Answer
Total force exerted by brake cylinders is 249.69 N
Explanation:
We have given that force [tex]F_1=38.7N[/tex]
And area of the cylinders [tex]A_1=7.61cm^2=7.61\times 10^{-4}m^2[/tex]
We have to find the total force
We have given total surface area [tex]A_2=49.1cm^2=49.1\times 10^{4}m^2[/tex]
From pascal's law we know that [tex]P_1=P_2[/tex]
And we know that [tex]P=\frac{F}{A}[/tex]
So [tex]\frac{F_1}{A_1}=\frac{F_2}{A_2}[/tex]
[tex]\frac{38.7}{7.61\times 10^{-4}}=\frac{F_2}{49.1\times 10^{-4}}[/tex]
[tex]F_2=249.69N[/tex]