Motion in Cycles

What is Harmonic Motion? Motion that repeats; occurs in cycles. Cycle: Unit of motion that repeats over and over. Examples: Pendulums, Earth’s movements, sound or light waves.

Oscillation Oscillation: Oscillator: Vibration: Motion that repeats regularly. Oscillator: A system with harmonic motion Example: Solar system, heart and surrounding muscles Vibration: Motion that varies back and forth; fast movement

Describing Harmonic Motion Period: Time for one cycle to occur. Units: seconds (sec) Frequency: Number of cycles per second. Units: 1/sec or Hertz (Hz) Amplitude: Describes the size of a cycle; Units = meters (m)

Examples of Period/Frequency Problems The period of an oscillator is 15 minutes. What is the frequency of this oscillator in hertz? Remember 1 minute = 60 sec

Examples of Period/Frequency Problems 2. The period of an oscillator is 2 minutes. What is the frequency of the oscillator in Hertz?

Examples of Period/Frequency Problems How often would you push someone on a swing to create a frequency of 0.20 Hertz?

Graphing Harmonic Motion Let’s Make some Graphs!

Linear Graphs vs. Harmonic Graphs

Determining the period and amplitude from a Graph Start by identifying one wave cycle (peak to peak) Period = ending time – starting time Amplitude = ½ (high point – low point) Let’s go back and calculate the period and amplitude of the harmonic graph on the last slide!