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AP Physics B. Waves and Energy Transfer. TEKS Objective: 8A. The student knows the characteristics and behavior of waves. The student is expected to:
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AP Physics B Waves and Energy Transfer
TEKS Objective: 8A • The student knows the characteristics and behavior of waves. The student is expected to: (A) Examine and describe waves propagated in various types of media and describe wave characteristics such as velocity, frequency, amplitude, and behaviors such as reflection, refraction, and interference.
Two Main Topics • Wave properties • Wave behavior
Waves transfer energy • A wave pulse is a single disturbance • http://www.colorado.edu/physics/phet/simulations/stringwave/stringWave.swf • A repeated disturbance is a continuous wave pattern
Wave properties • Mechanical Waves – transfer energy, require a medium and obey Newton’s Laws of Motion What is a medium? • Sound waves – called compressional or longitudinal waves • Transverse wave – move through the medium, making an “s” shape
Speed – how fast the wave is moving Unit: m/s Formula: 2. Measuring Waves
2. Measuring waves continued: • Amplitude – maximum displacement from equilibrium • Wavelength – the distance need to make one complete cycle or wave, usually measured from crest to crest (λ), usually measured in meters.
2. Measuring waves continued: • Period – the time needed to make one complete wave or cycle (T) unit is usually the second • Frequency – the number of waves or cycles in a time unit (usually one second) (f) Unit is the Hertz (Hz)
2. Measuring Waves continued: • Period and frequency have an inverse relationship
3. Parts of a Wave • Crest – highest point of a wave • Trough – lowest point of a wave • Amplitude – maximum displacement from line of equilibrium • Wavelength – λ the distance needed to complete one wave or cycle
4. Two types of waves: • Transverse – particles vibrate perpendicular to the direction of the wave motion
Longitudinal or compressional – particles vibrate parallel to the direction the wave motion. Examples: sound waves, primary earthquake waves
Example Problem A sound wave has a frequency of 262 Hz and a wavelength of 1.29 m. • What is the speed of the wave? • How long will it take the wave to travel the length of a football field (91.4m)? • What is the period of the wave?
Homework • Page 335 #1-7
Wave Behavior When waves interact with boundaries they can: • Reflect • Refract • Diffract • Interfere
Reflection • Is when a wave bounces back off a boundary or barrier
Parts of Reflection • Normal – the imaginary line perpendicular to the barrier at the point of reflection • Angle of incidence – angle between the incident ray and the normal • Angle of reflection – angle between the normal and the reflected ray
Parts of reflection continued: • Law of Reflection – for a smooth surface, the angle of incidence equal the angle of reflection
Refraction • Bending of a wave at the boundary between two media as the wave moves from one medium to another, velocity and wavelength change, but period and frequency remain constant
Diffraction • Waves moving around a barrier. • Examples: sunset, mirage • http://micro.magnet.fsu.edu/primer/java/scienceopticsu/diffraction/basicdiffraction
Interference • The superposition of waves, waves pass through each other unchanged, it is only a displacement of matter
Constructive Interference • When two waves combine to produce a wave with a larger amplitude, the meet crest to crest
Destructive Interference • When two waves combine to produce a wave with a smaller amplitude, they meet crest to trough
Standing Waves • When two waves meet with equal and opposite amplitudes • Parts of a standing wave: node and antinode • Node is the area of no apparent motion • Antinode is the area of maximum displacement
http://www.colorado.edu/physics/phet/simulations/stringwave/stringWave.swfhttp://www.colorado.edu/physics/phet/simulations/stringwave/stringWave.swf
Homework • Page 337 #8-10 • Review problems page 346 #32-47