Question

A force of 38.7 N is applied to the master cylinder of a hydraulic brake system. The cylinder has an area of 7.61 cm^2. The force from the master cylinder is transferred, by brake fluid, to two brake cylinders that have a total area of 49.1 cm^2. How much total force is exerted by the brake cylinders?

Answer 1

Total force exerted by brake cylinders is 249.69 N

Step-by-step explanation:

We have given that force
`F_1=38.7N`

And area of the cylinders
`A_1=7.61cm^2=7.61* 10^(-4)m^2`

We have to find the total force

We have given total surface area
`A_2=49.1cm^2=49.1* 10^(4)m^2`

From pascal's law we know that
`P_1=P_2`

And we know that
`P=(F)/(A)`

So
`(F_1)/(A_1)=(F_2)/(A_2)`

`(38.7)/(7.61* 10^(-4))=(F_2)/(49.1* 10^(-4))`

`F_2=249.69N`