Fidget Spinner Spin Time
Algebra
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Why fidget spinners slow down and eventually stop spinning
Introduction
When you spin a fidget spinner, it gradually slows down due to friction in the bearings and air resistance. The rate at which it slows follows an exponential decay pattern - similar to how hot coffee cools or how radioactive materials decay. High-quality spinners with better bearings spin longer because they have less friction and thus a slower decay rate. By measuring how a spinner's rotation speed decreases over time, you can determine its 'decay constant' and predict how long it will spin. This connects rotational motion with exponential models and real-world data collection.
Guiding Questions
- How can you measure the spinner's rotation rate over time?
- What pattern does the data follow when graphed?
- How do you fit an exponential decay curve to experimental data?
- What factors affect how quickly the spinner slows down?
- How does bearing quality relate to the decay constant?
Key Mathematical Concepts
Rotational Motion
Curve Fitting
Data Collection
Experimental Mathematics
Exponential Decay