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Unit 2: Mechanical Model of Waves



Day
Monday, October 13
1
Focus Question(s):
  • How does the position of a vibrating mass fluctuate with time? Does the period of a vibrating mass change over time? Does the amplitude of a vibrating mass change over time? How does increasing mass affect the period of its vibrations?

Activities:
  • Lab WM2 - Vibrating Mass Lab (40 minutes)
  • Unit 1 Test (50 minutes)

Homework:   
  • Read Lesson 0a, 0b, and 0d of the Waves Chapter at The Physics Classroom

Help:




Day
Wednesday, October 15
2
Focus Question(s):
  • Where do we see waves?
  • How are vibrations related to waves?
  • What is a wave like? How would you describe it to a friend?
  • What are the various categories of waves? and how can such wave types be distringuished from one another?
  • What are the mathematical properties of waves?

Activities:
  • Post-lab Wiggles (WM1) and Vibrating Mass (WM2); review amplitude, period, and mass relationships; introduce inertia
  • Discussion: Where do we see waves?
  • Lecture: Vibrations to Waves - demos, 5 traits of all waves (Packet, p. 3)
  • Simulations - particle motion vs. wave motion; wave categories (Packet, complete pp. 3-4)
  • Properties of waves: period, frequency, wavelength, amplitude
  • Student Wave Machine with volunteers (if time allows)

Homework:   
  • Read Lesson 1 of the Waves Chapter at The Physics Classroom
  • MOP - Waves Module - do WM1
  • Complete Lab WM2

Help:




Day
Friday, October 17
--
Focus Question(s):
  • What types of things does an engineer do?
  • What considerations must an engineer have in order to create a high-quality, functional product?

Activities:
  • Special Guest - Dr. Mah ... speaking on engineering topics

Homework:   
  • Read Lesson 2 of the Waves Chapter at The Physics Classroom
  • MOP - Waves Module - do WM2


Help:



Day
Tuesday, October 21
3
Focus Question(s):
  • What are the mathematical properties of waves?
  • How can a standing wave pattern be used to represent a vibrating system and how can such a system be analyzed to determine the wavelength, amplitude, frequency, period and speed?
  • What types of variables affect the speed of a wave?

Activities:
  • Mathematical modeling of waves: wavelength, amplitude, frequency, period, speed; Desmos; the wave equation
  • Do pp. 5-6 of Packet; check with answer key
  • Discuss/demonstrate standing waves; nodes and antinodes; drawing and analyzing patterns; packet, pp. 9-10
  • Lab WM3 - Speed of a Wave
  • Slinky Simulation (pp. 7-8) on Chromebooks

Homework:   
  • MOP - Waves Module - do WM2, WM3, WM7, WM8
  • Read Lesson 2 and Lesson 4c-4e of the Waves Chapter at The Physics Classroom
  • Return E-book to bookstore


Help:



Day
Thursday, October 23
4
Focus Question(s):
  • What variables affect the speed of a wave?
  • What are the characteristic behaviors of waves?
  • How is a standing wave pattern formed?
  • How can we use a standing wave model to analyze a vibrational pattern within a medium?

Activities:
  • Warm-up:  Wave Speed (packet, p. 11, Q#1-6)
  • Practice with Wave Equation: p. 12, Q#7-10
  • Lecture demonstrations: free- and fixed-end reflection (p. 15, #1-2); boundary behavior (p. 16, #3-11); interference; Desmos modeling; Audacity demo; packet, pp. 13, #1-7; principle of superposition (pp. 13-14, #8-9)
  • Standing Wave Mathematics Review - WebAssign
  • Short Quiz on Waves

Homework:   
  • MOP - Waves Module - do WM5, WM6; to be collected next time
  • WebAssign - if not finished, complete WebAssign from class
  • Read Lesson 3a, 3c and study Lesson 4c-4e of the Waves Chapter at The Physics Classroom
  • Return E-book to bookstore

Help:



Day
Monday, October 27
5
Focus Question(s):
  • What is a sound wave and how is it created? 
  • What variables affect the observable properties (pitch and loudness) of a sound wave?
  • What variables affect the manner in which a sound wave is propagated?
  • What is the relationship between the frequency and the nodal spacing distance for a longitudinal standing wave pattern?
  • What is the deciBel scale?

