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183_notes:curving_motion [2014/09/24 17:40] – [A change in direction] caballero | 183_notes:curving_motion [2014/09/24 18:02] – [Relationship to the tangential and centripetal accelerations] caballero | ||
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$$\vec{F}_{net, | $$\vec{F}_{net, | ||
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+ | ==== Relationship to the tangential and centripetal accelerations ==== | ||
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+ | In your previous studies, you might come acres the [[http:// | ||
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+ | $$\vec{F}_{net} = \vec{F}_{\parallel} + \vec{F}_{\perp}$$ | ||
+ | $$\vec{F}_{\parallel} | ||
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+ | The direction of each of these accelerations is the same as their corresponding forces. The tangential acceleration is tangent to the path, and this points in the $\hat{p}$ direction. The centripetal acceleration is perpendicular to the path and points in the $\hat{n}$ direction. You can use the magnitudes of each force component to determine formulae for the accelerations. | ||
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+ | $$F_{\parallel} | ||
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+ | The tangential acceleration tells you how the speed of the object changes, just as the parallel component of the net force is responsible for this speeding up and slowing down. | ||
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+ | $$F_{\perp} | ||
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+ | The centripetal acceleration tells you how the direction of the object' | ||
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