Measure period
Use crossings with matching direction and divide elapsed time by cycle count.
AP Physics 1 · Unit 7 · Oscillations
Period of a Mass on a Spring
Measure complete cycles, vary mass, stiffness and amplitude, run two setups together, and calculate mass for a requested period.
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Learn by doing
Three ideas you’ll put into motion
Compare controlled trials
Change one physical parameter and retain actual measurements.
Calculate a required mass
Use the period equation to calculate mass and select a multiple-choice answer.
The big idea
The key ideas, at a glance.
Restoring acceleration sets the period
a = −(k/m)x gives ω² = k/m and T = 2π√(m/k).
Amplitude changes energy
Ideal spring period is independent of amplitude even though energy and maximum speed change.
A quick comparison
Increase mass by a factor of four at fixed spring stiffness.
The period doubles.
Teaching this topic?Classroom fit, AP connections, and support
- Classroom fit
- Use for a concept introduction, guided independent practice, or a projected class discussion.
- Before students begin
- Newton’s second law, Hooke’s law and cycle measurement.
- Built-in support
- Prepared scenes, guided prompts, and feedback on lesson questions.
- AP Physics 1 connections
- Unit 7: spring oscillation period and proportional reasoning.
- Check for understanding
- Ask for simultaneous mass and stiffness changes that preserve a measured period.
Ready to test your thinking?
The first scene is set up. Start the lesson and explore.