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Aim: How can we explain wave fronts?. Do Now: A transverse wave travels at a frequency of 120 Hz with a wavelength of 2.5 m. Calculate its velocity. v = f λ v = (120 Hz)(2.5 m) v = 300 m/s. 2 meters. What is the wavelength? 3.5 λ = 21 meters λ = 6 meters. 21 meters.
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Aim: How can we explain wave fronts? Do Now: A transverse wave travels at a frequency of 120 Hz with a wavelength of 2.5 m. Calculate its velocity. v = fλ v = (120 Hz)(2.5 m) v = 300 m/s
2 meters • What is the wavelength? 3.5λ = 21 meters λ = 6 meters 21 meters • What is the amplitude? • A = 1 m • If the T = 8 sec., what is the f? • f = 1/T • f = 1/8 Hz • What is the velocity of the wave? • v = fλ • v = (1/8sec)(6 m) • v = 0.75 m/s
Wave fronts Point Source ex: Pebble in Water Solid Lines - crests Dotted Lines - troughs Crest to crest (1 λ) Trough to trough (1 λ) Crest to trough (1/2 λ)
Example • What is the wavelength? 4λ = 80 m λ = 20 m Distance from A to B is 80 meters. 2) If frequency is 0.5 Hz, what is the period? T = 1/f T = 1/0.5 Hz T = 2 seconds 3) What is the velocity of the wave? v = fλ v = (0.5Hz)(20 m) v = 10 m/s
Your Turn The distance between A and B is 120 meters. • What is the wavelength? A B 2. If the period is 3.5 seconds, what is the frequency? f = 1/T f = 1/3.5 s f = 0.29 Hz 3. What is the velocity of the wave? v = fλ v = (0.29 Hz)(24 m) v = 7 m/s 5 λ = 120 m λ = 24 m