Average Impact Force Formula |
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\( \bar {F} \;=\; \dfrac{ \Delta p }{ \Delta t } \) (Average Impact Force) \( \Delta p \;=\;\bar {F} \cdot \Delta t \) \( \Delta t \;=\; \dfrac{ \Delta p }{ \bar {F} } \) |
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| Symbol | English | Metric |
| \( \bar {F} \) = Average Impact Force | \(lbf-ft\) | \(J\) |
| \( \Delta p \) = Change in Momentum | \(lbm-ft\;/\;sec\) | \(kg-m\;/\;s\) |
| \( \Delta t \) = Time Duration of Impact | \(sec\) | \(s\) |
Average impact force, abbreviated as \( \bar F \) or \(F_{avg}\), is the average force exerted on an object (or by an object) during the extremely short time interval of a collision or impact, such as when a baseball bat strikes a ball, a car crashes into a wall, or a hammer hits a nail. Unlike instantaneous force, which can vary dramatically throughout the brief duration of the impact (often reaching very high peak values), the average impact force is a single equivalent constant force that, if applied over the same duration of the collision, would produce the same change in momentum as the actual varying force did.
Average Impact Force Formula |
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\( \bar {F} \;=\; \dfrac{ KE }{ d } \) (Average Impact Force) \( KE \;=\; \bar F \cdot d \) \( d \;=\; \dfrac{ KE }{ \bar F } \) |
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| Symbol | English | Metric |
| \( \bar {F} \) = Average Impact Force | \(lbf-ft\) | \(J\) |
| \( KE \) = Kinetic Energy Just Before Impact | \( lbf-ft \) | \(J\) |
| \( d \) = Distance over which the Impact Occures | \(ft\) | \(m\) |
Average Impact Force Formula |
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\( \bar {F} \;=\; \dfrac{ m \cdot v^2 }{ 2 \cdot d } \) (Average Impact Force) \( m \;=\; \dfrac{ 2 \cdot d \cdot \bar {F} }{ v^2 } \) \( v \;=\; \sqrt{ \dfrac{ 2 \cdot d \cdot \bar {F} }{ m } } \) \( d \;=\; \dfrac{ m \cdot v^2 }{ 2 \cdot \bar {F} } \) |
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| Symbol | English | Metric |
| \( \bar {F} \) = Average Impact Force | \(lbf-ft\) | \(J\) |
| \( m \) = Object Mass | \(lbm\) | \(kg\) |
| \( v \) = Velocity Just Before Impact | \(ft\;/\;sec\) | \(m\;/\;s\) |
| \( d \) = Distance over which the Impact Occures | \(ft\) | \(m\) |