Wave Properties! By Corey Dyer.

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Presentation transcript:

Wave Properties! By Corey Dyer

Simple Harmonic Motion Frequency Period Amplitude Speed Super Position

Simple Harmonic Motion Is typified by the motion of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke’s Law. An object is undergoing simple harmonic motion if the acceleration of the object is directly proportional to its displacement from its equilibrium position. The acceleration is always directed towards the equilibrium.

Frequency and Period Frequency (f) is the number of occurrences of a repeating event per unit time. Frequency is measured in hertz (Hz). Period (T) is the time needed for one complete cycle of vibration to pass a given point. As the frequency of a wave increases, the period of the wave decreases. Measured in time.

Frequency and Period Equations A wave length has a period of 5s. What is the frequency? A wave length has the frequency of 35,000. What is the period?

Video https://www.youtube.com/watch?v=t9HMTeHWi9c

Amplitude Definition. The Amplitude of a wave is referred to maximum amount of displacement of a particle on the medium from its rest position. This measurement goes from rest to the first crest.

Finding the Amplitude A=d/f f= frequency d= displacement a= amplitude Sine Wave y = A sin (ω t + ϕ) y= displacement A= amplitude (m) ω= angular frequency of the wave (m/s) t= period (t) ϕ= Phase of wave (radians

Explaining Phase of the Wave https://www.youtube.com/watch?v=yKL6DjqAm3I

Amplitude Equations Wave is moving constantly down a path. The period between each cycle is 4s and the displacement is 8m. What is the amplitude? A sine wave is at constant. The period is 3s and the amplitude is 4m. The Phase is 90 degrees out of phase. The angular frequency is 2m/s. What is the displacement of the wave?

Speed of a Wave Definition The Speed is of the wave is determined by the wavelength (from crest to crest) divided by the period. The speed also be determined by the wavelength multiplied by the frequency. Speed = Wavelength • Frequency

Speed Equations A trumpet is blaring music out from it’s bell. The sound it produces has a frequency of 10hz, traveling at 20m/s. What is the wavelength in meters? A wave is traveling in the water with a wavelength of 0.2m and it takes 3s for it to pass your knees. What was the speed of the wave?

Super Position Definition The net displacement of the medium at any point in space or time, is simply the sum of the individual wave displacements. Super positioning is mainly found in electrical systems. Definition Superposition is when two wave traveling at the same time and same median cross each other without interfering with the wave properties.