### Notes:

The Vertical Circle Simulation is an adjustable-size file that displays nicely on tablets such as the iPad, on Chromebooks, and on laptops and desktops. The size of the Interactive can be scaled to fit the device that it is displayed on. The compatibility with iPads, other tablets, and Chromebooks make it a perfect tool for use in a 1:1 classroom. While the use of the Interactive on phones is possible, the high density of controls (sliders, buttons, etc.) does make its use of small screens a bit difficult. If using on a phone, we recommend viewing it in landscape (horizontal) mode.

### Teaching Ideas and Suggestions:

This Interactive is intended for use near the early to middle stages of a learning cycle on circular motion. The Interactive simulates four examples of an object moving in a vertical circle:
• The motion of a ball suspended from the end of a light string and whirled in a vertical circle
• The motion of a ball suspended from the end of a light, rigid rod and whirled in a vertical circle
• The motion of a ball moving along the inside wall of a vertical loop.
• The motion of a ball rolling down an incline into a vertical loop and continuing along the wall of the loop.
Users can easily toggle between the four instances of moving in a vertical circle and make comparisons between relationships, the direction of forces and accelerations, and the cause-effect relationship between variables. The simulation offers the option of viewing it from the side, from above, or from any angle in between. Force vectors (and their components) can be displayed. Acceleration vectors can be displayed as well. Several sliders allow the user to change the values for parameters associated with the motion and view the impact of such changes immediately. Finally, a numerical output display shows values of the most common motion quantities.

The provided exercise that accompanies this Interactive guides students towards an understanding of the forces and their components and the effect that changes in mass, speed and radius have upon other variables. Teachers are encouraged to use the exercise with their classes.

### Related Resources

There are numerous resources at The Physics Classroom website that serve as very complementary supports for the Vertical Circle Simulation. These include:
• Minds On Physics Internet Modules:
The Minds On Physics Internet Modules include a collection of interactive questioning modules that help learners assess their understanding of physics concepts and solidify those understandings by answering questions that require higher-order thinking. Assignments CG1, CG2, CG3, CG4 and CG5 of the Circular Motion and Gravitation module provide great complements to this Interactive. They are best used in the middle to later stages of the learning cycle. Visit the Minds On Physics Internet Modules.

• Curriculum/Practice: Several Concept Development worksheets at the Curriculum Corner will be very useful in assisting students in cultivating their understanding, most notably ...

Speed and Velocity
Acceleration and Circular Motion
Circular Motion and Inertia
The Centripetal Force Requirement
Mathematics of Circular Motion

Visit the Curriculum Corner.

• Labwork:
Simulations should always support (never supplant) hands-on learning. The Laboratory section of The Physics Classroom website includes several hands-on ideas that complement this Interactive. Two notable lab ideas include ...

Making the Turn Lab
Loop-the-Loop Lab

Visit The Laboratory.

• Science Reasoning Activities:
Science classrooms should be filled with reasoning activities. There is one related activity in the Circular Motion section of the Science Reasoning Center that will challenge students to employ close reading, data analysis, and logical reasoning. The activity is named ...

Roller Coaster Loops

Visit the Science Reasoning Center.

Additional resources and ideas for incorporating Vertical Circle Simulation into an instructional unit on circular motion can be found at the Teacher Toolkits section of The Physics Classroom website.  Visit Teacher Toolkits.

### Credits

We owe a special thanks to Physics teacher Martin Kirby for contributing this simulation to our Interactives collection. If you like this sim, you can tap on the Donate button and buy him a cup of coffee (or a pot of coffee); he'd appreciate it. Martin has contributed other simulations to our collection. They can be found at the following locations:

And you can find other great simulations like this one on Martin's website at https://sites.google.com/a/kirbyx.com/waveadd.

Visit: Interactive | Exercise