Circular Motion, Centripetal Acceleration, Vertical, Horizontal, Banked - Physics (Mechanics)

Circular motion is the movement of an object along a circular path at a constant radius from a central point. While the object's speed may be constant (uniform circular motion), its velocity is continuously changing because its direction is always changing. This continuous change in velocity means the object is accelerating, and a continuous, inward-pointing force called centripetal force is required to maintain the motion.

💡Key concepts
• Velocity vs. Speed: In circular motion, the speed (a scalar quantity) can be constant, but the velocity (a vector quantity) is always changing because its direction is constantly changing.
• Acceleration: Due to the change in velocity, the object is always accelerating. This acceleration, known as centripetal acceleration, is directed towards the center of the circle.
• Centripetal Force: This is the net force that causes the centripetal acceleration, constantly pulling the object toward the center of the circle. Examples include the force of gravity on a satellite or the friction on a car turning a corner.
• Tangential Velocity: The object's velocity is always tangent to the circular path at any given point.
• Period and Frequency: The period is the time it takes for the object to complete one full circle, while frequency is the number of circles completed per second. They are reciprocals of each other, such that Period \(=\frac{1}{\text{Frequency}}\).

💡Examples of circular motion
• A satellite orbiting the Earth
• The blades of a ceiling fan rotating
• A car driving around a curve
• A stone being swung around on a string
• The motion of a roller coaster on a circular track

💡Worksheets are provided in PDF format to further improve your understanding:
• Questions Worksheet: https://drive.google.com/file/d/1pD8nvbATuuSwvLF_nueB2KSc685rnQKr/view?usp=drive_link
• Answers: https://drive.google.com/file/d/1SYKZihxmNSOL5K4ZQI663PIthUBqC9hs/view?usp=drive_link

💡Chapters:
00:00 Uniform circular motion
02:16 Horizontal circular motion
03:57 Non-uniform circular motion
06:15 Vertical circular motion
07:50 Worked examples

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