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The Wave Equation

The Wave Equation. Waves : Reminder. TRANSVERSE WAVES. Crest / Peak. . a. .  Displacement +. Time. a. . Trough. Waves : Reminder. LONGITUDINAL WAVES. Compression. Compression. Rarefaction. Rarefaction. . . Waves : Sound waves. SOUND WAVES ARE LONGITUDINAL WAVES.

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The Wave Equation

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  1. The Wave Equation

  2. Waves : Reminder TRANSVERSE WAVES Crest / Peak  a  Displacement+ Time a  Trough

  3. Waves : Reminder LONGITUDINAL WAVES Compression Compression Rarefaction Rarefaction  

  4. Waves : Sound waves SOUND WAVES ARE LONGITUDINAL WAVES In a logitudinal wave each part of the mediummoves in the same direction as the direction the energy is moving in: particle movement energy movement When you speak to someone, the air vibrates as a longitudinal wave :

  5. Animation to demonstrate wavelength, amplitude and frequency

  6. Waves : Frequency The number of wave cycles passing a point each second is called FREQUENCY [ƒ] Frequency [ƒ] is measured in hertz [Hz] Frequency [ƒ] = Number of wave cycles passed  Time [s] 1 wave cycle per second = 1 Hz If the wave below passes a point in 1 second, what is it’s frequency? 4Hz 4 wave cycles in 1 second is a frequency of 1 2 3 4

  7. Waves : Frequency Complete the table 6 3 5 10 0.5 1

  8. Waves : wave speed and wave equation Wave speed depends on: The type of wave: TRANSVERSE or LONGITUDINAL The MEDIUM through which the wave is travelling. Frequency and wavelength are related to the wave speed by the equation v=  x  For the Higher Tier papers, you will need to be able to change the subject of the formula :  = v  and  = v 

  9. Formula triangles Formula triangles help you to rearrange formula. The triangle for the wave equation is shown below: Whatever quantity you are trying to find cover it up and it will leave you with the calculation required. …and you are left with the sum… So if you were trying to find frequency, f….. f = v  v   …you would cover f up… f  x

  10. Wave equation – complete the table f 3.0 0.2 1.32 2.4 0.0097

  11. Ultraviolet Water Light Sound Which wave below is a longitudinal wave? 

  12. Metres Hertz metres Hertz/metres Hertz What are the units of frequency? 

  13. 1.2 m/s 0.88 m/s 3.0 m/s 30 m/s A wave has a wavelength of 6m and a frequency of 5Hz. What is the speed of the wave? 

  14. Home Learning

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