Lecture Hall Announcements and Logistics

  • The lecture hall is large, and items sometimes get left behind.

    • Mentioned rescued and collected items include earbuds, connectors, rings, etc.

Upcoming Test Information

  • Test Date: October 7

  • Class Schedule:

    • This session is before the class prior to the test, which is adjusted due to the National Day for Truth and Reconciliation.

Test Format

  • Structure: Two-stage test starting at 8 AM.

  • First part: 45-minute individual test.

  • Groups: After the individual test, self-assemble into groups of 3-4 for a group version of the test.

  • Variability: Multiple versions of tests to accommodate the large class size.

  • Content: Group test will combine elements from individual versions.

Study Resources and Practices

  • Best practice: Review previous tests from Physics 112 and past Physics 111 tests.

  • Resources:

    • Previous tests are a great way to prepare because they align closely with content covered.

  • Weekly Homework: Essential for practice, includes prior test questions and tutorial questions.

  • Due date for current week’s homework: Tomorrow by 9 PM.

  • Class engagement: Only 122 of 274 students have started the homework.

  • Average score trends:

    • Current week average: 43%.

    • Last week average: 92%.

    • Average completion time for current homework: 1 hour 21 minutes.

Test Preparation Strategies

  • Focus on conceptual understanding of material.

  • Tests will not repeat identical problems from class; students must apply knowledge to new scenarios.

  • Expect multiple-choice questions that reward correct reasoning steps.

    • Full marks for correct answers; partial marks for eliminating wrong options.

    • Up to four and a half out of five marks possible without a correct answer if logical reasoning is shown.

    • Objective: Correct understanding and process, not solely the right answer.

Format of Test Questions

  • Long answer questions include drawing graphs or diagrams from provided data.

  • Number of long answer questions may vary, usually at least one.

  • Time management: Instructor tests duration by solving the test themselves and multiplying their completion time by four to gauge student time.

  • Group test protocol: All students will form groups including those needing accommodations.

Physics Content Overview

  • Initiated discussion on uniform circular motion:

    • Angular velocity: Defined as the rate of change of the angle with respect to time.

    • Uniform Circular Motion: Characterized by constant angular velocity, defined as linear velocity divided by the radius of the circle.

    • Angular position remains consistent, with changes occurring in direction, not speed.

    • Acceleration in Circular Motion: Understood as centipetal or radial acceleration pointing towards the circle's center, even if speed remains constant.

    • Mathematical Relationships:

    • extLinearspeed=rimesextangularvelocityext{Linear speed} = r imes ext{angular velocity}

    • Magnitude of radial acceleration a<em>r=racv2ra<em>r = rac{v^2}{r} or a</em>r=rimesextangularvelocity2a</em>r = r imes ext{angular velocity}^2.

Example Problems

  • Problem 1: Fly on a record player.

    • Rates of acceleration for the fly as it moves outward depend on angular velocity.

    • As it walks outward, its radial acceleration increases proportionally with distance.

    • Proportional reasoning: arextisproportionaltora_r ext{ is proportional to } r.

  • Problem 2: Highway engineering considerations for a curve or ramp.

    • Radii and speed must be designed to accommodate safe navigation at appropriate speeds, considering friction and acceleration requirements.

    • Engineers must ensure enough acceleration can be maintained even on slippery days.

  • Problem 3: A roundabout scenario where acceleration changes as speed increases.

    • Quadratic relationship of acceleration based on speed.

    • The importance of understanding how acceleration varies with speed on a circle, emphasizing safety and design.

Conceptual Understanding and Reasoning

  • Emphasis on proportional reasoning to simplify problem calculations and avoid unnecessary complexity.

  • Explore direct and inverse proportionalities:

    • Directly proportional relationships yield straight-line graphs that pass through the origin, while inversely proportional relationships create hyperbolic graphs.

Clicker Questions

  • Incorporate discussions and practical examples to encourage student engagement and ensure understanding.

  • Real-time feedback on students’ comprehension through response rates.

Closing Remarks

  • The next class will cover material relevant for the upcoming test. Last questions are encouraged.

  • Items left in the hall should be claimed from the front desk.