Torque and Rotational Motion

Joseph Brown
8 min read
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Study Guide Overview
This study guide covers rotational motion in AP Physics 1, including: rotational kinematics (angular displacement, velocity, and acceleration), torque and angular acceleration (Newton's 2nd Law for Rotation, moment of inertia), angular momentum and its conservation, and how these concepts relate to linear motion. It also provides key equations, common question types, and exam tips.
#AP Physics 1: Rotational Motion - The Night Before 🚀
Hey! Let's get you prepped for the exam with a super-focused review of rotational motion. This unit is all about applying what you already know about linear motion to things that spin. You got this!
#🔄 Introduction to Rotational Motion
#Why Rotational Motion Matters
- Real-World Relevance: Think wheels, gears, and planets – rotation is everywhere! This unit connects directly to Big Ideas 3, 4, and 5 from the AP curriculum.
- Exam Weight: Expect ~10-16% of the exam to cover these topics. It's worth your time!
- Building on the Basics: We're taking familiar concepts like force, velocity, and energy and applying them to a rotational context.
#Key Concepts Overview
- Angular Displacement (): How much something has rotated (in radians).
- Angular Velocity (): How fast something is rotating (rad/s).
- Angular Acceleration (): How quickly the rotation is changing (rad/s²).
- Period (T): The time it takes for one full rotation.
- Torque (): The rotational equivalent of force (N·m or J).
- Moment of Inertia (I): Resistance to rotational motion (kg·m²).
- Rotational Kinetic Energy (Krot): Energy of rotation (J).
- Angular Momentum (L): Measure of rotational motion (kg·m²/s).
#Key Equations (Don't Panic!)
# 7.1 Rotational Kinematics
#The Basics
- What It Is: The study of how things rotate, without worrying about why they rotate.
- Analogy: Like linear kinematics, but with angles instead of distances.
#Key Quantities
- Angular Displacement ():
- Change in angular position, measured in radians.
- , where s is arc length and r is the radius.
- Angular Velocity ():
- Rate of change of angular displacement (rad/s).
- , where v is linear velocity.
- Angular Acceleration ():
- Rate of ...

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