Waves and Sound in Life Sciences PDF
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Menoufia National University
Dr. Adel Morad
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This document provides a detailed explanation of waves and sound in life sciences. It covers different types of waves, their properties, and examples. The content is suitable for an undergraduate-level study.
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MECHANICS BY DR. ADEL MORAD Wave A disturbance that propagates and transfers energy in the direction of propagation through matter or space. Most waves move through a matter called a medium. Ø Ex. Waves traveling through water. Ø Wave motion: it is a periodic motion produced as...
MECHANICS BY DR. ADEL MORAD Wave A disturbance that propagates and transfers energy in the direction of propagation through matter or space. Most waves move through a matter called a medium. Ø Ex. Waves traveling through water. Ø Wave motion: it is a periodic motion produced as a result as the vibration of the medium particles at a certain moment and in a definite direction. TYPES OF WAVES Waves are classified into different types according to their natures : WAVES Mechanical waves Electromagnetic waves Transverse waves Longitudinal waves Transverse waves TYPES OF WAVES TYPES OF WAVES Mechanical Electromagnetic e.g. Water waves, seismic waves, e.g. Radio, X-Rays, Light waves on a rope, sound (waves caused by the disturbance in electric and magnetic fields ) Must have a substance to travel Do not need a substance to travel through through Cannot travel in a vacuum Can travel in a vacuum Vibrations passed on from Travel at very fast speed in a molecule to molecule vacuum: 3 × 108 m/s Waves can be transverse, Waves will only be transverse longitudinal , or surface waves What do Waves Do? When waves travel through media, they are doing work (energy transferred). Ex. Sound traveling in your ear causes vibrates throughout your ear Pascal’s Law 𝐹"#$ = &'() 𝐹,- &*+ (Tympanic Membrane) What do Waves Do? Ex. Shock waves move the earth during an earthquake. Ex. Tsunami waves move anything in their path How a Wave Travels As wave travels in air, the waves spread out in spheres the sphere will get bigger and bigger as they move farther away Wave Vibration Types 1. Transverse Waves: Particles move perpendicular to the motion of the wave (Light waves, a ripple on a pond) 2. Longitudinal Waves: Particles move parallel to the motion of the wave (Sound waves) Sine curve Energy transport 3. Standing Waves and Resonance Standing wave is a wave in which the amplitude at a given location does not vary with time. Standing Wave Features: Amplitude is zero at fixed ends Nodes (other places with zero amplitude) regions of no vibrations Anti-nodes (places with maximum amplitude) regions of maximum vibration Wave Diagram Wavelength Crest Amplitude Trough Wavelength Wave Properties/concepts 1. Wavelength λ -measures the size of the wave (distance between 2 successive crests/troughs or between the centers of 2 successive compressions /rarefaction) 2. Amplitude A: measures the intensity (strength) of the wave 3. Frequency f=v/ λ -The number of complete waves that achieved/produced from the source per second f=1/T (hertz (Hz) = beat/sec) -Your radio dials are in megahertz 4. Period (time) T=2π/ω, ω=2 π f -It is the time taken by a source to make a complete wave. T=1/f (seconds) 5. Wave Speed v: The distance covered by a wave in one second v=λ/T= λ f Frequency, wavelength, and Period Wavelength and period will increase when frequency decreases. λ ↓, T, ↓, then f ↑ Example A piano string vibrates with a frequency of 264 Hz. If the waves have a wavelength of 1.3 m, what is the speed of sound in air? Solution v= λ f speed= (1.30 m) (264 Hz) speed = 343 m/s Example A string with a wavelength of 1.30 m and a period of 0.00379 s is played. What is the speed of the wave? Solution v = λ/T speed=(1.30 m) / (0.00379 s) speed = 343 m/s Mechanical Wave Speed These waves travel fastest in solids and the slowest in gases ='>?@A) 𝑀𝑎𝑐ℎ number (Ma) = , s.t. 𝑣E"#-F = 343 m/s= 1,235 km/h, =B'(+C (kilometre in 2.9 seconds). sonic boom Regime Subsonic Transonic Speed of sound Supersonic Hypersonic Hypervelocity Mach 8.8