Question

9. What should be the ratio of area of cross section of
the master cylinder and wheel cylinder of a hydraulic
brake so that a force of 15 N can be obtained at each
of its brake shoe by exerting a force of 0-5 N on the
pedal?​

Answer 1

Consider thew ratio of cross-section of the master cylinder and wheel cylinder be X

1

:X

2

Let the force applied on pedal be F

1

=0.5N

And the force applied on brake shoe

We know from the hydraulic machine,

Pressure on narrow piston = pressure on broader piston

x

1

f

1

=

x

2

f

2

⇒

f

2

f

1

=

x

2

x

1

⇒

X

2

X

1

=

15

0.5

⇒

X

2

X

1

=1/30

⇒ Hence, the ratio is 1:30