Linear acceleration of slider in the slider-crank mechanism may be expressed as:

(where, r = radius of the crank, l = length of the connecting rod and \(n = \frac{l}{r}\))

1
\(a = r{\omega ^2}\left[ {\cos \theta + \frac{{\sin 2\theta }}{n}} \right]\)
2
\(a = r{\omega ^2}\left[ {\cos \theta + \frac{{\cos 2\theta }}{n}} \right]\)
3
\(a = r{\omega ^2}\left[ {\sin \theta + \frac{{\sin 2\theta }}{n}} \right]\)
4
\(a = r{\omega }\left[ {\cos \theta + \frac{{\cos 2\theta }}{n}} \right]\)

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