Harmonic Motion Repeats itself over and over again Examples?

Cycle Building block of harmonic motion Unit of motion that repeats over and over Harmonic motion = sequence of cycles

Harmonic motion in Nature Examples? –Heart –Solar system –Electrons moving around atom –El Nino, La Nina Oscillators- systems that show harmonic motion

Harmonic motion in art and music Examples? Music Color

Harmonic Motion in technology Cell phones FM radio Telling time - Grandfather clocks, atomic clocks

Harmonic Motion Period- time to complete one cycle Frequency- number of cycle per second One cycle per second= a hertz (Hz)

Period and Frequency T= 1/f f= 1/T T= Period (seconds) f= frequency in Hz

Amplitude- size of the cycle Damping- gradual loss of amplitude (friction)

Graphing Harmonic motion Use positive and negative values Start zero halfway up y-axis

Amplitude from graph Half the distance between the highest and lowest points on the graph Amplitude = 1/2 (high-low)

Period from graph Time difference between the beginning of the cycle and the end Period = (ending time- beginning time)

Examples of Oscillators Pendulum Mass on a spring Vibrating string