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Bibliografiset tiedot
Päätekijä: Lin, Chris L.
Aineistotyyppi: Preprint
Julkaistu: 2019
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Linkit:https://arxiv.org/abs/1908.08038
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_version_ 1866918044710731776
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