Learning Target 1: Describe the difference between mechanical and EM waves. Define and differentiate between transverse and longitudinal waves. MECHANICAL WAVES Must have a __________ and a __________ to transport _______ from one location to another EXAMPLES: sound waves, slinky waves, water waves, stadium waves, guitar strings, vocal cords ELECTROMAGNETIC WAVES Doesn’t need a medium to transport energy Can travel through a _______ in empty space EXAMPLES: light waves – radio, TV, microwaves TWO TYPES OF WAVES Longitudinal: Particles move __________ to the direction of wave motion. Transverse: m Particles move ___________ to the direction of wave motion Learning Target 2: Describe the characteristics of a wave (velocity, frequency, wavelength, amplitude, and time period). PARTS OF A WAVE Transverse Wave Crest: points on the wave corresponding to maximum ___________ displacement Trough: points on the wave corresponding to maximum ___________ displacement Wavelength ( ): __________ over which a wave repeats, in meters / the distance from one crest to the next, or from one trough to the next Amplitude ( ): vertical distance from _______________to crest or from equilibrium to trough, in meters (energy of the waves) Longitudinal Wave Compression: correspond to _______________ pressure or density Rarefaction: correspond to _______________ pressure or density A FEW OTHER DEFINITIONS Wavelength ( ): The __________ a wave moves in 1 complete wave cycle, in __________. Frequency ( ): How _________ a wave moves up and down. The number of wave oscillations per second. Measured in (# cycles)/second or 1/s or ________________. Period ( ): The __________ for a wave to make 1 complete wave cycle (oscillation). Measured in ___________________. Learning Target 3: Explain the relationship between velocity, frequency, wavelength, and time period. Relate a wave’s speed to the medium in which it travels. The Wave Equation: (m/s) = (m) x (1/s) Wave speed depends on the _____________! *Same medium = Same speed * EXAMPLE: Same air temperature / kind of slinky / depth of water Same speed! See simulation to observe different medium, different speed: http://phet.colorado.edu/en/simulation/wave-on-a-string SPEED OF A WAVE: How are frequency and wavelength related? They are ______________ of each other. http://ngsir.netfirms.com/englishhtm/TwaveA.htm ___________ depends on the source. If _________ changes, the _______ changes so _____ has to change as well. For a given medium, if frequency increases then wavelength decreases (and vice versa). In 1 second of time: * Large_____,small _____ v _______ * Small _______large _____ v_________ STANDING WAVES: Formed when a string is clamped at both ends. As a _________ (a single disturbance) reaches one end, it gets _____________ back. If you keep sending those pulses, you get a wave that appears to ______________________! Parts to Label: Nodes Antinodes http://www.youtube.com/watch?v=NpEevfOU4Z8&feature=related http://www.youtube.com/watch?v=no7ZPPqtZEg&feature=related Learning Target 4: Calculate the relationship between velocity, frequency, wavelength, and time period. EXAMPLES: 1) The water waves below are traveling with a speed of 2.5 m/s and splashing periodically against Wibert’s perch. Each crest is 5 meters apart and splashes Wilber’s feet upon reaching his perch. How much time passes between each successive drenching? 2) What is the wavelength of the radio waves broadcasting a station at 107.5 MHz if radio waves travel at 3.0 x 108 m/s? 3) What is the speed of waves in a ripple tank if it is 20 cm from crest to crest and if two waves pass a given location every 3 seconds? MECHANICAL WAVES Must have a disturbance and a medium to transport energy from one location to another EXAMPLES: sound waves, slinky waves, water waves, stadium waves, guitar strings, vocal cords ELECTROMAGNETIC WAVES Doesn’t need a medium to transport energy Can travel through a vacuum in empty space EXAMPLES: light waves – radio, TV, microwaves TWO TYPES OF WAVES Longitudinal: Transverse: Particles move parallel to the direction of wave motion. PARTS OF A WAVE Transverse Wave m crest A troug h Crest: points on the wave corresponding to maximum upward displacement Trough: points on the wave corresponding to maximum downward displacement Wavelength ( ): Distance over which a wave repeats, in meters / the distance from one crest to the next, or from one trough to the next Amplitude ( A ): vertical distance from equilibrium to crest or from equilibrium to trough, in meters Longitudinal Wave Particles move perpendicular to the direction of wave motion Compression: correspond to maximum pressure or density Rarefaction: correspond to minimum pressure or density A FEW OTHER DEFINITIONS Wavelength ( ): The distance a wave moves in 1 complete wave cycle, in meters. f Frequency ( f ): How fast a wave moves up and down. Measured in (# cycles)/second or 1/s or Hertz. Period ( T ): The time for a wave to make 1 complete wave cycle. Measured in seconds per cycle f T #sec onds cycle 1 T SPEED OF A WAVE: How are frequency and wavelength related? They are inverses of each other. v f # cycles sec ond Wave speed depends on the MEDIUM! *Same medium = Same speed (m/s) = (m) x (1/s) * EXAMPLE: Same air temperature / kind of slinky / depth of water Same speed! f depends on the source. If medium changes, the v changes so has to change as well. For a given medium, if frequency increases then wavelength decreases (and vice versa). In 1 second of time: * Large , small f, v same * Small , large f, v same STANDING WAVES: Formed when a string is clamped at both ends. As a pulse (a single disturbance) reaches one end, it gets reflected back. If you keep sending those pulses, you get a wave that appears to stand still! Parts to Label: Nodes antinodes Antinodes antinodes nodes EXAMPLES: 1) The water waves below are traveling with a speed of 2.5 m/s and splashing periodically against Wibert’s perch. Each crest is 5 meters apart and splashes Wilber’s feet upon reaching his perch. How much time passes between each successive drenching? 2) What is the wavelength of the radio waves broadcasting a station at 107.5 MHz if radio waves travel at 3.0 x 108 m/s? 3) What is the speed of waves in a ripple tank if it is 20 cm from crest to crest and if two waves pass a given location every 3 seconds?