Question

In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If crank rotates with a uniform angular speed of 14 rad/s and the crank length is 300 mm, the maximum acceleration of the slider (in m/s${}^2$)is

• A. 117.6

Answer 1

The correct option is A 117.6
$a=r{\omega }^2[cos\theta +\frac{cos2\theta }{n}]$

at $\theta =0$

$a\Rightarrow a_{max}$

$a_{max}=r{\omega }^2[1+\frac{l}{r}]$

$n=\frac{1}{r}=1$

$a_{max}=2r{\omega }^2=2\times 0.3\times {14}^2$

$=117.6m/s^2$