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Classical mechanics (view source)
Revision as of 22:29, November 18, 2009
, 22:29, November 18, 2009Added DVAT equations. More to come. Put up "restructuring" banner
'''Classical mechanics''' refers to a branch of [[physics]] dealing with every-day laws of [[mechanics]] (as opposed to [[quantum mechanics]]). The term is interchangeable with "Newtonian physics", as it was [[Sir Isaac Newton]] who first proposed the first laws of motion. Classical mechanics is sufficient for explaining most observable phenomena.
'''Classical mechanics''' refers to a branch of [[physics]] dealing with every-day laws of [[mechanics]] (as opposed to [[quantum mechanics]]). The term is interchangeable with "Newtonian physics", as it was [[Sir Isaac Newton]] who first proposed the first laws of motion. Classical mechanics is sufficient for explaining most observable phenomena.
Classical mechanics only breaks down in extreme conditions, such as traveling close to the [[speed of light]], being near extremely high [[gravity]], or dealing with [[subatomic particle]]s. For example, the high speed correction is
==Limitations==
Classical mechanics only breaks down in extreme conditions, such as traveling close to the [[speed of light]], being near extremely high [[gravity]], or dealing with [[subatomic particle]]s. For example, [[special relativity]] gives the correction factor at high speeds as
where v is the velocity of an object and c is the speed of light. At 1000 miles per hour, the correction is .999999999999991
:γ=<math>\frac{1}{\sqrt{1-\frac{v^2}{c^2}}}</math>
where v is the velocity of an object and c is the speed of light. At 1000 miles per hour, the correction is .999999999999991.
{{Progress}}
==Distance, Velocity, Acceleration==
Velocity is defined as the [[derivative]] of position with respect to [[time]], or <math>v=\frac{dx}{dt}</math>. It therefore follows that, for motion at constant velocity, <tt>Δx=vt</tt>. Similarly, [[acceleration]] is defined as the derivative of velocity with respect to time, so <tt>Δv=at</tt>.
Putting these two equations together, we find that, for constant acceleration, <tt>Δx=v<sub>0</sub>t+0.5at<sup>2</sup></tt>.
In addition, <tt>Δx=vt</tt> is true for any average velocity. It therefore follows:
:<math>\frac{(v_f+v_0)}{2} t = \delta x</math>
:<math>(v_f+v_0)*a*t = 2*a*\delta x</math>
:<math>(v_f+v_0)*\delta v = 2*a*\delta x</math>
:<math>v_f^2-v_0^2 = 2*a*\delta x</math>
These, then, are the four basic kinematics equations:
:<tt>Δx=vt</tt>
:<tt>Δv=at</tt>
:<tt>Δx=v<sub>av</sub>t</tt>
:<math>v_f^2-v_0^2 = 2*a*\delta x</math>
==Newton's Three Laws==
==Angular Mechanics==
[[Category:Physics]]
[[Category:Physics]]