Introduction to Waves Contents: Pulses/continuous waves

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Presentation transcript:

Introduction to Waves Contents: Pulses/continuous waves Anatomy of a wave v = f Whiteboards Types of waves Energy Transport

Wave Pulses Motion of wave Motion of medium (rope) Demo TOC

Motion of medium (rope) Demo Continuous waves Motion of wave Motion of medium (rope) Demo TOC

Waves move through the medium Medium just goes back and forth Important principle #1 Waves move through the medium Medium just goes back and forth Sound and air Demo TOC

Medium - material through which the wave travels Anatomy of a wave fig 11-23 Medium - material through which the wave travels Amplitude - how big, bright, loud Wavelength -  (Lambda - in m) Wave speed - v (in m/s) - characteristic of medium Period - T (Time for one wavelength to pass - in s) Frequency - (Waves/sec - in 1/s or s-1 or Hz) TOC

Wave speed depends on type of wave and medium Important principle #2 Wave speed depends on type of wave and medium Not on amplitude and frequency Demo big spring TOC

f = 1/T (and of course T = 1/f ) v = f  Anatomy of a wave Basic Wave formulas: f = 1/T (and of course T = 1/f ) v = f  TOC

f = 1/T (and of course T = 1/f ) v = f  Anatomy of a wave Basic Wave formulas: f = 1/T (and of course T = 1/f ) v = f  Example 1: What is the frequency of a wave that takes .12 s for the whole wave to pass by? f = 1/T = 1/.12 s = 8.3 s-1 or 8.3 Hz Example 2: What is the wavelength of an A 440.0 Hz if the speed of sound is 343 m/s? v = f ,  = v/f = (343 m/s)/(440.0 Hz) = .780 m TOC

Whiteboards 1 | 2 | 3 | 4 | 5 | 6 | 7 TOC

What is the period of a 60. Hz wave? f = 1/T T = 1/f = 1/(60 s-1) = .01666 = .017 s W .017 s

What is the frequency of a wave with a period of .003906 s f = 1/T = 1/(.003906 s) = 256.0 Hz W 256.0 Hz

What is the velocity of a 1.12 m wave with a frequency of 32 Hz? v = f  = (32 Hz)(1.12 m) = 35.84 m/s = 36 m/s W 36 m/s

What is the wavelength of a 89.1 MHz FM radio signal? MHz = 106 Hz v = c = 3.00 x 108 m/s (Speed of light) v = f   = v/f = (3.00 x 108 m/s)/(89.1 x 106 Hz) = 3.367 m W 3.37 m

What is the frequency of a sound wave that has a wavelength of 45 cm, where the speed of sound is 335 m/s v = f  f = v/ = (335 m/s)/(.45 m) = 744.444 = 740 Hz W 740 Hz

What is the period of a 12.0 m long radio wave? v = c = 3.00 x 108 m/s (Speed of light) v = f  f = 1/T f = v/ = (3.00 x 108 m/s)/(12.0 m) = 25,000,000 Hz T = 1/f = 1/(25,000,000 Hz) = 4.00 x 10-8 s OR v = s/t, t = s/v = (12 m)/(3.00 x 108 m/s) W 4.00 x 10-8 s