AP EAMCET20228 Jul 2022Evening ShiftPhysicsMechanical Properties of FluidsActual
A hydraulic lift is shown in the figure. The radii of the movable pistons P₁ and P₂ are of 2 ~m and 8 ~m respectively. If a body of mass 2 ~kg is placed on piston P₁ then the force on piston P₂ is (Ignore atmospheric pressure, acceleration due to gravity =10 ~ms ⁻² )
Options
- A320 ~N
- B80 ~N
- C1280 ~N
- D20 ~N
Correct answer
A. 320 ~N
Step-by-step solution
In a hydraulic machine pressure at both pistons is same. Pressure at piston P₁= Pressure at piston P₂ Force on P₁ Area of P₁ = Force on P₂ Area of P₂ Force on P₂= Area P₂ Area P₁ Force P₁ Force on P₂= R₂^2 R₁^2 m g= R₂^2 m g R₁^2 = 8^2 2 10 2^2 =320 ~N .