Answer:
F₁ = 10.64 N
Explanation:
The pressure is transmitted equally from the first piston to the second piston:
[tex]P_1=P_2\\\\\frac{F_1}{A_1}=\frac{F_2}{A_2}\\\\\frac{F_1}{\pi r_1^2}=\frac{F_2}{\pi r_2^2}\\\\\frac{F_1}{r_1^2}=\frac{F_2}{r_2^2}\\\\F_1 = (\frac{F_2}{r_2^2})(r_1^2)[/tex]
where,
F₁ = Force applied by compressed air on first piston = ?
F₂ = Weight lifted by second piston = 66.5 N
r₁ = radius of first piston = 10 cm
r₂ = radius of second piston = 25 cm
Therefore,
[tex]F_1 = \frac{66.5\ N}{(25\ cm)^2} (10\ cm)^2\\\\[/tex]
F₁ = 10.64 N
