12.1 Physics 6B Waves and Standing Waves

12.1 Physics 6B Waves and Standing Waves - Physics 6B Waves...

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Unformatted text preview: Physics 6B Waves and Sound Examples Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Amplitude (A) Wavelength () Wave is propagating to the right at speed v Wave Basics This is a transverse* wave. The WAVELENGTH () is the distance between successive wave peaks. The PERIOD (T) is the time it takes for the wave to move one wavelength. The FREQUENCY (f) is the reciprocal of the period. f=1/T or T=1/f The main formula for all waves relates these quantities to the wave speed: v = f = /T *Transverse means the wave propagates perpendicular to the displacement of the underlying medium (like waves on water or a string). Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Wave Speeds Speed depends on mechanical properties of the medium (i.e. density or tension, etc.) All waves in the same medium will travel the same speed*. When a wave propagates from one medium to another, its speed and wavelength will change, but its frequency will be constant. *We will see one exception to this later, when we deal with light (Ch. 23). For the specific case of a wave on a string, we have a formula for speed: = = T length mass wave F Tension v 12.6 With what tension must a rope with length 2.5m and mass 0.12 kg be stretched for transverse waves of frequency 40.0Hz to have a wavelength of 0.75m? Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 12.6 With what tension must a rope with length 2.5m and mass 0.12 kg be stretched for transverse waves of frequency 40.0Hz to have a wavelength of 0.75m? m kg tension 048 . m 5 . 2 kg 12 . length mass ; F v = = = = Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 12.6 With what tension must a rope with length 2.5m and mass 0.12 kg be stretched for transverse waves of frequency 40.0Hz to have a wavelength of 0.75m? To use this we need to find the wave speed. Luckily we have a formula for that: = f v m kg tension 048 . m 5 . 2 kg 12 . length mass ; F v = = = = Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 12.6 With what tension must a rope with length 2.5m and mass 0.12 kg be stretched for transverse waves of frequency 40.0Hz to have a wavelength of 0.75m? m kg tension 048 . m 5 . 2 kg 12 . length mass ; F v = = = = To use this we need to find the wave speed. Luckily we have a formula for that: = f v ( 29 ( 29 s m 30 m 75 . Hz 40 v = = Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 12.6 With what tension must a rope with length 2.5m and mass 0.12 kg be stretched for transverse waves of frequency 40.0Hz to have a wavelength of 0.75m?...
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This note was uploaded on 09/09/2011 for the course PHYSICS 6b taught by Professor Staff during the Spring '11 term at UCSB.

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12.1 Physics 6B Waves and Standing Waves - Physics 6B Waves...

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