Question

Common Data Questions:
A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involute teeth of a 2 mm module.

If the pressure angle of the rack is ${20}^o$, the force acting along the line of action between the rack and the gear teeth is

• A. 250 N
• B. 342 N
• C. 532 N
• D. 600 N

Answer 1

The correct option is C 532 N

$F_{l}cos\theta =F$

$F_l=\frac{F}{cos{20}^o}$

(pressure angle, $\theta =20$)

$F_l=532N$

POINT TO REMEMBER

In this problem, we have taken output power as $2T_2{\omega }_2$ because output power is transmitting the both gears.