Intro to waves & speed
Transcription
Intro to waves & speed
A WAVE IS A DISTURBANCE THAT CARRIES ENERGY THROUGH MATTER OR SPACE. Waves LONGITUDINAL WAVE - Particles vibrate parallel to the direction of the wave. LONGITUDINAL: Transverse & Longitudinal Wave Animation: Transverse: http://sites.google.com/site/physicsflash/home/transverse TRANSVERSE: Longitudinal: http://sites.google.com/site/physicsflash/home/sound TRANSVERSE WAVE - Particles vibrate perpendicular to the direction of the wave. Defining Terms •Amplitude (A): maximum displacement from equilibrium. •Period (T): time it takes to execute a complete cycle of motion •Frequency (f): number of cycles or vibrations per unit of time * Unit: Hz = sec-1 Defining Terms • Medium: material through which a disturbance travels. • Mechanical wave: a wave whose propagation requires a medium. • Non-mechanical wave: a wave whose propagation does not require a medium. 1 Defining Terms WAVE ANATOMY TRANSVERSE: LONGITUDINAL: Sound wave (LONGITUDINAL): Sound Waves • Mechanical Waves (require a medium) • Longitudinal waves • Formed by a series of compressions and rarefactions. Frequencies of Sounds Increasing Frequency • Wave Pulse: a single non-periodic disturbance. • Periodic wave: a wave whose source is some form of periodic motion. • Standing wave: wave pattern that results when two waves of the same f, , and A travel in opposite directions and interfere. Infrasonic Sound (elephants can hear) f < 20 Hz Audible Sounds (humans can hear) 20 – 20,000 Hz Ultrasonic Sound (dolphins can detect) f > 20,000 Hz 2 Pitch • How high or low we perceive a sound to be, depending on the frequency of the sound wave. • As the frequency of a sound increases, the pitch of that sound increases. Which graph represent the sound with the highest pitch? A C What is wrong with these graphs representing sound waves? Sound is longitudinal, not transverse. B C Ultrasound • Images produced by ultrasonic sound show more detail then those produced by lower frequencies. • Ultrasonic sound has many applications in the field of medicine. • Ultrasound images, such as the one shown here, are formed with reflected sound waves. Practice Amplitude • Draw a loud and high pitched wave. • The amplitude of a sound wave corresponds with how loud the sound is. – A large amplitude is a loud sound. – A small amplitude is a quiet sound. • Draw a loud and low pitched wave. • Draw a quiet sound wave with medium pitch Calculating Wave speed: x f t T – V = wave velocity • Where: – = wavelength (m) – f = frequency (Hz or sec-1) – T = Period (sec) f 1 T v f Sample Calculation 1 • A tuning fork produces a sound with a frequency of 256 Hz. The speed of sound in water is 1500 m/s. Calculate the wavelength produced by this tuning fork in water. Given: f = 256 Hz v = 1500 m/s =? v 1500m / s 256 sec 1 f = 5.9 m 3 Wave speeds • The speed of a wave depends on it’s medium. • For a wave on a string. The speed of the wave depends on – the tension in the string (F). – the linear density of the string (the mass of string per unit length) () mass(kg) length (m) F Example: A cord of mass 0.65 kg is stretched between two supports 8.0 m apart. If the tension in the cord is 120 N, how long will it take for a pulse to travel from one support to the other? m = 0.65 kg 0.65kg 0.08125 kg m 8.0m L = 8.0 m 120 N F = 120 N v F 38.43m / s 0.08125kg / m t=? d v t d 8.0m 8.0m 0.21sec 38.43m / s t v v Speed of sound depends on medium and temperature. Medium Gas: air (0oC) 331 Gas: air (25oC) Gas: air V (m/s) (100oC) 346 366 Liquid: water (25oC) 1490 Solid: copper (density = 8.96g/cm 3) 3560 Solid: aluminum 5100 (density = 2.70g/cm3) Source: Serway/Faughn, p. 461 (Table 14.1) To calculate the speed of sound through air at different temperatures… vsound (331m / s) T 273K 331 m/s is the speed of sound at 0oC T = temperature in Kelvin Remember: Kelvin = oC + 273 4