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9702 · 12.1

Kinematics of uniform circular motion

Welcome to the exciting world of **uniform circular motion**! Ever wondered how roller coasters loop-the-loop or satellites stay in orbit? It all comes down to the physics of objects moving in circles. We'll explore key concepts like **angular displacement**, **angular velocity**, **centripetal acceleration**, and **centripetal force** that govern this fundamental type of movement. This pilot aligns with **Senpai Corner** A Level notes (2025–2027) for topic **12.1**.

Need to know

What you need to know

  • The angular displacement of a body is the change in angle (radians, degree or revolutions) through which the body rotates around a circle.
  • Angular displacement is the ratio of: 𝛥𝜃 = 𝛥𝑠 𝑟.
  • A radian (rad) is defined as the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle.
  • Radians is usually written in term of π.
  • For a rotation for a complete circle (360 0 ), the radians is 2 π ( 𝛥𝜃 = 2πr/r).

Explanation

Kinematics of uniform circular motion

  1. The angular displacement of a body is the change in angle (radians, degree or revolutions) through which the body rotates around a circle.
  2. Angular displacement is the ratio of: 𝛥𝜃 = 𝛥𝑠 𝑟.
  3. A radian (rad) is defined as the angle subtended at the centre of a circle by an arc equal in length to the radius of the circle.
  4. Radians is usually written in term of π.