Rotational Kinematics

The second and third equations of motion are crucial in solving problems.
The last equation focuses on finding average velocity; however, it is not emphasized as much as the first three equations.
Emphasis is placed on understanding and applying the first three equations in various contexts.

Exchange linear terms for angular terms to derive angular formulas.
The process involves substituting keywords:
- Displacement (d) becomes Angular Displacement (θ)
- Time (t), Final Velocity (v), and Acceleration (a) change to Angular Velocity (ω), and Angular Acceleration (α) respectively.
Understanding this conversion is key for future problems, particularly for numbers 1-19.

Problem Statement: A tricycle wheel of radius 0.55 m accelerates at 1.2 rad/s² for 10.5 seconds. Find the wheel's final angular and linear velocity.
Equations Used:
- Angular Velocity: ( ω = ω_0 + αt )
- Linear Velocity: ( v = rω )
Calculations:
1. Apply the equation for angular velocity:
  - Here, initial angular velocity (ω0) = 0, α = 1.2 rad/s², and t = 10.5 s.
  - Calculation: ( ω = 0 + (1.2)(10.5) \approx 12.6 ) rad/s
2. Find Linear Velocity:
  - Calculation: ( v = 0.55 imes 12.6 \approx 6.9 ) m/s
Emphasizes the straightforwardness of these calculations.

Students are encouraged to attempt additional problems, such as finding angular displacement.
Given equation for displacement: ( θ = ω_0 t + \frac{1}{2}αt^2 )
Expected Outcome: Example value for angular displacement = 44.2 (units not specified).

An evaluation in the form of a quiz or test on rotational kinematics will be held, focuses on understanding key concepts covered in class.
Coordination of details regarding the test date is ongoing, but it is expected to take place on Monday, subject to confirmation during class review.
Students should come prepared and ready to practice before the assessment.