"A hydraulic system is used to lift a" 51 kg "motor in a garage. If the motor sits on a piston of area" 0.25 m2, "and a force is applied to a piston of area" 84 cm2, "what is the minimum force that must be applied to lift the motor in units of N?"

Respuesta :

Answer:

Explanation:

Given

mass of motor [tex]m=51\ kg[/tex]

Area of piston [tex]A_1=0.25\ m^2[/tex]

Area of Piston 2 is [tex]A_2=84\ cm^2[/tex]

Weight of motor [tex]F_1=m\cdot g=51\times 9.8[/tex]

[tex]F_1=499.8\ N[/tex]

If [tex]F_2[/tex] is the force applied on the 2 nd piston

According Pascal law Pressure at both the ends are equal

[tex]\frac{F_1}{A_1}=\frac{F_2}{A_2}[/tex]

[tex]\frac{499.8}{0.25}=\frac{F_2}{84}[/tex]

[tex]F_2=167.93\ kN[/tex]

[tex]F_2=167.93\times 10^3\ N[/tex]