College Board-Aligned Original Notes
AP Physics 1: Algebra-Based Unit 7 Topic 2: Frequency and period of SHM
Frequency and period describe how quickly a simple harmonic oscillator repeats its motion.
Unit 7: Oscillations. College Board exam weighting listed for this unit: 5%-8% of multiple-choice exam score.
What to Know
- Period is the time for one complete cycle.
- Frequency is cycles per unit time and is the reciprocal of period.
- For ideal mass-spring systems and small-angle pendulums, period depends on system properties rather than amplitude.
- Always connect this topic back to the larger unit: Oscillations.
Detailed Notes
Frequency and period of SHM belongs to Unit 7: Oscillations. Frequency and period describe how quickly a simple harmonic oscillator repeats its motion. Start by naming the system, choosing axes or a sign convention when needed, and identifying which physical quantity is changing.
Key relationships: Period is the time for one complete cycle. Frequency is cycles per unit time and is the reciprocal of period. For ideal mass-spring systems and small-angle pendulums, period depends on system properties rather than amplitude.
Model to use: Count cycles on a position-time graph and calculate period and frequency from the time interval. A strong model should include labels, directions, units, and the reason each relationship applies.
AP-style move: Distinguish what changes during the motion from what sets the period for the oscillator model. For free-response work, write the principle first, show the setup, and then interpret the result in the physical context.
Key Vocabulary
Period
Time required for one complete cycle.
Frequency
Number of cycles per unit time.
Cycle
One full repetition of periodic motion.
Mass-spring oscillator
A system in which a mass oscillates due to a spring force.
Small-angle pendulum
A pendulum model that approximates simple harmonic motion for small displacements.
Quick Practice
How would you explain Frequency and period of SHM in one or two AP-style sentences?
Name the concept, apply it to a specific example or source, and explain the reasoning that connects the evidence to your answer.
Related Topics in This Unit
- Defining simple harmonic motion (SHM)
- Representing and analyzing SHM
- Energy of simple harmonic oscillators
Official Alignment
Reference and Attribution
AP Physics 1 concept reference: AP Physics 1: Concise Summary Notes by IITian Academy. EduCompanion used this source as a topic checklist and conceptual reference, then rewrote the study notes in original wording.