# Circular Motion

Student Learning Objectives
Lessons / Lecture Notes
Important Equations
Example Problems
Applets and Animations

Student Learning Objectives

• To understand the basic ideas of circular motion.
• To understand the concept of acceleration in circular motion
• To solve quantitative kinematics problems involving circular motion and to interpret the results.
• To apply Newton's laws in the context of circular motion

Lessons / Lecture Notes

The Physics Classroom (conceptual)

PY105 Notes from Boston University (algebra-based):

Introductory physics notes from University of Winnipeg (algebra-based):

HyperPhysics (calculus-based)

PHY2048 notes from Florida Atlantic University (calculus-based):

PHY2043 notes from Florida Atlantic University (calculus-based)

Important Equations

Example Problems

Problem 1
A 2155 kg demolition ball swings at the end of a 17.5 m cable on the arc of a vertical circle. At the lowest point of the swing, the ball is moving at 8.6 m/s. Determine the tension in the cable at the lowest point. (Solutions)

Problem 2
A motorcycle is traveling up one side of a hill and down the other side. The crest is a circular arc with a radius of 45.0 m. Determine the maximum speed that the cycle can have while moving over the crest without losing contact. (Solutions)

Applets and Animations

 Motion in 2D Try the new "Ladybug Motion 2D" simulation for the latest updated version. Learn about position, velocity, and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle). Lady Bug Motion 2D Learn about position, velocity and acceleration vectors. Move the ladybug by setting the position, velocity or acceleration, and see how the vectors change. Choose linear, circular or elliptical motion, and record and playback the motion to analyze the behavior. Mass Moving in a Vertical Circle A mass is in circular motion in the vertical plane. We show the weight and force exerted by the tension in the string. Circular Motion This Java applet simulates such a circular motion and demonstrates how position, velocity, acceleration and acting force vary in time. The "Reset" button brings the rotating body in its initial position. You can start or stop and continue the simulation with the other button.