# Teaching Materials/Cycloid calculus

Title | Cycloid Calculus |
---|---|

Description | By parametrizing the cycloid, we can deduce many of the physical properties that are apparent by watching a bicycle wheel. |

Concept | Photographs of moving bicycles sometimes show a nice picture of the spokes at the bottom with a blur of spokes at the top. By considering the elementary calculus of the cycloid, we can discover an explanation of this phenomenon. |

Goals | To introduce a parametrization of the cycloid and use it to determine the tangent vector to the curve at various points. |

Required Materials | |

Procedure | |

Other Notes |

#### Pages that Link Here