Ch 16: Waves & SoundSee 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

The Mathematical Description of a Wave

See all sections
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: The Mathematical Description Of A Wave

Example #1: Graphs Of Mathematical Representation of Wave

Practice: Write the mathematical representation of the wave graphed in the following two figures.

Concept #2: Phase Angle

Practice: A transverse wave is represented by the following function: 𝑦 = (18 π‘π‘š) sin [2πœ‹ ( π‘₯ 2 π‘π‘š βˆ’ 𝑑 5 𝑠 + 1 4 )]. What is the phase angle of this wave?

Concept #3: Velocity Of A Wave

Practice: The function for some transverse wave is 𝑦 = (0.5 π‘š) sin [(0.8 π‘šβˆ’1 )π‘₯ βˆ’ 2πœ‹(50 𝐻𝑧)𝑑 + πœ‹ 3 ]. What is the transverse velocity at 𝑑 = 2𝑠, π‘₯ = 7 π‘π‘š? What is the maximum transverse speed? The maximum transverse acceleration?