Physics Lab
Physics Lab
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Circular Motion & Centripetal Acceleration

So far we've learned about the motion of objects that move left and right, up and down, and anything in between. But what about things that move around in a circle? Think of a car driving around a circular race track, a person riding on a carousel or a Ferris wheel, the moon orbiting the Earth or the planets orbiting the sun (most orbits follow an ellipse, but we'll treat them as circles for now).

Technically, circular motion would be considered 2D motion. But in this lesson, we're going to describe how an object moves around the circumference of a circle. Instead of describing the x and y motion of the object, imagine we take the x axis and we wrap it around in a circle. The object can only move clockwise and counterclockwise, so we only need one number to describe its position along that path.

Once we understand how to describe position, we'll learn about displacement, tangential velocity and tangential acceleration. We call this the tangential description of motion because the object's instantaneous motion points in a direction that is tangent to the circular path.

We'll also talk about uniform circular motion where an object travels in a circle at a constant speed due to a centripetal acceleration. Centripetal force will be covered next.

We'll learn about rotational motion later in the course, and we'll explain how to convert between circular and rotational motion.

Circular Motion: Using the Tangential Description of Motion (19:03)
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What is circular motion?

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Linear motion review

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Position and displacement

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Tangential velocity

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Tangential acceleration

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Summary

Study guide for circular motion kinematic equations and variables
Study guide for uniform circular motion, frequency and period
Study guide for centripetal acceleration variables, equations and vectors
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Circular Motion Example Problems (18:10)
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Problem 1: Displacement

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Problem 2: Tangential velocity

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Problem 3: Tangential acceleration

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Problem 4: Constant acceleration equation 1

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Problem 5: Constant acceleration equation 2

Tangential Position and Displacement
Tangential Velocity
Tangential Acceleration
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Answers

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Free-Response Questions

Circular motion

  • 2024 Q1 - - Block sliding on a track with loops, forces, FBDs, circular motion, energy
  • 2023 Q3 - - Block and spring rotating about axle, circular motion, centripetal force, FBDs
  • 2018 Q1 - - Spacecraft in circular orbit, circular motion, forces, FBDs, law of gravitation

So far we've learned about the motion of objects that move left and right, up and down, and anything in between. But what about things that move around in a circle? Think of a car driving around a circular race track, a person riding on a carousel or a Ferris wheel, the moon orbiting the Earth or the planets orbiting the sun (most orbits follow an ellipse, but we'll treat them as circles for now).

Technically, circular motion would be considered 2D motion. But in this lesson, we're going to describe how an object moves around the circumference of a circle. Instead of describing the x and y motion of the object, imagine we take the x axis and we wrap it around in a circle. The object can only move clockwise and counterclockwise, so we only need one number to describe its position along that path.

Once we understand how to describe position, we'll learn about displacement, tangential velocity and tangential acceleration. We call this the tangential description of motion because the object's instantaneous motion points in a direction that is tangent to the circular path.

We'll also talk about uniform circular motion where an object travels in a circle at a constant speed due to a centripetal acceleration. Centripetal force will be covered next.

We'll learn about rotational motion later in the course, and we'll explain how to convert between circular and rotational motion.

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