Question

In the cycloidal train shown in figure, the ring gear R is fixed, and the wheel S rotates at 300rpm in clockwise direction. The arm is connected to the output shaft, it speed is

• A. 300 rpm CW
• B. 100 rpm CW
• C. 300 rpm CCW
• D. 100 rpm CCW

Answer 1

The correct option is B 100 rpm CW

$\begin{array}{cccc}\text{Arm}& P& S& R\\ 0& +1& \frac{-T_P}{T_s}& \frac{+T_P}{T_R}\\ 0& +x& \frac{-T_P}{T_s}x& \frac{+T_P}{T_R}.x\\ y& y+z& y-0.5x& y+0.25x\end{array}$

$N_R=0{[}^{\prime }{R}^{\prime }isfixed]$

$\therefore y+0.25x=0$

$\Rightarrow y=-0.25x$

And $N_s=+300rpm$

$\therefore y-0.5x=300$

$\Rightarrow 0.25x-0.5x=300$

$\Rightarrow -0.75x=300$

$\Rightarrow x=-400$

$\therefore y=-0.25\times (-400)$

$y=100$

$\therefore$ Arm rotates 100 rpm CW