Objects moving at a constant speed around a circle are said to be in uniform circular motion. There are specific properties that cause an object to be in uniform circular motion that we can define and measure: centripetal force, centripetal acceleration, and tangential velocity. I also give other definitions in this video that can help calculate missing information. Many objects exhibit circular motion (in space, essentially all objects do) and the topic can be very intuitive if you can understand it in terms of geometry.

Calculus proof of centripetal acceleration formula: [ Ссылка ]

0:00 The Two Requirements for Circular Motion
1:31 Circular Motion Essential Vocabulary
2:25 Centripetal Force is NOT a Type of Force
3:01 Why Does Acceleration Point to the Center?
4:02 Definition of Period and Frequency
5:54 Angular Velocity vs. Tangential Velocity
7:56 Equation for Tangential Velocity
8:43 Equation for Angular Velocity
9:14 Equation Comparing Tangential and Angular Velocity
9:29 Equation for Centripetal Acceleration
9:49 Equation for Centripetal Force
10:05 Summary of Vocab
10:20 Example Problem 1
12:19 Example Problem 2

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