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Impulse
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and
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Time-Averaged Force 
Impulse and force are closely related. In fact, if a time interval of interest is specified, the impulse imparted by a specific force during that interval can be used to quickly estimate the time-average of that force. The mathematical definition of the time-average of a force is:
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Force [!copyright and waiver^SectionEdit.png!|Momentum (Average Force)] [Impulse|impulse] and [force] are closely related. In fact, if a time interval of interest is specified, the [impulse] imparted by a specific [force] during that interval can be used to quickly estimate the time-average of that [force]. The mathematical definition of the time-average of a force is: {latex}\begin{large}\[ \langle\vec{F}\rangle_{t} \equiv \frac{\int_{t_{i}}^{t_{f}}\vec{F}\:dt}{t_{f}-t_{i}} \]\end{large}{latex} |
Using
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the
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definition
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of
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,
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this
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expression
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can
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be
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written:
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}\begin{large}\[ \langle\vec{F}\rangle_{t} = \frac{\vec{J}}{t_{f}-t_{i}}\]\end{large}{latex} {panel:bgColor=#F0F0FF}!images^SAP.gif! *[Watch Your Head]* ({excerpt-include:Watch Your Head|nopanel=true}){panel} |
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