Answer
The distance between the wrist pin and the connecting center is 38.3 cm
Work Step by Step
Let $w = 11.2~cm$
Let $c = 28.6~cm$
The three points P, C, and W form a triangle. We can use the law of sines to find the angle W:
$\frac{c}{sin~C} = \frac{w}{sin~W}$
$sin~W = \frac{w~sin~C}{c}$
$W = arcsin(\frac{w~sin~C}{c})$
$W = arcsin(\frac{(11.2)~sin~25.5^{\circ}}{28.6})$
$W = arcsin(0.16859)$
$W = 9.7^{\circ}$
We can find the angle P:
$C+W+P = 180^{\circ}$
$P = 180^{\circ} - C - W$
$P = 180^{\circ} - 25.5^{\circ} - 9.7^{\circ}$
$P = 144.8^{\circ}$
We can use the law of sines to find p, which is the distance between the wrist pin and the connecting center:
$\frac{p}{sin~P} = \frac{c}{sin~C}$
$p = \frac{c~sin~P}{sin~C}$
$p = \frac{(28.6~cm)~sin~144.8^{\circ}}{sin~25.5^{\circ}}$
$p = 38.3~cm$
The distance between the wrist pin and the connecting center is 38.3 cm
