Explicit physics instruction
An oscillator repeatedly moves around an equilibrium position because a restoring influence points back toward equilibrium.
Simple harmonic motion is an ideal model where restoring force is proportional to displacement and opposite in direction. Real systems can include damping and nonlinear behavior.
Period T is time per cycle; frequency f is cycles per second, with f=1/T. Amplitude sets the maximum displacement from equilibrium.
Core relation: f=1/T; for ideal SHM, restoring force ∝ −displacement.
Worked example
An oscillator completes one cycle every 0.50 s, so f=1/0.50=2.0 Hz. Ten cycles would take about 5.0 s if the period remains constant.
Guided question
An oscillator makes 15 cycles in 6 s. Find frequency and period.
Independent work
- Solve three period/frequency or graph questions.
- Annotate one oscillation graph.
- State one ideal-model limitation.
Misconception check
Greater amplitude does not automatically mean greater frequency in the ideal small-amplitude SHM model.
Formative check
If T doubles, what happens to f?
Reveal response
Frequency halves because f=1/T.
Mentor evidence conference
Ask Archaemenes to audit cycle counting, graph phase, and ideal-model assumptions.
Teacher guidance
Foundation: Calculate T and f.
Core: Interpret SHM graphs and energy shifts.
Extended: Quantify damping or uncertainty from repeated trials.