Time Scale for Velocity to Track a Force
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866918044710731776 |
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| author | Lin, Chris L. |
| author_facet | Lin, Chris L. |
| contents | In this paper we derive and discuss the time it takes for a force to turn a velocity. More precisely, we derive the formula for the time $τ$ it takes a constant force that makes an angle $α$ with the initial velocity $\vec{v}(0)$ to have $\vec{v}(τ)$ get within an angle $θ<α$ of the force. We then show how the addition of a viscous force decreases $τ$ logarithmically. The result can be generalized to any vector quantity whose first time derivative is a constant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1908_08038 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Time Scale for Velocity to Track a Force Lin, Chris L. Classical Physics Physics Education In this paper we derive and discuss the time it takes for a force to turn a velocity. More precisely, we derive the formula for the time $τ$ it takes a constant force that makes an angle $α$ with the initial velocity $\vec{v}(0)$ to have $\vec{v}(τ)$ get within an angle $θ<α$ of the force. We then show how the addition of a viscous force decreases $τ$ logarithmically. The result can be generalized to any vector quantity whose first time derivative is a constant. |
| title | Time Scale for Velocity to Track a Force |
| topic | Classical Physics Physics Education |
| url | https://arxiv.org/abs/1908.08038 |