Question

Suppose that a driver applies a force of 140 N to the master cylinder, which has a diameter equal to 14 the diameter of the brake cylinder. What is the force applied by the brake cylinder on the brake shoe?

Answer 1

force on brake shoes is 10 N

Step-by-step explanation:

for the master cylinder;

force applied = 140 N

diameter = 14d

for brake cylinder;

force applied on the brake shoe by the brake cylinder f = ?

diameter = d

The pressure will be transmitted undiminished from the master cylinder to the brake cylinder according to pascals pressure law.

pressure = force/area

but cross sectional area is proportional to diameter of the cylinder

therefore

`(140)/(14d ) = (f)/(d )`

the diameters will cancel out, and we're left with

force on brake shoes = 10 N