Can’t See It in the Textbook? A Circular Motion Tool That Makes Velocity and Acceleration Directions Instantly Clear

I’m Ken Kuwako, your Science Trainer. To me, every day is an experiment.

Think about the spinning teacups at an amusement park, the moon drifting through the night sky, or even your clothes tumbling in the washing machine. Our world is absolutely full of circular motion—things going round and round. However, as soon as we try to study this common movement in a physics classroom, it suddenly feels incredibly complicated, doesn’t it?

Angular velocity, frequency, periods… trying to grasp the essence of such dynamic movement using only the static diagrams and equations in a textbook is a tough challenge. To bridge that gap, I’ve developed a special teaching tool designed to unlock the mysteries of circular motion for students and teachers alike.

Why is Circular Motion So Hard to Teach?

When teaching “uniform circular motion,” the biggest hurdle for both teachers and students is visualization. Because the direction of travel is constantly changing, explaining the orientation of velocity and acceleration using only a chalkboard or verbal descriptions often leaves people feeling lost.

To solve this, I created a simulation that is simple yet hits all the essential points. First, take a look at this video to see it in action:

A System for Intuitively Understanding Vectors

With this tool, you can observe a ball moving in a circle in real-time. The key feature isn’t just the rotation—it’s the display of two crucial arrows that represent the physics at play.

The black arrow represents the ball’s velocity, which always points along the tangent of the circle. Meanwhile, the red arrow represents acceleration (centripetal force), which consistently points directly toward the center of the circle.

One of the biggest “stumbling blocks” in physics is the question: “If the speed is constant, why is there acceleration?” By using this simulator, you can see for yourself that because the direction is constantly changing, acceleration is occurring. It makes the abstract concept visually undeniable.

Features Designed for the Classroom

I specifically kept the design minimal to ensure it’s practical for actual lessons. Here are the main functions:

Speed Toggle: You can speed up the ball’s rotation with a single click. ・ Pause/Stop Button: Use the button in the bottom left to freeze the action instantly.

For example, when explaining angular velocity (ω), it is incredibly effective to stop the ball at a specific point and ask the students, “At this exact moment, which way is the ball trying to go?”

The Joy of Connecting the Scientific Dots

Mastering circular motion is a vital stepping stone toward understanding simple harmonic motion and the universal gravitation that governs the stars and planets. Seeing how an invisible “centripetal force” keeps an object tethered to its orbit helps us appreciate the hidden order of our universe.

I hope you find this tool useful in your daily studies or classroom lessons. Next time, I’m planning to take on the challenge of creating a tool for “simple harmonic motion,” which is closely related to this topic. Stay tuned!

Inquiries and Requests

Let’s make the wonders of science more accessible! I’ve put together a collection of fun experiments you can try at home and tips on how to make them work. Feel free to explore!

・ My “Science Notebook” content is now a book! Details here. ・ Learn more about Ken Kuwako here. ・ For various requests (writing, lectures, science workshops, TV supervision/appearances, etc.), click here. ・ Follow me on X (Twitter) for updates!

Check out my experiment videos on the Science Material Channel!