Modeling the bounce of a gas-filled ball
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866915078945636352 |
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| author | Allen, Martin Allen, Bruce |
| author_facet | Allen, Martin Allen, Bruce |
| contents | The coefficient of restitution $ε$ characterizes the energy retained when a ball bounces, and can easily be measured in an ``at home'' experiment. For thin-walled gas-filled balls such as basketballs, we construct a simple two parameter model to describe how $ε$ changes as a function of the ball's internal pressure. A comparison with data shows good agreement. With additional assumptions, the model also predicts how $ε$ changes as a function of temperature. A comparison with tennis ball data shows surprisingly good agreement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2202_03034 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Modeling the bounce of a gas-filled ball Allen, Martin Allen, Bruce Physics Education The coefficient of restitution $ε$ characterizes the energy retained when a ball bounces, and can easily be measured in an ``at home'' experiment. For thin-walled gas-filled balls such as basketballs, we construct a simple two parameter model to describe how $ε$ changes as a function of the ball's internal pressure. A comparison with data shows good agreement. With additional assumptions, the model also predicts how $ε$ changes as a function of temperature. A comparison with tennis ball data shows surprisingly good agreement. |
| title | Modeling the bounce of a gas-filled ball |
| topic | Physics Education |
| url | https://arxiv.org/abs/2202.03034 |