Question

If you are designing a force multiplying system with two pneumatic cylinders. Your system should increase the force by a multiple of 4. What should you do? O decrease the area in the second cylinder O increase the area in the second cylinder

Answer 1

Answer:

decrease the area in the second cylinder

Explanation:

In a two-cylinders pneumatic system, the pressure exerted on the first cylinder is equal to the pressure on the second cylinder:

$p_1 = p_2$

We can rewrite the pressure as product between force (F) and area (A) of the cylinder:

$F_1 A_1 = F_2 A_2$

In this system, the output force should be 4 times the input force:

$F_2 = 4 F_1$

Substituting into the previous equation, we get:

$F_1 A_1 = 4 F_1 A_2\\A_2 = \frac{A_1}{4}$

This means that the area of the second cylinder must be 1/4 of the area of the first cylinder, so the correct answer is

decrease the area in the second cylinder