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Simple Pendulum Equation – Frequency, Period, Velocity, Kinetic Energy – Harmonic Motion Physics



The Organic Chemistry Tutor

This physics video tutorial discusses the simple harmonic motion of a pendulum. It provides the equations that you need to calculate the period, frequency, and length of a pendulum on Earth, the Moon, or another planet. It shows you how to calculate the maximum velocity of the pendulum. This video contains plenty of examples and practice problems.

Here is a list of topics:
1. Simple Harmonic Motion – The Pendulum
2. Restoring Force Equation – Function of Sine & Angle Theta
3. Hooke’s Law of Restoring Forces F = KX
4. Period and Frequency Calculations – Cycles and Vibrations Per Unit Time
5. How To Calculate the Gravitational Acceleration of a Planet Using The Simple Pendulum Experiment
6. Maximum Velocity Calculations
7. Finding The Velocity Given Two Angles
8. Pendulum String Length Calculations
9. Angular Frequency and Acceleration
10. Conservation of Energy – Pendulums
11. Maximum Velocity vs Maximum Acceleration
12. Maximum Kinetic Energy vs Minimum Potential Energy
13. Mechanical Energy – Total Energy of System
14. Calculating The Angle as a Function of Time – Sine and Cosine Sinusoidal Functions – Describing the angular position Mathematically

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24 thoughts on “Simple Pendulum Equation – Frequency, Period, Velocity, Kinetic Energy – Harmonic Motion Physics
  1. Taking nothing for granted is key to teaching physics (or sciences in general), but so far you're only the second physics teacher I've had who actually puts this in practice.

  2. I have a question. I am doing a project on my physics class and we haven't gone to our pendulum unit yet, but can I use the pendulum solving process for building a trebuchet? Finding the KE, exit v of the projectile? Thank you

  3. Can you please solve this problem for me I will be grateful to you :
    The time periods of 2 simple pendula, having different lengths,is the same on two different planets . If the length of the two pendula are in ratio of 1:9,then the ratio of the acceleration due to gravity on the two planets is_____________.

  4. tbh his videos are very good and very comprehensive at the level of IB physics, but they are a bit slow. At least that's the way I felt. I think for some people this speed might work, for others not so much. I just skipped parts that were obvious to me or I found too slow and looked at what he wrote because he writes pretty much everything he says. Very well-explained and well-laid out video nonetheless.

  5. you are VERY GOOD at videos!!! this was a very informative video… So COMPLETE!! thank you…. all your videos are excellent.. THANKS FOR ALL YOU DO….

  6. Thank you for uploading this video and I really appreciate all your effort for making this video. Please keep on making such good educational videos. I hope that you keep on uploading more and more videos. Your videos really helps me a lot. Thank you so much!!!!! God bless you.

  7. Not too sure why you called the initial angle (14deg) Theta2 and the final angle (6deg) Theta1. Surely Theta 1 should be the initial angle (14deg) and the final angle be Theta 2 (6deg).

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