Activities:
  • Collect MOP Codes (Waves) - chance 1 of 2
  • Lecture/demonstrations on Sound: mechanical, longitudinal, pressure wave that is created by vibrating object and propagated by particle-to-particle interaction; compressions, rarefactions, amplitude, frequency, speed (lots of 4-star demos)
  • Packet - pp. 17-18
  • Introduce deciBel Scale with Reading Passage; discuss Sci Reasoning
  • Lab WM4 - Vibrating Spring Lab - collect data/ begin analysis

Homework:   
  • Read Lesson 1 and  Lesson 2a-2b of the Sound Waves Chapter at The Physics Classroom
  • MOP - Sound and Music Module - do SM1, SM2
  • Return E-book to bookstore

Help:



Day
Wednesday, October 29
6
Focus Question(s):
  • How are the deciBel Scale and Intensity mathematically related?
  • What is the inverse square law of radiation and how can it be used to predict the intensity of a wave at a given location?
  • How can a standing wave model be used to analyze a vibrational pattern within a medium?
  • In what way can resonance be used to amplify the vibration of an object or medium?

Activities:
  • Collect MOP Codes (Waves) - last chance
  • Discuss deciBel scale (packet, p. 21); discuss I = P/(4•π•R2) equation (Q#4); discuss inverse square law (p. 22, Q#5-6)
  • WebAssign: Practice w/dB equation and inverse square law
  • Discuss natural frequency, forced vibration, resonance; 4-start demonstrations
  • Lab WM4 - Vibrating Spring Lab - continue data analysis

Homework:   
  • Complete Lab WM4; notebooks to be collected on Friday
  • Read Lesson 4 of the Sound Waves Chapter at The Physics Classroom
  • MOP - Sound and Music Module - do SM3, SM5
  • Return E-book to bookstore

Help:



Day
Friday, October 31
7
Focus Question(s):
  • How can a standing wave model be used to analyze a vibrational pattern within a medium?
  • In what way can resonance be used to amplify the vibration of an object or medium?

Activities:
  • Standing Waves in Strings: discuss v-f-wavelength-L-tension-m/L relationships; problem-solving schematic; packet, p. 23-24
  • Short Quiz
  • Resonance Demos; review
  • Lab Test: Guitar String
  • Collect lab notebooks


Homework:   
  • Read Lesson 5a-5b of the Sound Waves Chapter at The Physics Classroom
  • MOP - Sound and Music Module - do SM6
  • WebAssign - Resonating Strings 1


Help:




Day
Tuesday, November 4
8
Focus Question(s):
  • How can a standing wave model be used to analyze a vibrational pattern within a medium?
  • In what way can resonance be used to amplify the vibration of an object or medium?

Activities:
  • Review Strings - Packet, pp. 29-30, #1-6
  • More resonance/music demonstrations
  • Standing Waves in Air Columns: discuss v-f-wavelength-L-T relationships; problem-solving schematic; packet, p. 27-28
  • Lab WM6 - Closed End Air Columns


Homework:   
  • WebAssign - Resonating Strings 2
  • Read Lesson 5d of the Sound Waves Chapter at The Physics Classroom
  • MOP - Sound and Music Module - do SM10


Help:



Day
Thursday, November 6
9
Focus Question(s):
  • How can a standing wave model be used to analyze a vibrational pattern within a medium?
  • In what way can resonance be used to amplify the vibration of an object or medium?

Activities:
  • Review Closed-End Air Columns; Packet, pp. 30+, Q#7-10
  • More resonance/music demonstrations
  • Standing Waves in Air Columns: discuss v-f-wavelength-L-T relationships; problem-solving schematic; packet, p. 25-26
  • Lab WM7 - Open End Air Columns
  • Introduce Musical Instrument Project


Homework:   
  • WebAssign - Air Columns 1
  • Read Lesson 5c of the Sound Waves Chapter at The Physics Classroom
  • MOP - Sound and Music Module - do SM8


Help:



Day
Monday, November 10
10
Focus Question(s):
  • How can a standing wave model be used to analyze a vibrational pattern within a medium?
  • In what way can resonance be used to amplify the vibration of an object or medium?

Activities:
  • MOP Codes (Sound and Music) - 1st chance of 2
  • Review Open-End Air Columns; Packet, pp. 31+, Q#11-14
  • More resonance/music demonstrations
  • Musical Instrument Project - brainstorming stage
  • Discuss timbre; Desmos modeling of harmonic interference
  • Lab W9 - Timbre


Homework:   
  • WebAssign - Air Columns 2
  • Musical Instrument Project - brainstorm/decide on an idea (or two)

Help:





Day
Thursday, November 13
11
Focus Question(s):
  • How can a standing wave model be used to analyze a vibrational pattern within a medium?
  • In what way can resonance be used to amplify the vibration of an object or medium?

Activities:
  • MOP Codes (Sound and Music) - last chance
  • Musical Instrument Project - design stage
  • Discuss Helmholtz resonators
  • Lab W8 - Pop Bottle Challenge


Homework:   
  • Project - develop instrument design
  • Prepare for Unit 2 Test


Help:




Day
Monday, November 17
12
Focus Question(s):
  • To be announced

Activities:
  • Start Unit 3 - Kinematic Model of Motion
  • Unit 2 Test


Homework:   
  • To be announced


Help:
  • To be announced







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