Flipping Physics
  • Home
  • Physics Videos
    • AP Physics 1 >
      • AP Physics 1 Review
      • AP Physics 1 Teachers
    • AP Physics 2
    • AP Physics C >
      • AP Physics C Review
      • AP Physics C Teachers
    • AP Physics C E&M
    • Vertical Videos
    • Playlists
  • URP
  • GIFs
    • Kinematics GIFs
    • Dynamics GIFs
    • Work Energy and Power GIFs
    • Momentum and Impulse GIFs
    • Rotational Kinematics GIFs
    • Rotational Dynamics GIFs
    • Universal Gravitation GIFs
    • Simple Harmonic Motion GIFs
    • Fluids GIFs
    • Waves GIFs
    • Sound GIFs
    • Electricity GIFs
  • About
    • Comments
    • Teacher Comments
    • Music
    • Flipping >
      • Gameful
      • Physics Labs
      • How to Flip
      • How to Learn
      • The Basics >
        • 8 Don'ts
        • 9 Dos
    • FAQ
    • Making a Video
    • EDpuzzle
    • Spreadsheets
    • Technology
    • Survivor Application
  • Give
  • Shop
  • Help Out
    • Quality Control
    • Collaborate
  • Blog

Simple Pendulum - Simple Harmonic Motion Derivation using Calculus (13:29)

Previous Video
Lecture Notes
Give
AP Physics C
Next Video
Calculus is used to derive the simple harmonic motion equations for a simple pendulum. Equations derived are position, velocity, and acceleration as a function of time, angular frequency, and period. This is an AP Physics C: Mechanics topic.

Content Times:
0:00 Simple Harmonic Motion Review
1:57 Simple Pendulum Definition
3:28 Pendulum Restoring Force
4:45 Net Tangential Force
5:47 Bringing in Arc Length
7:20 Small Angle Approximation
9:10 Solving for Angular Frequency
10:03 Solving for Period
10:32 Position, Velocity, and Acceleration
12:03 Angular Velocity and Angular Frequency in the same equation?
​
  • Thank you Mr. Lane and the rest of my wonderful Patreon supporters. Please consider supporting me monthly on Patreon!
  • Thank you to Julie Langenbruner and John Paul Nichols for being my Quality Control Team for this video.

                Copyright © 2013-2025 · All Rights Reserved · Flipping Physics