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

Answer

Total force exerted by brake cylinders is 249.69 N

Explanation:

We have given that force $F_1=38.7N$

And area of the cylinders $A_1=7.61cm^2=7.61\times 10^{-4}m^2$

We have to find the total force

We have given total surface area $A_2=49.1cm^2=49.1\times 10^{4}m^2$

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

And we know that $P=\frac{F}{A}$

So $\frac{F_1}{A_1}=\frac{F_2}{A_2}$

$\frac{38.7}{7.61\times 10^{-4}}=\frac{F_2}{49.1\times 10^{-4}}$

$F_2=249.69N$