Explicit physics instruction
This investigation tests angular-momentum conservation using supplied or simulated data.
Use a simulation/video dataset that changes mass distribution without unsafe spinning. Compare I, ω, and L before/after.
Preserve raw angular-speed and geometry/mass-distribution evidence before calculating L.
Core relation: L=Iω and ΔL=τ_extΔt.
Worked example
If L_before=7.8 and L_after=8.1 kg·m²/s, compare the 0.3 residual with measurement uncertainty before judging conservation.
Guided question
Which measurements are required to test Iω conservation?
Independent work
- Solve three angular-momentum or torque-time problems.
- Declare the system and external-torque assumption.
- Record one unit/assumption check.
Investigation / Data Lab
Use a simulation/video dataset that changes mass distribution without unsafe spinning. Compare I, ω, and L before/after.
Preserve raw data, calculated I/ω/L values, residuals, uncertainty, and one revision.
Misconception check
Conserved angular momentum does not mean angular speed is constant; I can change.
Formative check
If I is halved with L conserved, what happens to ω?
Reveal response
It doubles.
Mentor evidence conference
Ask Archaemenes to audit the system boundary, moment-of-inertia reasoning, and external-torque claim.
Teacher guidance
Foundation: Compute L=Iω.
Core: Solve conservation and torque-time changes.
Extended: Evaluate conservation residuals with uncertainty.