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UPII-Wk5

# UPII-Wk5 - University Physics II CLICKERS TO CHAN 13...

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April 21, 2008 University Physics II • Announcements • Waves! CLICKERS TO CHAN. 13

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April 21, 2008 Announcements Thanks for doing RQ4! Pre-lab due today by 12:30 PS4 is posted, due Wednesday Midterm I should be handed back Wed.
April 21, 2008 Waves Waves play a major role in our lives: – Light – Sound Ocean waves Three out of our five sensors are wave detectors – Eyes – Ears – Touch Waves transport energy – Earthquakes – Sound Electrical power (AC)

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April 21, 2008 Question #1 At a football game, the “wave” might circulate through the stands and move around the stadium. In this wave motion, people stand up and sit down as the wave passes. How should we describe this type of wave? 1. Polarized wave 2. Longitudinal wave 3. Lateral wave 4. Transverse wave 5. Soliton wave
April 21, 2008 Types of Waves Wave types – Mechanical – Electromagnetic – Matter Mechanical waves Pulse on a stretched string String particles move vertically while the pulse travels horizontally Sound waves Air gets denser at points v arrowrightnosp Transverse motion and transverse wave Longitudinal motion and longitudinal wave Wave

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April 21, 2008 Question #2 A wave pulse is moving, as illustrated, with uniform speed v along a rope. Which of the graphs 1–4 below correctly shows the relation between the displacement s of point P and time t ? 1. 2. 3. 4.
April 21, 2008 Mechanical Waves Mechanical waves are our focus at this point They propagate through the disturbance of mass (medium) Three things needed: A source A medium A physical interaction in the medium to propagate the wave – However: Wave is not a propagation of the mass Ripples on a pond are waves Water molecules move only up and down Wave moves along the surface Remember that the fishing bobber stays in the same place!

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April 21, 2008 Question #3 1. 2. 3. 4. 5. zero Consider a wave on a string moving to the right, as shown. What is the direction of the velocity of a particle at the point labeled A ? A
April 21, 2008 Transverse Waves y Consider a boat “bobbing” up an down on the waves. If we track its displacement from an arbitrary point with time - we can plot its vertical displacement as a function of time. 2 points of identical phase define: T Period ==> T t No Wind!

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April 21, 2008 Traveling Wave Functional form Traveling wave retains its form Wave (phase) velocity ( 29 ( ) sin , y A k x t t x ϖ φ = - - ( 29 constant kx t ϖ φ - - = 0 dx k dt ϖ - = dx v dt k ϖ = v f k T ϖ λ λ = = = 2 2 k T π λ π ϖ = = 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 t 1 t 2 P P k – angular wave number ω – angular frequency λ – wavelength y λ x
April 21, 2008 Traveling Wave Different functional form Transverse speed of a particle in the string: ( 29 sin y A kx t ϖ φ = + - 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 t 1 t 2 P P Amplitude Phase Phase angle (constant) Wave velocity is negative!

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UPII-Wk5 - University Physics II CLICKERS TO CHAN 13...

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