Ch 16: Waves & SoundWorksheetSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics
What is a Wave?
The Mathematical Description of a Wave
Waves on a String
Wave Interference
Standing Waves
Sound Waves
Standing Sound Waves
Sound Intensity
The Doppler Effect

Concept #1: What Is A Wave?

Example #1: Properties of Waves from Graphs

Example #2: Distance Between Crests

Concept #2: Types of Waves

Practice: A satellite captures images of a tsunami, and properties of the tsunami can be found from these images, providing important information to people who need to evacuate coastal areas. If satellite images of a tsunami show the distance from one peak to another is 500 km, and the period is 1 hour, how much time do people have to evacuate if the tsunami is found to be 100 km off shore?

Additional Problems
A transverse wave propagates along the z-direction. At t = 0 s, the displacement in the y-direction is 2 cm. The displacement starts to decrease immediately after, and becomes zero for the first time at t = 0.24 s.  (a) What is the period of the wave? (b) What is the frequency of the wave? (c) If the wave travels 4 m along the z-direction in 0.24 s, what is the wavelength of the wave?
A wave travels 3 cm in the z-direction, while traveling a distance along the y-direction of 5 cm with no displacement. If the wave took 3.5 periods to travel these distances, with each period being 500 ms,  (a) What is the wavelength of this wave? (b) What is the frequency of this wave?
A string oscillates up and down sinusoidally. If it takes the string 0.5 s to oscillate from its highest point to its lowest point, (a) What is the period of the oscillation? (b) What is the frequency of the oscillation? (c) What is the angular frequency of the oscillation?
A transverse harmonic wave has wavelength of 2.6 m and propagates to the right with a speed of 14.3 m/s. The amplitude of the wave is 0.11 m, and its displacement at t = 0 and x = 0 is 0.11 m. a) What is the wavenumber, k, of this wave? b) What is the angular frequency of this wave? c) Write the equation for this wave.
A fisherman fishing from a pier observes that the float on his line bobs up and down, taking 2.4 s to move from its highest to its lowest point. He also estimates that the distance between adjacent wave crests is 48 m. What is the speed of the waves going past the pier? (A) 20 m/s (B) 1.0 m/s (C) 10 m/s (D) 5.0 m/s (E) 115 m/s
A group of swimmers is resting in the sun on an off-shore raft. They estimate that 2.79 m separate a trough and an adjacent crest of surface waves on the lake. They count 14 crests that pass by the raft in 20.7 s. How fast are the waves moving? A. 3.88251 B. 4.75641 C. 4.55385 D. 4.17228 E. 3.72 F. 3.77391 G. 5.43646 H. 4.01154 I. 3.30603 J. 5.30653
Crests of an ocean wave pass a pier every 10.0 s. If the waves are moving at 5.6 m/s., what is the wavelength of the ocean waves?A) 56 mB) 28 mC) 64 mD) 48 m